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§ 61. The EF-frame.
§ 62. [Title missing.]
§ 63. The dual frame.
§ 64. Double phase space.
§ 65. The two strain tensors.
§ 66. The Riemann-Christoffel tensor.

§ 4∙1. Double frames.
§ 4∙2. Interchange.
§ 4∙3. The dual frame.
§ 4∙4. Double phase space.
§ 4∙5[a]. The relation between mass and density.
§ 4∙6. [Untitled.]
§ 4∙5[b]. [Untitled.]

§ 1∙9 [continued].
Part of an unidentified chapter.
§ 1∙9. Individual and statistical particles.
§ 1∙8. Electric charge.
Rough calculations.

§ 87. Angular momentum.
§ 88. The gradient operator.
§ 89. Wave equation of the hydrogen intracule.
§ 90. Solution of the wave equation.
§ 91. The Coulomb energy.
§ 92. Fixed-scale units.

§ 5∙1. Electric charge.
§ 5∙2. The electrical stabilisation.
§ 5∙3. The time coordinate.
§ 5∙4. Quadratic and linear energy.
§ 5∙5. The Coulomb energy.
§ 5∙6. Pairing.
§ 5∙7[a]. [Untitled.]
§ 5∙7[b]. The electromagnetic potential.

§ 73. Angular momentum.
§ 74[a]. The metastable states of hydrogen.
§ 75[a]. The symbolic frame in relative space.
§ 76. Reality conditions in relative space.
§ 75[b]. The symbolic frame in relative space.
§ 74[b]. The differential wave equation.

§ 1∙1. The conditions of observability.
§ 1∙2[a]. The Gaussian distribution.
§ 1∙3. Systems of description.
§ 1∙4. Relative distribution functions.
§ 1∙5. Application to wave functions.
§ 1∙6[a]. Uranoids.
§ 1∙7. Curvature of space.
§ 1∙8. Proper mass.
§ 1∙9[a]. Object-fields.
§ 1∙9[b]. Four-dimensional theory.
§ 1∙6[b]. Uranoids.
§ 1∙2[b]. The centroid as physical origin.

(The chapter title was altered from ‘The Uncertainty of the Reference Frame’. § 1∙9[b] is marked ‘rewrite under the heading “Stabilising relations”’.)

§ 2∙1. Particles with spin.
§ 2∙2. Relativity rotations.
§ 2∙3. Neutral space-time.
§ 2∙4. Strain vectors.
§ 2∙5[a]. Reality conditions.
§ 2∙5[b]. Flat space-time.
§ 2∙6. Determinants and eigenvalues.
§ 2∙7. Phase space.
§ 2∙8. Probability distribution of strain vectors.

(§§ 2∙1 and 2∙2 were renumbered from 1∙1 and 1∙2 and, as a result, §§ 2∙3, 2∙4, and 2∙5[a] were renumbered from 2∙2, 2∙3, and 2∙4 respectively; but the necessary alterations to the numbering were carried no further. The title of § 2∙8 was altered from ‘Probability distribution of phase space’.)

§ 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.

(i) Chapter IX: The Molar Electromagnetic Field.
Gauge transformations.

(ii) Chapter IX: The Molar Electromagnetic Field.
Affine field theory.

§ 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.)

§ 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.)

§ 96. The gauge transformation (molar application).
§ 97. Action invariants.
§ 98. The gauge transformation (microscopic application).
§ 99. Complementary electromagnetic fields.

These manuscripts are all in Eddington’s own hand, with the exception of the ringed pencil number on the first page of each and the foliation (in red biro, except B2/20), which were added by Slater, the former in June 1945, the latter about the end of 1947. Other notes by Slater indicate that there is a sheet missing from B2/22 between ff. 4 and 5, and that B2/29 f. 14 is a modification of f. 4.

§ 66. Idempotency.
§ 67. Standard form of idempotent vectors.
§ 68. Spectral sets.
§ 69. Catalogue of symbolic coefficients.
§ 70. The wave identities.
§ 71. Matrix representation of E-numbers.
§ 72. Factorisation of E-numbers.
§ 73. Wave tensors of the second rank.
§ 74. Wave tensors of the fourth rank.
§ 75. Phase space.
§ 76. Relative space.
§ 77. Vectors in micro space.
§ 78. The quantum-classical analogy.

§ 53. The symbolic frame.
§ 54. Miscellaneous properties of E-symbols.
§ 55. Equivalence and chirality.
§ 56. Rotations.
§ 57. Five-dimensional theory.
§ 58. Ineffective relativity transformations.
§ 59. Strain vectors.
§ 60. Real and imaginary E-symbols.
§ 61. Reality conditions.
§ 62. Distinction between space and time.
§ 63. Neutral space-time.
§ 64. Congruent spaces.
§ 65. Determinants and eigenvalues.

§ 46. Uranoid and planoid.
§ 47. Interchange of extracules.
§ 48. The special planoid.
§ 49. The energy of two protons.
§ 50. Non-Coulombian energy.
§ 51. The constant of gravitation.
§ 52. Molar and nuclear constants.

§ 34. Unsteady states.
§ 35. Under-observation.
§ 36. Structural and predictive theory.
§ 37. Physical and geometrical distribution functions.
§ 38. The weight function.
§ 39. The genesis of proper mass.
§ 40. Absolute determination of m0.
§ 41. Exclusion.
§ 42. The negative energy levels.
§ 43. Determination of m0 by exclusion theory.
§ 44. Super-dense matter.
§ 45. The degeneracy pressure.

§ 24. The phase dimension.
§ 25. Interchange of suffixes.
§ 26. The two-particle transformation.
§ 27. Hydrocules.
§ 28. Separation of electrical energy.
§ 29. Current masses of the proton and electron.
§ 30. Molarly controlled charge.
§ 31. Secondary anchors.
§ 32. Calculated values of the microscopic constants.
§ 33. The Coulomb energy.

§ 12. Complementary fields.
§ 13. The rigid-field convention.
§ 14. Separation of field and particle energy.
§ 15. Application of scale-free systems.
§ 16. The ‘top particle’.
§ 17. Standard carriers.
§ 18. Mass-ratio of the proton and electron.
§ 19. Rigid coordinates.
§ 20. The fine-structure constant.
§ 21. The inversion of energy.
§ 22. Mutual and self energy.
§ 23. Comparison particles.

§ 1. The uncertainty of the origin.
§ 2. The physical origin.
§ 3. The Bernoulli fluctuation.
§ 4. The standard of length.
§ 5. Range of nuclear forces and the recession of the galaxies.
§ 6. Spherical space.
§ 7. Uranoids.
§ 8. The extraneous standard.
§ 9. Scale-free physics.
§ 10. Pseudo-discrete states.
§ 11. Stabilisation.

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.

§ 121. Radiation by a moving electron.
§ 122. Transition probabilities.
§ 123. Compton scattering.
§ 124. Transverse self energy of a particle.

§ 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.)

§ 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.

§ 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.

§ 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.