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§ 1. The conditions of observability.
§ 2. The Gaussian distribution.
§ 3. Relative distribution functions.
§ 4. Relative wave functions.
§ 5. The weight function.
§ 6. Uranoids.
§ 7. Spherical space.
§ 8. The zero-temperature uranoid.
§ 9. Primitive observables.
§ 10[a]. V3 and V4 particles [incomplete].
§ 10[b]. V3 and V4 particles.

§ 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.

§ 3∙1. Idempotent vectors.
§ 3∙2. Spectral sets of particles.
§ 3∙3. The linear wave equation.
§ 3∙4. Matrix representation of E-numbers.
§ 3∙5. Wave vectors and tensors.
§ 3∙6[a]. Space tensors and strain tensors of the second rank.
§ 3∙7[a]. Angular momentum.
§ 3∙8. The differential wave equation.
§ 3∙6[b]. The differential wave equation.
§ 3∙7[b]. Angular momentum.

§ 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. The conditions of observability.
§ 2. Correlation.
§ 3. The importance of systematic description.
§ 4. The uncertainty of the origin.
§ 5. Application to wave functions.
§ 6. Three-dimensional distributions.
§ 7. Extension to four dimensions.
§ 8. Curvature of space.
§ 9. Standard masses of the particles.

§ 2∙1. Sub-normalisation.
—— Symbolic occupation factors.

(The second section is unnumbered.)

§ 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.

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’.)

Introduction.

§ 28. Non-Coulombian energy.

§§ 1–2. [Unfinished.]

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

(Marked by Slater: ‘Lectures as delivered orally.’ The date assigned to this document is the date the lectures were given.)

Dated at 48 George Square, Edinburgh.

Place of writing not indicated.

(Place of writing not indicated.)

(Appended are notes on EDDN B3/2.)

University of Cambridge Institute of Astronomy.—Describes the contents of a card folder marked ‘A’.

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

§ 1∙1. Wave functions.
§ 1∙2. The fundamental tensor.

(Marked by Slater ‘later than h [i.e. B3/8]’.)

§ 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.)

(Refers to a letter by Dirac published in Nature on 20 Feb.)

§ 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).)

Abstract.

§ 1. Introduction.
§ 2. The theoretical formulae.
§ 3. Comparison of theory and observation.
§ 4. Values of the constants.
§ 5. The problem of consistency.
§ 6. The β-coefficients.
§ 7. The constant e/mec.
§ 8. The constant h/e.

(This manuscript, which is marked as having been received by the Physical Society on 8 June, was evidently used as the copy for the text printed in the Society's Proceedings.)

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.)

(Contains a reference to the printed version of ‘The Theoretical Values of the Physical Constants’, published in Nov. 1942. Cf. B3/19).