Introduction.
§ 61. The EF-frame.
§ 62. Chirality of the double frame.
§ 63. The interchange operator.
§ 64. Duals.
§ 65. The CD-frame.
§ 66. Double phase space.
§ 67. The uranoid and the aether.
§ 68. The tensor identities.
§ 69. The quantum-classical analogy.
§ 70. Recoil rotations.
§ 71. Transformation to a relative frame.
Chapter XII [continued].
§ 125. Symbolic occupation.
§ 126. Einstein-Bose particles.
§ 127. Photons.
§ 128. Life-time of the mesotron.
Chapter XIII: Epistemological Theory.
[§§ 129–136.] As in Proceedings of the Cambridge Philosophical Society, vol. xl (1944), p. 37, expanded.
Chapter XIV. Summary.
§ 137. The principles of fundamental theory.
(i) Chapter IX: The Molar Electromagnetic Field.
Gauge transformations.
(ii) Chapter IX: The Molar Electromagnetic Field.
Affine field theory.
§ 121. Radiation by a moving electron.
§ 122. Transition probabilities.
§ 123. Compton scattering.
§ 124. Transverse self energy of a particle.
Introduction.
Part I: The Uncertainty of the Reference Frame.
§ 1. The uncertainty of the origin.
§ 2. The Bernoulli fluctuation.
§ 3. The standard of length.
§ 4. Range of nuclear forces and the recession of the nebulae.
§ 5. Uranoids.
§ 6. The extraneous standard and scale-free physics.
§ 7. Stabilised characteristics.
§ 8. Pseudo-discrete states.
Part II: Multiplicity Factors.
§ 9. The rigid field treatment.
§ 10. Rigid fields in scale-free physics.
§ 11. Standard carriers.
§ 12. Mass-ratio of the proton and electron.
§ 13. The inversion of quantum energy.
§ 14. Rigid coordinates.
§ 15. Mutual and self energy.
Part III: Electrical Theory.
§ 16. Interchange of comparison particles.
§ 17. Electric energy.
§ 18. The β-factors.
§ 19. The fine structure constant.
§ 20. Comparison with observation.
Part IV: Gravitation, Exclusion and Interchange.
§ 21. Physical and geometrical momenta.
§ 22. The creation of proper mass.
§ 23. Determination of m0 and m.
§ 24. The constant of gravitation.
§ 25. Exclusion.
§ 26. The negative energy levels
§ 27. Interchange of external particles.
§ 28. Non-Coulombian energy.
(For the date, see Slater, p. 12. The titles of §§ 11 and 22 were altered respectively from ‘Initial and transition energy’ and ‘The origin of proper mass’.)
University of Cambridge Institute of Astronomy.—Describes the contents of a card folder marked ‘A’.
§ 113. Gauge transformations (molar theory).
§ 114. Action invariants.
§ 115. Gauge transformations (microscopic theory).
§ 116. Indices of wave tensors.
§ 117. Magnetic moments.
§ 118. Magnetic moment of the hydrogen atom.
§ 119. Magnetic moment of the neutron.
(There is no § 120.)
§ 1. The uncertainty of the origin.
§ 2. The Gaussian distribution.
§ 3. The Bernoulli fluctuation.
§ 4. The standard of length.
§ 5. Range of nuclear forces and the recession of the galaxies.
§ 6. Non-uniform curvature.
§ 7. Uranoids.
§ 8. The extraneous standard.
§ 9. Scale-free physics.
§ 10. Pseudo-discrete distributions.
§ 11. Stabilisation.
(Drafted Dec. 1942; revised Aug. 1943.)
§ 105. Field momentum.
§ 106. The gradient operator.
§ 107. Isostatic compensation.
§ 108. Wave equation of the hydrogen intracule.
§ 109. Solution of the wave equation.
§ 110. The interchange momentum.
§ 111. The two-frame transformation.
§ 112. Electromagnetic potentials.
(Place of writing not indicated.)
(Appended are notes on EDDN B3/2.)
§ 1. Relation between quantum theory and relativity theory.
§ 2. The standard of length.
§ 3. The two ways of representing energy.
§ 4. Representation of energy by curvature.
§ 5. Representation of energy by waves.
§ 6. Wave analysis of the uranoid.
§ 7. The specified particles.
§ 8. Determination of m/m0.
§ 9. Degeneracy pressure.
§ 10. The cosmical constants.
§ 11. The relation E/V=3P.
§ 12. The time-periodicity of wave functions.
§ 13. Nuclear physics.
(This appears to be the English original of a paper given by Eddington at Warsaw in 1938 and printed as ‘Applications cosmologiques de la théorie des quanta’ in Les nouvelles théories de la physique (Institut International de Coopération Intellectuelle, Paris, 1939).)
§ 93. The metastable states of hydrogen.
§ 94. Neutrium and deuterium.
§ 95. Mass of the neutron.
§ 96. Double intracules.
§ 97. Comparison with field theory.
§ 98. Mass of the deuterium atom.
§ 99. Mass of the helium atom.
§ 100. The separation constant of isobaric doublets.
§ 101. Isotopic spin.
§ 102. Radii of nuclei.
§ 103. The nuclear planoid.
§ 104. Mass of the mesotron.
Place of writing not indicated.
(Contains a reference to the printed version of ‘The Theoretical Values of the Physical Constants’, published in Nov. 1942. Cf. B3/19).
Dated at 48 George Square, Edinburgh.
§ 79. The EF-frame.
§ 80. Chirality of a double frame.
§ 81. The interchange operator.
§ 82. Duals.
§ 83. The CD-frame.
§ 84. Double-wave vectors.
§ 85. The 136-dimensional phase space.
§ 86. Uranoid and aether.
§ 87. The Riemann-Christoffel tensor.
§ 88. The de Sitter universe.
§ 89. The tensor identities.
§ 90. The contracted Riemann-Christoffel tensor.
§ 91. States and interstates.
§ 92. The recalcitrant terms.
§ 12. Object-fields.
§ 13. The rigid field convention.
§ 14. Separation of particle and field energy.
§ 15. Application to scale-free systems.
§ 16. Standard carriers.
§ 17. Mass-ratio of the proton and electron.
§ 18. The fine-structure constant.
§ 19. Rigid coordinates.
§ 20. Unsteady states.
§ 21. The inversion of energy.
(Drafted Dec. 1942; revised Aug. 1943.)
(Refers to a letter by Dirac published in Nature on 20 Feb.)
Transcript
R.M.S: Anselm
Tuesday, March 11 | 1919
My very dear Mother
We are now approaching Lisbon and expect to arrive soon after daylight tomorrow morning. The weather has been pretty good; it was warmest on Sunday, which was a beautiful sunny day, and one could sit out on deck chairs without an overcoat. Yesterday and today, there was more wind and occasional showers. It has not been very rough, but there was sufficient motion to make a good many of the passengers unhappy. Of our party, Crommelin & Cottingham succumbed for a time, but they both seem much better today.
We all arrived at Euston an hour-and a half before the train started; but it took a good while to deal with our bulky luggage. We were charged 30/– excess, but most of that was for the object-glasses which being labelled “glass” were charged at a higher rate. We got to Liverpool at 3∙45 and then difficulties began. The Hotels were full and there were scarcely any porters at the station. At last we found a porter of a baggage agency, and put all except our handbags in his charge to deliver to the Steamer. Then we set off in a taxi to hunt for a Hotel. After 3 or 4 attempts we got in at quite a comfortable commercial hotel. I think we were probably very lucky. It was a pouring wet night, so we did not go out.
The next day we got down to the dock about 10 a.m. Our luggage was promised for 10∙30 a.m.; but did not arrive. Soon after 11 we had to go on board, because the emigration officer was only there for a short time. He just looked at the passports and did not worry about anything else. We were not very anxious about the luggage because we soon found about a dozen other passengers were in the same plight as ourselves having entrusted their luggage to the same firm. Ultimately about 12∙30 it all turned up, and we went down to lunch, much relieved.
The Anselm is a very nice boat, and seems much roomier than I expected. I should think there are at least sixty first-class passengers on board. Our cabin is nicely placed, a good height above the water, and is very quiet. Davidson & Crommelin are next door. It seems curious to have done with rationing entirely—unlimited sugar, and large slices of meat, puddings with pre-war quantity of raisins & currants in them, new white rolls, and so on.
We left at about 2 p.m. and went slowly through a chain of docks to the Mersey. One of the Directors of the Booth Line was on board at the start and saw us for a few minutes. We saw the lights of Holyhead about 9 p.m. and stopped a few minutes to drop the pilot. Since then we have seen no land whatever, and have had only very vague ideas as to our position; there is still a war-regulation which forbids them letting us know where we are & what our course is.
Davidson & Crommelin had to sit at the Captain’s table, so our party was broken up. It is supposed to be a special favour to be asked to sit there; but as they are too far from the Captain to get to know him, it does not seem much good. There is one other passenger whom I knew through correspondence, Mr. Walkey an amateur astronomer. He is going out for the Bible Society to live on a house-boat on the Amazon travelling up and down the various tributaries. He expects to be out there most of his life.
I have had a few games of chess with Crommelin and also with a Frenchman, have read a bit, and passed the time very comfortably. I am quite glad to be having a long steamer trip again.
With very dear love from
your affectionate son
Stanley
—————
Numbered ‘1st’ at the head. Two passages have been marked off in pencil by a later hand.
Transcript
Victoria Park, Manchester
Novr 9. 1909
Dear Mr Eddington,
May I ask you—in confidence—whether you consider yourself definitely fixed to “Astronomy” or whether you would at all consider a return to Physics as possible.—I am not at liberty to go into details but the question arises whether in case a chair of Theoretical Physics were founded here or elsewhere and suitable conditions were offered you would be prepared to accept the chair.—Also in that case it might help matters if you wd let me know what conditions you would consider acceptable.
You may take it for granted that the duties wd leave you plenty of time for private work and that nothing wd prevent you continuing to prosecute the line of research on which you have entered with such success
I remain
Yours sincerely
Arthur Schuster.
§ 73. Fermi-Dirac particles.
§ 74. Multiple occupation symbols.
§ 75. Wave functions.
§ 76. The wave representation of phase.
§ 77. The cosmical number.
§ 78. Epistemological foundations.
§ 79. The primitive measurement.
Transcript
Grand Hôtel des Bergues, Genève
3. Jan 1898.
Dear Mrs. Eddington,
I sent you just one bit of my ideas abt. Stanley as soon as he left us. The rest must follow now.
His presence has been a great pleasure to us. You have got a boy mixed of most kindly elements, as perhaps Shakspeare might say {1}. His rapidly and clearly working mind has not in the least spoiled his character. I don’t know when I have had to do with so modest and gentlemanly a boy. It is a testimony to day schools and home training, (not, I am afraid, my favourite theory.)
His youth has, of course, been just a little against his making friends, but has not been fatal to it. In Clayton, & in Wood & Brown he has nice associates; but he seems more contented alone than most boys are.
His work is all that I expected, & more: & I feel altogether that he is “a precious youth” committed to my charge. I can realise to some extent what Margaret would feel like if she were left alone to bring up our own little Richard.
I remain
Your friend sincerely
John W. Graham
—————
The writing-paper is engraved with illustrations of the hotel, etc. The year is wrong, as Eddington did not enter Owen’s College till October 1898 (see his Notebook).
{1} Graham evidently had in mind Antony’s encomium on Brutus at the end of Julius Caesar: ‘His life was gentle, and the elements | So mix’d in him that Nature might stand up | And say to all the world “This was a man!”’
§ 96. The gauge transformation (molar application).
§ 97. Action invariants.
§ 98. The gauge transformation (microscopic application).
§ 99. Complementary electromagnetic fields.