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It’s An Old Earth After All
how geologists used physics to show the physicists that
                  they were wrong
Methodologies

Biblical
Cooling of the Earth (Thermodynamic)
Ocean chemistry
Erosion and sedimentation
4004 BCE
Benoît de Maillet
     1656 - 1738
         Telliamed, 1748
         “Let us not measure the
         past duration of the
         world by that of our own
         years.”
         Used decline in sea level
         to obtain an age of two
         billion years.
“chiefly intended to refute the ancient
notion, some have of late entertained,
of the eternity of all things; though
perhaps by it the world may be found
much older than many have hitherto
imagined.”
John Joly
1857 - 1933


  “The quantity of sodium now
  in the sea, and the annual rate
  of its supply by the rivers,
  lead, it will be seen, to the
  deduction that the age of the
  Earth is 99 million
  years.” (1899)
Modern Salt “Clocks”
< 100 years: Al
< 1,000 years: Cr, Th, Ti, Fe
< 10,000 years: Ni, Si, Pb, Mn
< 100,000 years: Sn, Ba, Cu, Bi, Hg, Co
< 1,000,000 years: Au, Mo, Sb, Rb, Zn
< 10,000,000 years: Ag
< 100,000,000 years: Na, Mg, Li, Sr, K
Problems
Assumption of constant rate of influx across
geologic time known to be wrong.
Poorly estimated parameters: rates of erosion and
solution, rainfall, runoff, continental area, average
exposed rock composition over time.
Ignores movement of elements out of oceans,
movement which occurs at approximately the same
rate as influx. Therefore confuses residence time with
accumulation time.
Buffon
Epochs of Nature
        Formation of molten Earth
        Cooling to hand-hot
        temperature
        Enveloped with global sea
        Volcanic activity
        Emergence of land animals
        Tectonic activity forms the
        land masses
        Appearance of humans
Age of the Earth
        First application of
        experiment to problems
        of geology
        Cooling of metal spheres
        of various diameters
        Estimated 96,670 years
        for Earth to cool to
        current temperature.
William Thomson
   Lord Kelvin, 1824 - 1907

        Professor of Natural Philosophy at
        Glasgow (1846 - 1899)
        Kelvin scale (1848)
        Second Law of Thermodynamics
        (1851)
        First transatlantic cable (1866)
        Peerage (1882)
        President, Royal Society (1890 – ‘95 )
Kelvin’s
       Cooling Argument
All energy transformations result in loss of energy as
heat (1852)
“Within a finite period of time the Earth must have
been, and within a finite period of time to come the
Earth must again be, unfit for the habitation of man
as at present constituted, unless operations have
been, or are to be performed, which are impossible
under the laws to which the known operations going
on at present in the material world are subject.”
1862
“It seems, therefore, on the whole most probable
that the sun has not illuminated the earth for
100,000,000 years, and almost certain that he has
not done so for 500,000,000 years. As for the
future, we may say, with equal certainty, that
inhabitants of the earth cannot continue to enjoy
the light and heat essential to their life, for many
million years longer, unless sources now unknown
to us are prepared in the great storehouse of
creation.”
1864
“For eighteen years it has pressed on my mind, that
essential principles of Thermo-dynamics have been
overlooked by those geologists who
uncompromisingly oppose all paroxysmal
hypotheses, and maintain not only that we have
examples now before us, on the earth, of all the
different actions by which its crust has been
modified in geological history, but that these actions
have never, or have not on the whole, been more
violent in past time than they are at present.”
Assumption: The earth is a
warm, chemically inert planet
that is cooling.

Assumption: It can be modeled
as an infinite plane of infinite
thickness.

Assumption: Heat loss is
through conduction from the
center.
Kelvin’s Estimate
     “I think we may with much
     probability say that the
     consolidation cannot have taken
     place less than 20,000,000 years
     ago, or we should have more
     underground heat than we actually
     have, nor more than 400,000,000
     years ago, or we should not have
     so much as the least observed
     underground increment of
     temperature.”
Samuel Haughton
    1821 - 1897



       Applies Kelvin’s
       methodology and got an
       answer of 2.298 billion
       years.
Clarence King
   1842 - 1901


      First director of the US
      Geological Survey (1879 –
      ’81).
      24 million years (1893)
Kelvin’s curve




   King’s curve




Parameters:

T: Initial temperature
g: Thermogradient
t: Cooling time
Kelvin 1897
“During the thirty-five years which have passed since I
gave this wide-ranging estimate [20,000,000 –
400,000,000 years] experimental investigation has
supplied much of the knowledge then wanting regarding
the thermal properties of rocks to form a closer
estimate of the time which has passed since the
consolidation of the earth, and we have now good
reason for judging that it was more than 20 and less than
40 million years ago, and probably much nearer 20 than
40 … I am not led to differ much from [King’s] estimate
of 24,000,000 years.”
By 1900
Physicists seemed to be limiting the age of the Earth
to around 25 million years.
For biologists, this wasn’t a problem as they
generally didn’t subscribe to an evolutionary
process that required long periods of time and
instead allowed for directed evolution.
This was, however, a problem for the geologists
who felt that long periods of time were needed for
formation of the Earth as we see it today.
Thomas Henry Huxley
“The argument is simple enough. Assuming the earth to
be nothing but a cooling mass, the quantity of heat lost
per year, supposing the rate of cooling to have been
uniform, multiplied by any given number of years, will be
given the minimum temperature that number of years
ago. But is the earth nothing but a cooling mass… and has
its cooling been uniform? … I do not think it can be denied
that such conditions may exist, and may so greatly affect
the supply, and the loss, of terrestrial heat as to destroy
the value of any calculations which leave them out of
sight. ”
T.C. Chamberlain
      1899
      “The fascinating impressiveness
      of rigorous mathematical
      analyses, within its atmosphere
      of precision and elegance,
      should not blind us to the
      defects of the premises that
      condition the whole process.
      There is perhaps no
      beguilement more insidious and
      dangerous than an elaborate and
      elegant mathematical process
      built upon unfortified premises.”
T.C. Chamberlain
      1899

      “What the internal
      constitution of the atoms
      may be is yet an open
      question. It is not
      improbable that they are
      complex organizations and
      the seats of enormous
      energies.”
Rutherford & Soddy
                     1903

The energy from radioactive decay “must be
taken into account in cosmical physics. The
maintenance of solar energy, for example, no
longer presents any fundamental difficulty if the
internal energy of the component elements are
considered to be available, i.e., if processes of
sub-atomic change are going on.”
Ernest Rutherford
       1904
      “I saw [Kelvin] sit up, open an
      eye and cock a baleful glance at
      me! Then a sudden inspiration
      came to me, and I said Lord
      Kelvin had limited the age of
      the Earth, provided no new
      source of heat was discovered.
      That prophetic utterance refers
      to what we are considering
      tonight. Radium! Behold!”
John Joly
1857 - 1933
Problems with Kelvin’s Method

Parameters are poorly known (conductivity of
rocks; thermal gradient; initial temperature of
the Earth; heat released upon crystallization;
exact composition and structure of the Earth).
Considers conduction but not convection.
Ignores other sources of heat:
Sources of Heat
Heat left over from the formation of the
Earth, e.g. gravitational energy from compaction,
mechanical energy from meteor impacts, chemical
energy from the formation of the Fe-Ni core.
Energy from contraction due to cooling
Energy from ongoing core expansion
Radioactivity
Daughter




Parent
Constant Decay
The radioactive decay rates of nuclides used in radiometric
dating have not been observed to vary since their rates
were directly measurable, at least within limits of accuracy.
This is despite experiments that attempt to change decay
rates.
There is insufficient energy in geological processes to affect
the decay rate.
The half-lives of radioisotopes can be predicted from first
principles through quantum mechanics. Any variation would
have to come from changes to fundamental constants.
Ernest Rutherford
       1906
      “The helium observed in the radioactive
      minerals is almost certainly due to its
      production from the radium and other
      radioactive substances contained
      therein. If the rate of production of
      helium from known weights of the
      different radioelements were
      experimentally known, it should thus be
      possible to determine the interval
      required for the production of the
      amount of helium observed in
      radioactive minerals, or, in other words,
      to determine the age of the mineral.”
Arthur Holmes
   1890 - 1965
   “The association of lead with
   uranium in rock-minerals and its
   application to the measurement
   of geological time.” Transactions of
   the Royal Society (1911)
   Used U-Pb methods to date
   rocks from Ceylon to
   1,640,000,000 years – the oldest
   rocks then known.
Assumptions
Sr87 + Sr86   Rb87 + Sr86
By 1950

The geologists had come to a lower limit for the
age of the Earth of 3.35 billion years.
The cosmologists however thought the
universe was 1.80 billion years old.
We have a problem. Who is right?
Modern Estimates

       Oldest metamorphic
       rocks: 3.85 billion years
       Age of crystallization of
       oldest mineral: 4.40
       billion years
“Heavier-than-air
flying machines are
    impossible.”
“Heavier-than-air
“X-Rays are a hoax”   flying machines are
                          impossible.”
“Heavier-than-air
   “X-Rays are a hoax”             flying machines are
                                       impossible.”




       “There is nothing
   new to be discovered in
physics now. All that remains is
   more and more precise
         measurement
“Heavier-than-air
   “X-Rays are a hoax”             flying machines are
                                       impossible.”




       “There is nothing
   new to be discovered in
physics now. All that remains is
   more and more precise
         measurement

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The Age of the Earth

  • 1. It’s An Old Earth After All how geologists used physics to show the physicists that they were wrong
  • 2.
  • 3.
  • 4.
  • 5. Methodologies Biblical Cooling of the Earth (Thermodynamic) Ocean chemistry Erosion and sedimentation
  • 7.
  • 8. Benoît de Maillet 1656 - 1738 Telliamed, 1748 “Let us not measure the past duration of the world by that of our own years.” Used decline in sea level to obtain an age of two billion years.
  • 9. “chiefly intended to refute the ancient notion, some have of late entertained, of the eternity of all things; though perhaps by it the world may be found much older than many have hitherto imagined.”
  • 10. John Joly 1857 - 1933 “The quantity of sodium now in the sea, and the annual rate of its supply by the rivers, lead, it will be seen, to the deduction that the age of the Earth is 99 million years.” (1899)
  • 11. Modern Salt “Clocks” < 100 years: Al < 1,000 years: Cr, Th, Ti, Fe < 10,000 years: Ni, Si, Pb, Mn < 100,000 years: Sn, Ba, Cu, Bi, Hg, Co < 1,000,000 years: Au, Mo, Sb, Rb, Zn < 10,000,000 years: Ag < 100,000,000 years: Na, Mg, Li, Sr, K
  • 12. Problems Assumption of constant rate of influx across geologic time known to be wrong. Poorly estimated parameters: rates of erosion and solution, rainfall, runoff, continental area, average exposed rock composition over time. Ignores movement of elements out of oceans, movement which occurs at approximately the same rate as influx. Therefore confuses residence time with accumulation time.
  • 14. Epochs of Nature Formation of molten Earth Cooling to hand-hot temperature Enveloped with global sea Volcanic activity Emergence of land animals Tectonic activity forms the land masses Appearance of humans
  • 15. Age of the Earth First application of experiment to problems of geology Cooling of metal spheres of various diameters Estimated 96,670 years for Earth to cool to current temperature.
  • 16. William Thomson Lord Kelvin, 1824 - 1907 Professor of Natural Philosophy at Glasgow (1846 - 1899) Kelvin scale (1848) Second Law of Thermodynamics (1851) First transatlantic cable (1866) Peerage (1882) President, Royal Society (1890 – ‘95 )
  • 17.
  • 18. Kelvin’s Cooling Argument All energy transformations result in loss of energy as heat (1852) “Within a finite period of time the Earth must have been, and within a finite period of time to come the Earth must again be, unfit for the habitation of man as at present constituted, unless operations have been, or are to be performed, which are impossible under the laws to which the known operations going on at present in the material world are subject.”
  • 19. 1862 “It seems, therefore, on the whole most probable that the sun has not illuminated the earth for 100,000,000 years, and almost certain that he has not done so for 500,000,000 years. As for the future, we may say, with equal certainty, that inhabitants of the earth cannot continue to enjoy the light and heat essential to their life, for many million years longer, unless sources now unknown to us are prepared in the great storehouse of creation.”
  • 20. 1864 “For eighteen years it has pressed on my mind, that essential principles of Thermo-dynamics have been overlooked by those geologists who uncompromisingly oppose all paroxysmal hypotheses, and maintain not only that we have examples now before us, on the earth, of all the different actions by which its crust has been modified in geological history, but that these actions have never, or have not on the whole, been more violent in past time than they are at present.”
  • 21.
  • 22. Assumption: The earth is a warm, chemically inert planet that is cooling. Assumption: It can be modeled as an infinite plane of infinite thickness. Assumption: Heat loss is through conduction from the center.
  • 23. Kelvin’s Estimate “I think we may with much probability say that the consolidation cannot have taken place less than 20,000,000 years ago, or we should have more underground heat than we actually have, nor more than 400,000,000 years ago, or we should not have so much as the least observed underground increment of temperature.”
  • 24. Samuel Haughton 1821 - 1897 Applies Kelvin’s methodology and got an answer of 2.298 billion years.
  • 25. Clarence King 1842 - 1901 First director of the US Geological Survey (1879 – ’81). 24 million years (1893)
  • 26. Kelvin’s curve King’s curve Parameters: T: Initial temperature g: Thermogradient t: Cooling time
  • 27. Kelvin 1897 “During the thirty-five years which have passed since I gave this wide-ranging estimate [20,000,000 – 400,000,000 years] experimental investigation has supplied much of the knowledge then wanting regarding the thermal properties of rocks to form a closer estimate of the time which has passed since the consolidation of the earth, and we have now good reason for judging that it was more than 20 and less than 40 million years ago, and probably much nearer 20 than 40 … I am not led to differ much from [King’s] estimate of 24,000,000 years.”
  • 28. By 1900 Physicists seemed to be limiting the age of the Earth to around 25 million years. For biologists, this wasn’t a problem as they generally didn’t subscribe to an evolutionary process that required long periods of time and instead allowed for directed evolution. This was, however, a problem for the geologists who felt that long periods of time were needed for formation of the Earth as we see it today.
  • 29. Thomas Henry Huxley “The argument is simple enough. Assuming the earth to be nothing but a cooling mass, the quantity of heat lost per year, supposing the rate of cooling to have been uniform, multiplied by any given number of years, will be given the minimum temperature that number of years ago. But is the earth nothing but a cooling mass… and has its cooling been uniform? … I do not think it can be denied that such conditions may exist, and may so greatly affect the supply, and the loss, of terrestrial heat as to destroy the value of any calculations which leave them out of sight. ”
  • 30. T.C. Chamberlain 1899 “The fascinating impressiveness of rigorous mathematical analyses, within its atmosphere of precision and elegance, should not blind us to the defects of the premises that condition the whole process. There is perhaps no beguilement more insidious and dangerous than an elaborate and elegant mathematical process built upon unfortified premises.”
  • 31. T.C. Chamberlain 1899 “What the internal constitution of the atoms may be is yet an open question. It is not improbable that they are complex organizations and the seats of enormous energies.”
  • 32. Rutherford & Soddy 1903 The energy from radioactive decay “must be taken into account in cosmical physics. The maintenance of solar energy, for example, no longer presents any fundamental difficulty if the internal energy of the component elements are considered to be available, i.e., if processes of sub-atomic change are going on.”
  • 33. Ernest Rutherford 1904 “I saw [Kelvin] sit up, open an eye and cock a baleful glance at me! Then a sudden inspiration came to me, and I said Lord Kelvin had limited the age of the Earth, provided no new source of heat was discovered. That prophetic utterance refers to what we are considering tonight. Radium! Behold!”
  • 35. Problems with Kelvin’s Method Parameters are poorly known (conductivity of rocks; thermal gradient; initial temperature of the Earth; heat released upon crystallization; exact composition and structure of the Earth). Considers conduction but not convection. Ignores other sources of heat:
  • 36. Sources of Heat Heat left over from the formation of the Earth, e.g. gravitational energy from compaction, mechanical energy from meteor impacts, chemical energy from the formation of the Fe-Ni core. Energy from contraction due to cooling Energy from ongoing core expansion Radioactivity
  • 38.
  • 39.
  • 40.
  • 41.
  • 42. Constant Decay The radioactive decay rates of nuclides used in radiometric dating have not been observed to vary since their rates were directly measurable, at least within limits of accuracy. This is despite experiments that attempt to change decay rates. There is insufficient energy in geological processes to affect the decay rate. The half-lives of radioisotopes can be predicted from first principles through quantum mechanics. Any variation would have to come from changes to fundamental constants.
  • 43. Ernest Rutherford 1906 “The helium observed in the radioactive minerals is almost certainly due to its production from the radium and other radioactive substances contained therein. If the rate of production of helium from known weights of the different radioelements were experimentally known, it should thus be possible to determine the interval required for the production of the amount of helium observed in radioactive minerals, or, in other words, to determine the age of the mineral.”
  • 44. Arthur Holmes 1890 - 1965 “The association of lead with uranium in rock-minerals and its application to the measurement of geological time.” Transactions of the Royal Society (1911) Used U-Pb methods to date rocks from Ceylon to 1,640,000,000 years – the oldest rocks then known.
  • 46.
  • 47. Sr87 + Sr86 Rb87 + Sr86
  • 48. By 1950 The geologists had come to a lower limit for the age of the Earth of 3.35 billion years. The cosmologists however thought the universe was 1.80 billion years old. We have a problem. Who is right?
  • 49. Modern Estimates Oldest metamorphic rocks: 3.85 billion years Age of crystallization of oldest mineral: 4.40 billion years
  • 50.
  • 51.
  • 52.
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  • 57.
  • 58.
  • 59.
  • 60.
  • 61.
  • 62.
  • 64. “Heavier-than-air “X-Rays are a hoax” flying machines are impossible.”
  • 65. “Heavier-than-air “X-Rays are a hoax” flying machines are impossible.” “There is nothing new to be discovered in physics now. All that remains is more and more precise measurement
  • 66. “Heavier-than-air “X-Rays are a hoax” flying machines are impossible.” “There is nothing new to be discovered in physics now. All that remains is more and more precise measurement