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§ 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’.)

§ 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.]

[Summary of Chapter IV.]

Chapter IV: Exclusion and Interchange.
§29. The phase coordinate.
§30. Mutual and self energy.
§31. Elision of comparison particles.
§32. Exclusion.
§33. The negative energy levels.
§35. The factor 3/5.
§36[a]. Interaction of V10 particles.
§38. Interchange.
§37[a]. The Newtonian potential.
§37[b]. The Newtonian potential.
§36[b]. The Newtonian potential.

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

(The second section is unnumbered.)

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.)

(See the general note on this file.)

(See the general note on this file.)

(See the general note on this file.)

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’.)

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

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

Introduction.

§ 28. Non-Coulombian energy.

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

§ 22. Mutual and self energy.
§ 23. Comparison particles.
§ 24. The phase coordinate.
§ 25. Interchange.
§ 26. Hydrocules.
§ 27. The β-factors.
§ 28. The observational system.
§ 29. Calculated values of the microscopic constants.
§ 30. The two-particle transformation.

(Drafted Dec. 1942; revised Aug. 1943.)

§ 31. Time.
§ 32. The weight function.
§ 33. The genesis of proper mass.
§ 34. Determination of m0.
§ 35. Exclusion.
§ 36. The negative energy levels.
§ 37. The planoid.
§ 38. Interchange of extracules.
§ 39. Non-Coulombian energy.
§ 40. Calculated values of the molar and nuclear constants.

§ 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.)

§ 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.)

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

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

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

§ 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.

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

§ 41. The symbolic frame.
§ 42. Miscellaneous properties of the E-symbols.
§ 43. Equivalence and chirality.
§ 44. Rotations.
§ 45. Real frames.
§ 46. Distinction between space and time.
§ 47. Neutral space-time.
§ 48. Strain vectors.
§ 49. Determinants and eigenvalues.
§ 50. Idempotency.
§ 51. Standard form of idempotent vectors.
§ 52. Spectral sets of particles.
§ 53. Dictionary of symbolic coefficients.