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Quantum
 G rav ity

 Tapio Salminen
Chapter 1.

Motivation
Theoretical
   physics
You should do
things that make
   you happy!
Or could it
possibly be?
Have to dig a
little deeper...
“Curiosity is a powerful
human impulse – some
distance below sex and greed,
I grant you, but far ahead
of altruism – and I was
simply curious.”

    -- Robert Harris, Ghost
Chapter 2.

Quantum gravity
Horava     Quantum
          gravity    graphity



Loops                           NC QFT



             Quantum
              G rav ity
Strings
The heart of the problem
 - Einstein's equations
Geometry = Energy
Ideas of emergent gravity
Ideas of emergent gravity


String theory


                A coherent state of gravitons
Ideas of emergent gravity

                Still background dependent!


String theory


                A coherent state of gravitons
Ideas of emergent gravity


Loop quantum gravity
    Background independent
    Problem of time
The problem of time
The problem of time


          Quantum mechanics
The problem of time


           General relativity
“Motion and change are primary. Nothing
is, except in a very approximate and
temporary sense. ... if we want to think
fundamentally we must not lose sight
of the essential fact that 'is' is an
illusion.”
                         -- Lee Smolin
Horava     Quantum
          gravity    graphity



Loops                           NC QFT



             Quantum
              G rav ity
Strings
Chapter 3.
Quantum spacetime
Quantum theory
Quantum mechanics

Quantum phase space



Quantum oscillator
Quantum field theory

Quantum felds



and their excitations
Quantum spacetime

  Quantum
  coordinates
Looks like it
will be very
complicated...
Noncommutative quantum
      field theory

Start with a usual, commutative, quantum field theory:
Noncommutative quantum
      field theory

...and insert modified products:
You will still have
to check everything
starting from
scratch!
CPT
causality            symmetries




Start checking!
 Interactions                       spin-
                particles         statistics
So this is all just
familiar calculations
with a bit more
math?

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Quantum Gravity