These papers are all in Eddington’s own hand. None is explicitly dated.
§ 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.
§ 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.
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.
§ 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.
Chapter VI: Wave Vectors.
§ 54. The linear wave equations.
§ 55. Matrix representation of E-numbers.
§ 56. Factorisation of E-numbers.
§ 57. Wave vectors and tensors.
§ 58. Space tensors of the second rank.
§ 59. Angular momentum.
§ 60. Symbolic coefficients in ξ-space.
§ 61. The differential wave equation.
§ 62. The eigen-scale.
§ 63. Perturbation theory [title only].
Chapter VII: The Hydrogen Atom and the Neutron.
§ 63. Symmetric degeneracy.
§ 2∙1. Sub-normalisation.
—— Symbolic occupation factors.
(The second section is unnumbered.)
(Refers to a letter by Dirac published in Nature on 20 Feb.)
(Contains a reference to the printed version of ‘The Theoretical Values of the Physical Constants’, published in Nov. 1942. Cf. B3/19).
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.)
(The accompanying list of attendees (C2/1b) is subscribed ‘Lemaître [one of the attendees] 1924’, which may indicate the year in which the lectures were given.)
(Folios 13–15, which are wanting, may have been discarded intentionally; see the note on f. 12.)
(The latest publication referred to in this paper is from 1923.)
Transcript
Observatory, Cambridge
21 May 1936
Dr W. M. Smart’s application for the Chair of Regius Professor of Astronomy in the University of Glasgow has my warmest support. He is a man of established reputation in astronomical circles who would fill the office with distinction; and he has proved himself very successful as a lecturer and teacher. He would be much missed from this Observatory and from the University; but promotion to a professorial chair would be a fitting recognition of his work.
Dr Smart has been Chief Assistant in the Observatory and John Couch Adams Astronomer since 1921. There is only one other Assistant. The policy of the Observatory has been to avoid routine undertakings and to develop new methods. Two main lines of work have been developed during his tenure—an improved method of determining photographic proper motions of stars, and measurement of stellar magnitudes with a photo-electric cell. As regards the former it may, I think, be claimed that the Cambridge results set a new standard of accuracy for large series of proper motions. Photo-electric work is still confined to two or three observatories (Cambridge being the only British one). After a long struggle with pioneer difficulties the work is now proceeding with great success, and astonishing accuracy is obtained. A large share of the credit for these results is due to Dr Smart.
On the theoretical side his earlier work was in celestial mechanics. But in connection with the practical work above-mentioned his more recent interests have {1} been mainly in proper motions and other branches of stellar statistics, to which he is one of the most active contributors. He is a member of the Commission of the International Astronomical Union on Stellar Parallaxes and Proper Motions.
His teaching work covers elementary lectures on astronomy, advanced lectures on celestial mechanics and on stellar motions and a practical class at the observatory. Judging from the response of the students he is a stimulating lecturer. He normally supervises one or two research students.
An important part of his experience is his work as Secretary of the Royal Astronomical Society during the last five years. This brings him into touch with astronomers in all parts of the world, so that he is in full contact with all modern developments. It is perhaps not irrelevant to mention that he is Treasurer of the Royal Astronomical Society Dining Club—an office (of which the duties are by no means confined to the care of money) which is a tribute to his popularity with his colleagues.
To sum up:—He has shown himself able to make the most of the resources of a small observatory; he is well-known and esteemed internationally; he is successful with students; and is well used to administrative activity.
—————
The various cancelled words and passages in this letter have not been recorded, except for the mistaken deletion noted below.
{1} Struck through by mistake.
University of Chicago, Yerkes Observatory, Wisconsin.—Summarises some recent work on the convection zone in stellar atmospheres.
(Trinity College, Cambridge.)—Comments on Chandrasekhar’s summary of work on convection (A5/4), and relates an amusing incident connected with the recent visit of the Duchess of Kent.