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Journal of Natural Sciences Research                                                                                  www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012




 Quantum Mechanical Behaviour, Quantum Tunneling, Higgs
   Boson , Distorted Space And Time, Schrödinger’s Wave
 Function, Neuron DNA, Particles (Hypothetical signature Less
                Particles) And Consciousness
     A “Syncopated Syncretism And Atrophied Asseveration”
                            Model
                          *1
                           Dr K N Prasanna Kumar, 2Prof B S Kiranagi And 3Prof C S Bagewadi

            *1
                 Dr K N Prasanna Kumar, Post doctoral researcher, Dr KNP Kumar has three PhD’s, one each in Mathematics,
        Economics and Political science and a D.Litt. in Political Science, Department of studies in Mathematics, Kuvempu
                   University, Shimoga, Karnataka, India Correspondence Mail id : drknpkumar@gmail.com


        2
         Prof B S Kiranagi, UGC Emeritus Professor (Department of studies in Mathematics), Manasagangotri, University
                                                       of Mysore, Karnataka, India

             3
                 Prof C S Bagewadi, Chairman , Department of studies in Mathematics and Computer science, Jnanasahyadri
                                  Kuvempu university, Shankarghatta, Shimoga district, Karnataka, India



Abstract:

We give a holistic model for the systems mentioned in the foregoing. Most important implication is that
Higgs Boson is the one, which warps space and time. Concept of Neuron DNA and signature less particles
are introduced.

Key Words:

Quantum Information, Space warp, Quantum Tunneling, Environmental decoherence, Schrödinger’s wave
function, Gravitational lensing, Black holes, Higgs Boson, Consciousness

Introduction:

We take in to consideration the following to build the 36 story model which consummates and consolidates
the parameters and processes involved:

1.  Quantum Information
2.  Quantum Mechanical behaviour
3.  Quantum Tunneling
4.  Non adiabatic multi photon process in the strong vibronic coupling limit
5.  Environmental Decoherence(Green House Effects for example)
6.  Schrodinger’s wave function
7.  Gravitational lensing
8.  Black holes
9.  Faster than Light Particles (Neuron DNA- Mind, a signature less particles. How do you classify that?
    Total energy =Existing matter-Energy attributable to signature less particles. Einstein did not take in
    consideration psychic energy which is taken to be holistically conservational ,but individually and
    collectively non conservative)
10. Consciousness( Total awareness- use ASDCII and Information field capacity to find the total storage-
    Please refer Gesellshaft-Gememshaft paper on the subject matter)
11. Higgs Boson

                                                                    83
Journal of Natural Sciences Research                                                       www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012


12. Distorted Space and Time

Notation :

Quantum Mechanical Behaviour And Quantum Information
Module Numbered One

   : Category One Of Quantum Mechanical Behaviour

   : Category Two Of Quantum Mechanical Behaviour

   : Category Three Of Quantum Mechanical Behaviour

   : Category One Of Quantum Information

   : Category Two Of Quantum Information

   :Category Three Of Quantum Information

Non Adiabatic Multi Phonon Process In The Strong Vibronic Coupling And Quantum Tunneling

Module Numbered Two:

   : Category One Of Non Adiabatic Multi Phonon Process

   : Category Two Of Non Adiabatic Multi phonon Process

   : Category Three Of Non Adiabatic Multi Phonon Process

   :Category One Of Quantum Tunneling(There Are Lot Of Tunnels)

   : Category Two Of Quantum Tunneling

   : Category Three Of Quantum Tunneling

Environmental Decoherence (For Example Green House Effects) And Collapse of Schrodinger’s Wave
Function:

Module Numbered Three:

   : Category One Of Collapse Of Schrodinger’s Wave Function(There Are Lot Of Potentialities)

   :Category Two Of Collapse Of Schrodinger’s Wave Function

   : Category Three Of Collapse Of Schrodinger’s Wave Function

   : Category One Of Environmental Decoherence

   :Category Two Of Environmental Decoherence

   : Category Three Of Environmental Decoherence

Gravitational Lensing And Black holes

Module Numbered Four:

   : Category One Of Black holes

   : Category Two Of Black holes




                                                   84
Journal of Natural Sciences Research                                                                                                                              www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012


    : Category Three Ofblack Holes

    :Category One Of gravitational Lensing

    :Category Two Of Gravitational Lensing

    : Category Three Of Gravitational Lensing

Faster Than Light Particles(Hypothetical Particles Of Neuron DNA-Mind) And Consciousness(Total
Awareness With Visual Images: Calculated Based On Ascii And Information Field Capacity)

Module Numbered Five:

    : Category One Of Faster Than Light Particles(Signatureless Neuron Dna)

    : Category Two Of Faster Than Light(Signatureless neuron Dna)

    :Category Three Of Faster Thank Light Neuron Dna Particles Without Signature

     :Category One Of Consciousness(Just Total Knowledge That Is Stored Like In Computer-See
Gratification Deprivation Model For Details)

    :Category Two Of Consciousness

    :Category Three Of Consciousness

Distorted Space And Time (St Warp) And Higgs Boson

Module Numbered Six:

    : Category One Of Higgs Boson

    : Category Two Of Higgs Boson

    : Category Three Of Higgs Boson

    : Category One Of Distorted Space And Time

    : Category Two Of Distorted Space And Time

    : Category Three Of Distorted Space And Time



(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(   )
                                                        (   )(    )
                                                                          (   )( ) (                )(    )
                                                                                                                  (       )(   )
                                                                                                                                       (        )(    )


(   )(   )
             (   )(   )
                          (   )( ) : (     )(   )
                                                        (   )(    )
                                                                          (   )(    )
                                                                                                (        )(       )
                                                                                                                      (        )(      )
                                                                                                                                            (        )(       )


(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(   )
                                                        (   )(    )
                                                                          (   )(    )
                                                                                            (       )(    )
                                                                                                                  (       )(    )
                                                                                                                                        (       )( ) ,
(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(   )
                                                        (   )(    )
                                                                          (   )(    )
                                                                                            (        )(       )
                                                                                                                  (       )(       )
                                                                                                                                        (       )(        )


are Accentuation coefficients
(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(   )
                                                        (   )(    )
                                                                          (   )(   )
                                                                                            (       )(    )
                                                                                                                  (       )(    )
                                                                                                                                        (       )(    )


(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(       )
                                                        (    )(       )
                                                                          (    )(       )
                                                                                            (        )(       )
                                                                                                                      (    )(       )
                                                                                                                                           (     )(       )


(   )(   )
             (   )(   )
                          (   )(   )
                                       (   )(   )
                                                        (   )(    )
                                                                          (   )(    )
                                                                                            (       )(    )
                                                                                                                  (       )(    )
                                                                                                                                        (       )(    )




                                                                                            85
Journal of Natural Sciences Research                                                                                                           www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012


(       )(   )
                 (        )(   )
                                   (      )( ) , (           )(   )
                                                                      (    )(   )
                                                                                    (         )(   )
                                                                                                       (    )(   )
                                                                                                                     (   )(   )
                                                                                                                                  (   )(   )


are Dissipation coefficients
Quantum Mechanical Behaviour And Quantum Information

Module Numbered One

The differential system of this model is now (Module Numbered one)

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) (        )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) (        )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) (        )]

    (    )( ) (                )        First augmentation factor

    (    )( ) (           )            First detritions factor

Non Adiabatic Multi Phonon Process In The Strong Vibronic Coupling And Quantum Tunneling

Module Numbered Two:

The differential system of this model is now ( Module numbered two)

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                         [(     )(       )
                                                              (        )( ) (            )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) ((        ) )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) ((        ) )]

             (       )(   )
                                        [(     )(    )
                                                             (        )( ) ((        ) )]

    (    )( ) (                )        First augmentation factor

    (    )( ) ((              ) )            First detritions factor

Environmental Decoherence (For Example Green House Effects) And Collapse of Schrodinger’s Wave
Function:

Module Numbered Three

The differential system of this model is now (Module numbered three)



                                                                                                       86
Journal of Natural Sciences Research                                                   www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012


       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) (    )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) (    )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) (    )]

 (    )( ) (            )     First augmentation factor

 (    )( ) (            )     First detritions factor

Gravitational Lensing And Black holes

Module Numbered Four

The differential system of this model is now (Module numbered Four)

       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(      )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

 (    )( ) (            )     First augmentation factor

 (    )( ) ((           ) )        First detritions factor

Faster Than Light Particles (Hypothetical Particles Of Neuron Dna-Mind) And Consciousness(Total
Awareness With Visual Images: Calculated Based On Ascii And Information Field Capacity)

Module Numbered Five

The differential system of this model is now (Module number five)

       (       )(   )
                              [(      )(   )
                                                   (    )( ) (    )]

       (       )(   )
                              [(      )(   )
                                                   (   )( ) (     )]

       (       )(   )
                              [(      )(   )
                                                   (    )( ) (    )]



                                                                        87
Journal of Natural Sciences Research                                                               www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012


       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

 (    )( ) (            )     First augmentation factor

 (    )( ) ((           ) )        First detritions factor

Distorted Space And Time(St Warp) And Higgs Boson:

Module Numbered Six

The differential system of this model is now (Module numbered Six)

       (       )(   )
                               [(     )(       )
                                                   (    )( ) (    )]

       (       )(   )
                               [(     )(       )
                                                   (    )( ) (    )]

       (       )(   )
                               [(     )(       )
                                                   (    )( ) (    )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

       (       )(   )
                              [(     )(    )
                                                   (   )( ) ((   ) )]

 (    )( ) (            )     First augmentation factor

 (    )( ) ((           ) )        First detritions factor

Holistic Concatenated Equations Henceforth Referred To As “Global Equations”

1.  Quantum Information
2.  Quantum Mechanical behavior
3.  Quantum Tunneling
4.  Non adiabatic multi photon process in the strong vibronic coupling limit
5.  Environmental Decoherence(Green House Effects for example)
6.  Schrodinger’s wave function
7.  Gravitational Lensing
8.  Black holes
9.  Faster than Light Particles (Neuron DNA- Mind, a signature less particles How do you classify that?
    Total energy =Existing matter-Energy attributable to signature less particles. Einstein did not take in
    consideration psychic energy which is taken to be holistically conservational ,but individually and
    collectively non conservative)
10. Consciousness( Total awareness- use ASCII and Information field capacity to find the total storage-
    Please refer Gesellschaft- Gemeinschaft paper on the subject matter)
11. Higgs Boson
12. Distorted Space and Time




                                                                        88
Journal of Natural Sciences Research                                                                                                                                                                                                                                                                          www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012



                                                                       (                   )(       )
                                                                                                            (                )( ) (                           )                   (            )(           )
                                                                                                                                                                                                                (           )           (            )(           )
                                                                                                                                                                                                                                                                      (                   )
             (                   )(   )
                                                              [                                                                                                                                                                                                                                       ]
                                                                                                    (                   )                                                             (              )                                           (                    )
                                                                            (                   )                           (                     )           (                   )                      (              )           (           )                         (                   )

                                                                       (                   )(       )
                                                                                                            (                )( ) (                           )                   (            )(           )
                                                                                                                                                                                                                (           )           (            )(           )
                                                                                                                                                                                                                                                                      (                   )
             (                   )(   )
                                                              [                                                                                                                                                                                                                                       ]
                                                                            (                   )(                      )
                                                                                                                            (                     )           (                   )(                )
                                                                                                                                                                                                         (              )           (           )(                    )
                                                                                                                                                                                                                                                                          (                   )

                                                                       (                   )(       )
                                                                                                            (                )( ) (                           )                   (            )(           )
                                                                                                                                                                                                                (           )           (            )(           )
                                                                                                                                                                                                                                                                      (                   )
             (                   )(   )
                                                              [                                                                                                                                                                                                                                       ]
                                                                            (                   )(                      )
                                                                                                                            (                     )           (                   )(                 )
                                                                                                                                                                                                         (              )           (           )(                    )
                                                                                                                                                                                                                                                                          (                   )

Where (              )( ) (                     )         (            )( ) (                           )   (               )( ) (                    ) are first augmentation coefficients for category 1, 2 and 3

  (     )(           )
                         (                ) ,         (            )(              )
                                                                                       (                ) ,           (           )(          )
                                                                                                                                                  (               ) are second augmentation coefficient for category 1, 2 and 3

  (     )(           )
                         (                )           (           )(            )
                                                                                    (                   )           (            )(           )
                                                                                                                                                  (           ) are third augmentation coefficient for category 1, 2 and 3

 (      )(                   )
                                 (            ) ,             (            )(                       )
                                                                                                        (           ) ,               (           )(                  )
                                                                                                                                                                          (                ) are fourth augmentation coefficient for category 1, 2 and 3

 (      )(                   )
                                 (            )           (            )(                   )
                                                                                                (               )                (        )(                  )
                                                                                                                                                                  (                   ) are fifth augmentation coefficient for category 1, 2 and 3

 (      )(                   )
                                 (            ),          (            )(                       )
                                                                                                    (           ) ,               (           )(                  )
                                                                                                                                                                      (                   ) are sixth augmentation coefficient for category 1, 2 and 3


                                                                       (                   )(       )
                                                                                                              (              )( ) (                       )                   (            )(           )
                                                                                                                                                                                                            (               ) –(                 )(           )
                                                                                                                                                                                                                                                                  (                   )
                                 ( )
             (               )                            [                                                                                                                                                                                                                                           ]
                                                                           (                )(                      )
                                                                                                                        (                     )               (                   )(                )
                                                                                                                                                                                                        (               )           (           )(                    )
                                                                                                                                                                                                                                                                          (                   )


                                                                       (                )(          )
                                                                                                            (               )( ) (                     )                      (            )(       )
                                                                                                                                                                                                         (              ) –(                    )(            )
                                                                                                                                                                                                                                                                  (                   )
             (               )(       )
                                                          [                                                                                                                                                                                                                                       ]
                                                                           (                )(                      )
                                                                                                                        (                     )               (               )(                    )
                                                                                                                                                                                                        (               )           (           )(                    )
                                                                                                                                                                                                                                                                          (                   )

                                                                       (                   )(       )
                                                                                                            (                )( ) (                       )                   (            )(           )
                                                                                                                                                                                                            (           ) –(                    )(            )
                                                                                                                                                                                                                                                                  (                   )
             (               )(       )
                                                          [                                                                                                                                                                                                                                           ]
                                                                           (                )(                      )
                                                                                                                        (                     )               (                   )(                )
                                                                                                                                                                                                        (               )           (           )(                    )
                                                                                                                                                                                                                                                                          (                   )

Where        (               )( ) (               )           (            )( ) (                       )           (            )( ) (                ) are first detrition coefficients for category 1, 2 and 3

 (      )(       )
                     (                )               (           )(        )
                                                                                (                       )         (             )(        )
                                                                                                                                              (               ) are second detrition coefficients for category 1, 2 and 3

 (      )(       )
                     (                )               (           )(           )
                                                                                   (                    )           (            )(       )
                                                                                                                                              (               ) are third detrition coefficients for category 1, 2 and 3

 (      )(                   )
                                 (            )               (         )(                      )
                                                                                                    (             )               (           )(                  )
                                                                                                                                                                      (                   ) are fourth detrition coefficients for category 1, 2 and 3

 (      )(                   )
                                 (            ) ,             (            )(                   )
                                                                                                    (               ) ,              (            )(              )
                                                                                                                                                                          (                ) are fifth detrition coefficients for category 1, 2 and 3

 (      )(                   )
                                 (            ) ,             (            )(                   )
                                                                                                    (               ) ,              (            )(                  )
                                                                                                                                                                          (                ) are sixth detrition coefficients for category 1, 2 and 3


                                                                           (                )(          )
                                                                                                                (                )( ) (                           )                   (         )(              )
                                                                                                                                                                                                                    (           )           (         )(                  )
                                                                                                                                                                                                                                                                              (                   )
             (                   )(   )
                                                              [                                                                                                                                                                                                                                               ]
                                                                                                        (                    )                                                             (                    )                                         (                       )
                                                                               (                )                                (                    )               (                )                            (           )           (         )                               (                   )




                                                                                                                                                                                      89
Journal of Natural Sciences Research                                                                                                                                                                                                                                                                               www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012



                                                                          (                    )(       )
                                                                                                                       (                )( ) (                              )               (                )(            )
                                                                                                                                                                                                                               (               )        (        )(                )
                                                                                                                                                                                                                                                                                       (                   )
             (                   )(       )
                                                              [                                                                                                                                                                                                                                                    ]
                                                                                                       (                           )                                                                (                  )                                             (                     )
                                                                              (                    )                                   (                        )           (                   )                          (                   )        (        )                             (               )

                                                                              (                )(          )
                                                                                                                           (               )( ) (                           )                   (            )(            )
                                                                                                                                                                                                                               (                )       (            )(            )
                                                                                                                                                                                                                                                                                       (                   )
             (                   )(       )
                                                              [                                                                                                                                                                                                                                                    ]
                                                                                  (                )(                               )
                                                                                                                                        (                       )               (               )(                         )
                                                                                                                                                                                                                               (                )       (            )(                        )
                                                                                                                                                                                                                                                                                                   (           )

Where        (               )( ) (                   )               (               )( ) (                           )               (            )( ) (                      ) are first augmentation coefficients for category 1, 2 and 3

 (      )(           )
                         (                ) ,         (            )(             )
                                                                                      (                 ) ,                (               )(           )
                                                                                                                                                            (               ) are second augmentation coefficient for category 1, 2 and 3

 (      )(               )
                             (                )           (           )(               )
                                                                                           (                   )               (               )(               )
                                                                                                                                                                    (           ) are third augmentation coefficient for category 1, 2 and 3

 (      )(                       )
                                     (            )           (            )(                          )
                                                                                                           (                   )            (               )(                  )
                                                                                                                                                                                    (                   ) are fourth augmentation coefficient for category 1, 2 and 3

 (      )(                       )
                                     (            ),          (               )(                       )
                                                                                                           (                   ) ,              (               )(                  )
                                                                                                                                                                                        (                   ) are fifth augmentation coefficient for category 1, 2 and 3

 (      )(                       )
                                     (            ),          (               )(                       )
                                                                                                           (                   ) ,                 (            )(                  )
                                                                                                                                                                                        (                   ) are sixth augmentation coefficient for category 1, 2 and 3


                                                                          (                    )(       )
                                                                                                                       (                )( ) (                              )                   (            )(            )
                                                                                                                                                                                                                               (               ) –(             )(            )
                                                                                                                                                                                                                                                                                  (                    )
                                     ( )
             (                   )                            [                                                                                                                                                                                                                                                    ]
                                                                           (                   )(                              )
                                                                                                                                   (                        )               (               )(                         )
                                                                                                                                                                                                                           (                   )        (       )(                         )
                                                                                                                                                                                                                                                                                               (               )

                                                                           (                   )(          )
                                                                                                                       (                )( ) (                              )                   (            )(                )
                                                                                                                                                                                                                                   (           ) –(             )(             )
                                                                                                                                                                                                                                                                                   (                   )
                                     ( )
             (                   )                            [                                                                                                                                                                                                                                                    ]
                                                                           (                   )(                              )
                                                                                                                                   (                        )               (               )(                         )
                                                                                                                                                                                                                           (                   )        (       )(                         )
                                                                                                                                                                                                                                                                                               (               )

                                                                          (                    )(       )
                                                                                                                       (                )( ) (                              )                   (            )(            )
                                                                                                                                                                                                                               (               ) –(             )(            )
                                                                                                                                                                                                                                                                                  (                    )
             (                   )(       )
                                                              [                                                                                                                                                                                                                                                    ]
                                                                           (                   )(                              )
                                                                                                                                   (                        )               (               )(                         )
                                                                                                                                                                                                                           (                   )        (       )(                         )
                                                                                                                                                                                                                                                                                               (               )

                 (               )( ) (                ) ,                 (               )( ) (                          ) ,                  (           )( ) (                      ) are first detrition coefficients for category 1, 2 and 3

 (      )(       )
                     (                )           (           )(          )
                                                                              (                ) ,                 (           )(          )
                                                                                                                                               (            ) are second detrition coefficients for category 1,2 and 3

 (      )(               )
                             (                )           (           )(                   )
                                                                                               (                   )                (           )(                  )
                                                                                                                                                                        (           ) are third detrition coefficients for category 1,2 and 3

 (      )(                       )
                                     (            )           (            )(                          )
                                                                                                           (                   )               (            )(                  )
                                                                                                                                                                                    (                   ) are fourth detrition coefficients for category 1,2 and 3

 (      )(                       )
                                     (            ) ,             (           )(                           )
                                                                                                               (                   ) ,              (               )(                  )
                                                                                                                                                                                            (                ) are fifth detrition coefficients for category 1,2 and 3

 (      )(                       )
                                     (            )           (            )(                          )
                                                                                                           (                   ) ,              (               )(                  )
                                                                                                                                                                                        (                   ) are sixth detrition coefficients for category 1,2 and 3


                                                                                  (                 )(             )
                                                                                                                               (               )( ) (                           )                   (             )(                   )
                                                                                                                                                                                                                                           (        )       (             )(                   )
                                                                                                                                                                                                                                                                                                   (           )
                                     ( )
             (                   )                            [                                                                                                                                                                                                                                                                ]
                                                                               (                   )(                                   )
                                                                                                                                            (                        )              (               )(                                 )
                                                                                                                                                                                                                                           (        )       (             )(                           )
                                                                                                                                                                                                                                                                                                           (           )


                                                                              (                    )(          )
                                                                                                                           (               )( ) (                               )               (             )(                   )
                                                                                                                                                                                                                                       (            )       (            )(                )
                                                                                                                                                                                                                                                                                               (               )
             (                   )(       )
                                                              [                                                                                                                                                                                                                                                            ]
                                                                                                   (                                   )                                                                (                          )                                      (                            )
                                                                              (                 )                                          (                        )           (               )                                      (            )       (            )                                 (           )




                                                                                                                                                                                                90
Journal of Natural Sciences Research                                                                                                                                                                                                                                                                      www.iiste.org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.2, No.4, 2012



                                                                              (                )(         )
                                                                                                                          (                )( ) (                           )         (         )(               )
                                                                                                                                                                                                                     (               )       (            )(                  )
                                                                                                                                                                                                                                                                                  (                   )
                 (               )(       )
                                                                 [                                                                                                                                                                                                                                             ]
                                                                                                  (                                   )                                                    (                     )                                            (                           )
                                                                              (                )                                          (                    )              (        )                             (               )       (            )                                   (           )

    (       )( ) (                    ),          (             )( ) (                     ),             (               )( ) (                       ) are first augmentation coefficients for category 1, 2 and 3

    (       )(           )
                             (                )             (        )(               )
                                                                                          (                ) ,                (               )(           )
                                                                                                                                                               (              ) are second augmentation coefficients for category 1, 2 and 3

    (       )(           )
                             (                )             (           )(             )
                                                                                           (                  )               (               )(            )
                                                                                                                                                                (               ) are third augmentation coefficients for category 1, 2 and 3

  ( )(                            )
                                      (               ) ,            (            )(                              )
                                                                                                                      (                   )            (            )(                 )
                                                                                                                                                                                           (         ) are fourth augmentation coefficients for category 1, 2
and 3

    (       )(                    )
                                      (               )             (          )(                             )
                                                                                                                  (                   )            (            )(                 )
                                                                                                                                                                                       (            ) are fifth augmentation coefficients for category 1, 2 and 3

    (       )(                    )
                                      (               )              (            )(                          )
                                                                                                                  (                    )           (               )(              )
                                                                                                                                                                                       (            ) are sixth augmentation coefficients for category 1, 2 and
3


                                                                                  (                )(         )
                                                                                                                              (               )( ) (                            ) –(                )(               )
                                                                                                                                                                                                                         (               ) –(             )(                      )
                                                                                                                                                                                                                                                                                      (           )
                 (               )(   )
                                                                [                                                                                                                                                                                                                                              ]
                                                                              (                )(                                     )
                                                                                                                                          (                    )              (        )(                        )
                                                                                                                                                                                                                     (               )       (            )(                              )
                                                                                                                                                                                                                                                                                              (            )

                                                                                  (                )(         )
                                                                                                                          (                   )( ) (                          ) –(              )(               )
                                                                                                                                                                                                                     (               ) –(                 )(                  )
                                                                                                                                                                                                                                                                                  (               )
                 (               )(   )
                                                                [                                                                                                                                                                                                                                              ]
                                                                              (                )(                                     )
                                                                                                                                          (                    )              (        )(                        )
                                                                                                                                                                                                                     (               )       (            )(                              )
                                                                                                                                                                                                                                                                                              (            )

                                                                                  (                )(         )
                                                                                                                              (               )( ) (                            ) –(                )(               )
                                                                                                                                                                                                                         (               ) –(             )(                      )
                                                                                                                                                                                                                                                                                      (           )
                 (               )(   )
                                                                [                                                                                                                                                                                                                                              ]
                                                                              (                )(                                     )
                                                                                                                                          (                    )              (        )(                        )
                                                                                                                                                                                                                     (               )       (            )(                              )
                                                                                                                                                                                                                                                                                              (            )

    (       )( ) (                    )             (           )( ) (                        )               (               )( ) (                       ) are first detrition coefficients for category 1, 2 and 3

    (       )(           )
                             (                ) ,           (            )(            )
                                                                                           (                  ) ,                 (           )(           )
                                                                                                                                                               (                ) are second detrition coefficients for category 1, 2 and 3

    (       )(           )
                             (            )             (           )(            )
                                                                                      (            ) ,                (               )(           )
                                                                                                                                                       (            ) are third detrition coefficients for category 1,2 and 3

    (       )(                    )
                                      (                 )           (             )(                          )
                                                                                                                  (                   )            (            )(                 )
                                                                                                                                                                                       (            ) are fourth detrition coefficients for category 1, 2 and 3

        (    )(                       )
                                          (                 )            (         )(                             )
                                                                                                                      (                   )            (             )(                )
                                                                                                                                                                                           (         ) are fifth detrition coefficients for category 1, 2 and 3

    (       )(                    )
                                      (                 )           (             )(                          )
                                                                                                                  (                   )            (            )(                 )
                                                                                                                                                                                       (            ) are sixth detrition coefficients for category 1, 2 and 3


                                                                          (                )(         )
                                                                                                                  (                   )( ) (                            )         (            )(        )
                                                                                                                                                                                                             (                   )       (           )(           )
                                                                                                                                                                                                                                                                      (                   )
                     (            )(          )
                                                                     [                                                                                                                                                                                                                            ]
                                                                                                          (                       )                                                    (             )                                           (                    )
                                                                                   (                  )                               (                    )              (        )                     (                   )       (       )                            (                   )

                                                                          (                )(         )
                                                                                                                  (                   )( ) (                            )         (            )(        )
                                                                                                                                                                                                             (                   )       (           )(           )
                                                                                                                                                                                                                                                                      (                   )
                     (            )(          )
                                                                     [                                                                                                                                                                                                                            ]
                                                                                                       (                          )                                                    (             )                                           (                    )
                                                                                   (                )                                 (                    )              (        )                     (                   )       (       )                            (               )

                                                                          (                )(         )
                                                                                                                  (                   )( ) (                            )         (            )(        )
                                                                                                                                                                                                             (                   )       (           )(           )
                                                                                                                                                                                                                                                                      (                   )
                     (            )(          )
                                                                     [                                                                                                                                                                                                                            ]
                                                                                                       (                      )                                                        (            )                                            (                    )
                                                                                  (                )                                  (                 )                (        )                      (                   )       (       )                            (               )

                 (           )( ) (                 )           (            )( ) (                       )           (               )( ) (                   )




                                                                                                                                                                                   91
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson
Quantum mechanical behaviour, quantum tunneling, higgs boson

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Quantum mechanical behaviour, quantum tunneling, higgs boson

  • 1. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 Quantum Mechanical Behaviour, Quantum Tunneling, Higgs Boson , Distorted Space And Time, Schrödinger’s Wave Function, Neuron DNA, Particles (Hypothetical signature Less Particles) And Consciousness A “Syncopated Syncretism And Atrophied Asseveration” Model *1 Dr K N Prasanna Kumar, 2Prof B S Kiranagi And 3Prof C S Bagewadi *1 Dr K N Prasanna Kumar, Post doctoral researcher, Dr KNP Kumar has three PhD’s, one each in Mathematics, Economics and Political science and a D.Litt. in Political Science, Department of studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India Correspondence Mail id : drknpkumar@gmail.com 2 Prof B S Kiranagi, UGC Emeritus Professor (Department of studies in Mathematics), Manasagangotri, University of Mysore, Karnataka, India 3 Prof C S Bagewadi, Chairman , Department of studies in Mathematics and Computer science, Jnanasahyadri Kuvempu university, Shankarghatta, Shimoga district, Karnataka, India Abstract: We give a holistic model for the systems mentioned in the foregoing. Most important implication is that Higgs Boson is the one, which warps space and time. Concept of Neuron DNA and signature less particles are introduced. Key Words: Quantum Information, Space warp, Quantum Tunneling, Environmental decoherence, Schrödinger’s wave function, Gravitational lensing, Black holes, Higgs Boson, Consciousness Introduction: We take in to consideration the following to build the 36 story model which consummates and consolidates the parameters and processes involved: 1. Quantum Information 2. Quantum Mechanical behaviour 3. Quantum Tunneling 4. Non adiabatic multi photon process in the strong vibronic coupling limit 5. Environmental Decoherence(Green House Effects for example) 6. Schrodinger’s wave function 7. Gravitational lensing 8. Black holes 9. Faster than Light Particles (Neuron DNA- Mind, a signature less particles. How do you classify that? Total energy =Existing matter-Energy attributable to signature less particles. Einstein did not take in consideration psychic energy which is taken to be holistically conservational ,but individually and collectively non conservative) 10. Consciousness( Total awareness- use ASDCII and Information field capacity to find the total storage- Please refer Gesellshaft-Gememshaft paper on the subject matter) 11. Higgs Boson 83
  • 2. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 12. Distorted Space and Time Notation : Quantum Mechanical Behaviour And Quantum Information Module Numbered One : Category One Of Quantum Mechanical Behaviour : Category Two Of Quantum Mechanical Behaviour : Category Three Of Quantum Mechanical Behaviour : Category One Of Quantum Information : Category Two Of Quantum Information :Category Three Of Quantum Information Non Adiabatic Multi Phonon Process In The Strong Vibronic Coupling And Quantum Tunneling Module Numbered Two: : Category One Of Non Adiabatic Multi Phonon Process : Category Two Of Non Adiabatic Multi phonon Process : Category Three Of Non Adiabatic Multi Phonon Process :Category One Of Quantum Tunneling(There Are Lot Of Tunnels) : Category Two Of Quantum Tunneling : Category Three Of Quantum Tunneling Environmental Decoherence (For Example Green House Effects) And Collapse of Schrodinger’s Wave Function: Module Numbered Three: : Category One Of Collapse Of Schrodinger’s Wave Function(There Are Lot Of Potentialities) :Category Two Of Collapse Of Schrodinger’s Wave Function : Category Three Of Collapse Of Schrodinger’s Wave Function : Category One Of Environmental Decoherence :Category Two Of Environmental Decoherence : Category Three Of Environmental Decoherence Gravitational Lensing And Black holes Module Numbered Four: : Category One Of Black holes : Category Two Of Black holes 84
  • 3. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 : Category Three Ofblack Holes :Category One Of gravitational Lensing :Category Two Of Gravitational Lensing : Category Three Of Gravitational Lensing Faster Than Light Particles(Hypothetical Particles Of Neuron DNA-Mind) And Consciousness(Total Awareness With Visual Images: Calculated Based On Ascii And Information Field Capacity) Module Numbered Five: : Category One Of Faster Than Light Particles(Signatureless Neuron Dna) : Category Two Of Faster Than Light(Signatureless neuron Dna) :Category Three Of Faster Thank Light Neuron Dna Particles Without Signature :Category One Of Consciousness(Just Total Knowledge That Is Stored Like In Computer-See Gratification Deprivation Model For Details) :Category Two Of Consciousness :Category Three Of Consciousness Distorted Space And Time (St Warp) And Higgs Boson Module Numbered Six: : Category One Of Higgs Boson : Category Two Of Higgs Boson : Category Three Of Higgs Boson : Category One Of Distorted Space And Time : Category Two Of Distorted Space And Time : Category Three Of Distorted Space And Time ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) : ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) , ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) are Accentuation coefficients ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) 85
  • 4. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) ( )( ) ( )( ) , ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) are Dissipation coefficients Quantum Mechanical Behaviour And Quantum Information Module Numbered One The differential system of this model is now (Module Numbered one) ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) ( ) First augmentation factor ( )( ) ( ) First detritions factor Non Adiabatic Multi Phonon Process In The Strong Vibronic Coupling And Quantum Tunneling Module Numbered Two: The differential system of this model is now ( Module numbered two) ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) ( ) First augmentation factor ( )( ) (( ) ) First detritions factor Environmental Decoherence (For Example Green House Effects) And Collapse of Schrodinger’s Wave Function: Module Numbered Three The differential system of this model is now (Module numbered three) 86
  • 5. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) ( ) First augmentation factor ( )( ) ( ) First detritions factor Gravitational Lensing And Black holes Module Numbered Four The differential system of this model is now (Module numbered Four) ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) ( ) First augmentation factor ( )( ) (( ) ) First detritions factor Faster Than Light Particles (Hypothetical Particles Of Neuron Dna-Mind) And Consciousness(Total Awareness With Visual Images: Calculated Based On Ascii And Information Field Capacity) Module Numbered Five The differential system of this model is now (Module number five) ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] 87
  • 6. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) ( ) First augmentation factor ( )( ) (( ) ) First detritions factor Distorted Space And Time(St Warp) And Higgs Boson: Module Numbered Six The differential system of this model is now (Module numbered Six) ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) ( )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) [( )( ) ( )( ) (( ) )] ( )( ) ( ) First augmentation factor ( )( ) (( ) ) First detritions factor Holistic Concatenated Equations Henceforth Referred To As “Global Equations” 1. Quantum Information 2. Quantum Mechanical behavior 3. Quantum Tunneling 4. Non adiabatic multi photon process in the strong vibronic coupling limit 5. Environmental Decoherence(Green House Effects for example) 6. Schrodinger’s wave function 7. Gravitational Lensing 8. Black holes 9. Faster than Light Particles (Neuron DNA- Mind, a signature less particles How do you classify that? Total energy =Existing matter-Energy attributable to signature less particles. Einstein did not take in consideration psychic energy which is taken to be holistically conservational ,but individually and collectively non conservative) 10. Consciousness( Total awareness- use ASCII and Information field capacity to find the total storage- Please refer Gesellschaft- Gemeinschaft paper on the subject matter) 11. Higgs Boson 12. Distorted Space and Time 88
  • 7. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fourth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are sixth augmentation coefficient for category 1, 2 and 3 ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( ) ( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are second detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detrition coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fifth detrition coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are sixth detrition coefficients for category 1, 2 and 3 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 89
  • 8. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) Where ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficient for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are fifth augmentation coefficient for category 1, 2 and 3 ( )( ) ( ), ( )( ) ( ) , ( )( ) ( ) are sixth augmentation coefficient for category 1, 2 and 3 ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( ) ( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( ) ( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are first detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are second detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detrition coefficients for category 1,2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are fifth detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are sixth detrition coefficients for category 1,2 and 3 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( ) ( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 90
  • 9. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.2, No.4, 2012 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ), ( )( ) ( ), ( )( ) ( ) are first augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are second augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are third augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) ( )( ) ( ) are fourth augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth augmentation coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are sixth augmentation coefficients for category 1, 2 and 3 ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( )( ) ( ) –( )( ) ( ) –( )( ) ( ) ( )( ) [ ] ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are first detrition coefficients for category 1, 2 and 3 ( )( ) ( ) , ( )( ) ( ) , ( )( ) ( ) are second detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) , ( )( ) ( ) are third detrition coefficients for category 1,2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fourth detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are fifth detrition coefficients for category 1, 2 and 3 ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) are sixth detrition coefficients for category 1, 2 and 3 ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( )( ) ( ) ( )( ) ( ) 91