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§ 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.

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

§ 19. Object-fields.
§ 20. The rigid-field convention.
§ 21. The rigid field in scale-free physics.
§ 22. Partition of the energy tensor.
§ 23. The inversion of energy.
§ 24. Rigid coordinates.
§ 25. Standard particles and vector particles.
§ 26. Transition particles.
§ 27. Protons and electrons.
§ 28. The mass m0.

(Formerly two chapters. The title was altered from ‘Fields and Particles’; ‘Chapter IV. Multiplicity Factors.’ has been struck through before § 25.)

§ 11. The Bernoulli fluctuation.
§ 12. The standard of length.
§ 13. Non-uniform curvature of space.
§ 14. The extraneous standard.
§ 15. Scale-free physics.
§ 16. Pseudo-discrete wave functions.
§ 17. Stabilised characteristics.
§ 18. Stabilisation of tensors.

The note accompanying these papers (B4/8) begins as follows: ‘This card folder contains a small number of loose and partly unidentified sheets that were separated from the otherwise orderly arrangement of the Eddington papers that had been in the hands of Professor N. B. Slater.’ There follows a brief description of the three letters (B4/5–7) and the sheets in Eddington’s hand (B4/1–9). Eddington’s manuscripts have been listed as nine items. The first (B4/1) forms a sequence of four sheets numbered from 36 to 39, formerly stapled together, as Dewhirst’s note records. The first sheet was marked by Slater in red biro: ‘(Attached to MS §a).’, apparently referring to B3/1, which comprises thirty-five sheets, though the character represented by the section-mark is indistinct. The next three items also appear to form distinct sequences, possibly all from the same doc-ument: B4/2, comprising six sheets numbered from 3 to 8; B4/3, two sheets, of which the second, unnumbered, clearly follows the first, which is numbered 10; and B4/4, comprising two sheets numbered 12 and 13. The remaining five sheets have been listed singly (B4/5–9). The first two of these contain similar tables on the back. The folder, which was simply marked with a ringed ‘A’, has been discarded.

§ 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.

§ 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.

§ 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.

§ 1∙1. The conditions of observability.
§ 1∙2. Measurables.
§ 1∙3. The fundamental tensor.
§ 1∙4. The comparison fluid.
§ 1∙5. Wave functions.
§ 1∙6. Density and mass.

(Earlier than B2/17. Contains two-number references.)

§ 1. The conditions of observability.
§ 2. Correlation.
§ 3. The uncertainty of the origin.

(Earlier than B2/17. Contains a reference to an article by H. C. Corben in the Proceedings of the Cambridge Philosophical Society, xxxv (1939), 203.)

§ 9∙1. The general energy vector.
§ 9∙2. Charge and spin.
§ 9∙3. Reality conditions.
§ 9∙4. Combined transformations.
§ 9∙5. Hermitic wave tensors.
§ 9∙6. Reality conditions for space-time coordinates.
§ 9∙1[a]. The general energy vector.

§ 1∙1. Wave functions.
§ 1∙2. The fundamental tensor.
§ 1∙3. The comparison fluid.

§ 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).)

Introduction.

§ 28. Non-Coulombian energy.

(A typed copy of B3/14, with alterations which appear in the printed version B5/1.)

ff. 1–9:
§ 1. Introduction.
§ 2. The theoretical formulae.
§ 3. Comparison of theory and observation.
§ 4. Alternative experimental methods.
§ 5. Values of the constants.

f. 10:
§ 5. The problem of consistency [beginning].

f. 11:
[§ 6. The β-coefficients [conclusion].]

ff. 12–21:
[§ 2. The theoretical formulae [conclusion].]
§ 3. Comparison of theory and observation
§ 4. Values of the constants.
§ 5. The problem of consistency.
§ 6. The β-coefficients.
§ 7. The spectroscopic e/mec.

ff. 22–5:
§ 6. The β-coefficients.
§ 7. The constant e/mec [beginning].

(This item comprises various superseded parts of B3/19. The sheets have been numbered in the order in which they were found, but it is possible that some jumbling has taken place. At least six different states of this paper may be distinguished, as follows:
(i) B3/18, ff. 1–9.
(ii) B3/19, ff. 1–6; B3/18, ff. 12–21
(iii) B3/19, ff. 1–12; B3/18, f. 10.
(iv) B3/19, ff. 1–15; B3/18, ff. 22–25;
(v) B3/19, ff. 1–16; B3/18, f. 11; B3/19, ff. 18–?.
(vi) B3/19, ff. 1–17, 17a, 18–23.)

§§ 1–2. [Unfinished.]

(See the general note on this file.)

Place of writing not indicated.

Slater has marked this paper ‘CRTQT’ in red ink, but in his book it is referred to by the letter ‘D’ (see p. 9).

University of Cambridge Institute of Astronomy.—Describes the contents of the second of two boxes of Eddington papers formerly in the possession of Noel B. Slater.