Published

Shortly after Eddington’s death Edmund T. (later Sir Edmund) Whittaker was invited by Winifred Eddington and the Syndics of the Cambridge University Press to supervise the publication of the monograph on which Eddington had been working when he fell ill. This work was published in 1946 as *Fundamental Theory*, a title chosen by Whittaker, the printer’s copy being Eddington’s latest draft (**B1/3–14**) with a few minor alterations by the editor, supplemented by a title page and a list of contents (**B1/1–2**). This draft, which Eddington had purposely separated from the rest of his papers shortly before his death, contains complete versions of chapters I to XI and four sections of chapter XII, and ends with the writer’s summary of his plan for the rest of the book, namely four more sections of chapter XII, and chapters XIII and XIV. An editorial note at this point records that Noel B. Slater and G. L. Clark went through Eddington’s papers in the hope of finding first drafts of the missing chapters, but that the search was unsuccessful. A similar search was made by W. M. Smart, also in vain (see **B4/10**). However, early drafts of other chapters did survive, together with various related papers, and in 1956 Slater brought out a detailed study of these under the title *The Development and Meaning of Eddington’s ‘Fundamental Theory’*, which included a compilation of some of the manuscripts. Notes on the provenance of the manuscripts appear in section 2∙2 of the book (pp. 10–11). Slater first inspected Eddington’s papers during a visit to Cambridge one evening in June 1945—a visit presumably made with the principal aim of discovering the missing part of the monograph—and he recalled being shown by Miss Eddington two piles of papers, some of which she had found that day:

‘First, there was a large pile of *loose sheets*, each partly written, ending abruptly any-where from near the top to near the bottom of the page. Dr G. L. Clark went through these in some detail, after the publication of *Fundamental Theory*, and found nothing he considered noteworthy. These sheets are not extant.

‘Secondly, there was an equal pile of manuscripts, headed and clipped in chapters. I had time during my visit merely to list the titles and to number the chapters *1, 2, 3,* … downwards from the top. These were obviously versions of the manuscript which Sir Edmund Whittaker was then preparing for publication as *Fundamental Theory*.’

At the end of 1947, Slater says, he received from Miss Eddington ‘most of these early manuscripts’, and it is probably the receipt of these, delivered by a Dr Daniels, which he acknowledges in an undated draft letter (**B4/11**), adding that:

‘These MSS that Dr Daniels brought are all clipped together in bundles representing each a draft chapter of the book or the Dublin paper. I saw these when I visited you two evenings ago: but there was also then a large collection of loose sheets, representing draft pages of the book: these loose sheets are recognisable by the fact that many are only half or ¾s written. I regard these sheets as being the most promising place to begin the search for the missing parts of the book. If you still have them, and are willing to lend them to me, I should be grateful if you will let me know: I shall try to arrange for their transport. It is possible that some one else (for example Mr. Clark) has been through these,—it would be a very heavy task, however.’

The manuscripts which Slater received were probably substantially those he had previously numbered, though, as we shall see, the chapter numbered *11* was clearly absent, as it was not received till 1954, and others may also have been missing. Slater made a preliminary examination of the papers, noting that his numbering had ‘generally’ survived (the significance of the qualification is unclear, unless it merely refers to the fact that some of the numbered chapters were missing), and then classified them in the apparent order of their composition, distinguishing five partial drafts of the book, to which he assigned the letters A, B, C, G and H. (F he assigned to *Fundamental Theory* as printed, and D to the printed paper *The Combination of Relativity Theory and Quantum Theory* (see below); E was not used.) A tabular description of the several drafts appears in his book (p. 14). Numbers 12, 20 and 23 are excluded from the table, which may indicate that they were not in Slater’s possession. Number *11* was added at the foot of the table as the single ‘unclassed’ item. The surviving chapters of Slater’s numbered sequence are **B2/1–10**, **13–22**, **24–35**. Note that numbers *11*, *12* and *23* are now missing from the sequence but number *20* is present.

In September 1954, following Miss Eddington’s death, A. Vibert Douglas and F. J. M. Stratton found among her papers manuscripts similar to those which Slater had al-ready received, and sent them to him. These papers, which Slater describes as ‘mainly … fragmentary early chapters of *Fundamental Theory* or complete versions of other publica-tions’, included the chapter numbered 11 (now wanting, as has been noted) and the chapter to which Slater assigned the letter ‘a’ (**B3/1**). The remaining papers were presumably the rest of the ‘alphabetical’ series (**B3/2–22**), the papers in ‘Folder A’ (**B4**) (except Dewhirst’s note), and the printed paper *The Combination of Relativity Theory and Quantum Theory* (B5/1).

All these papers appear to have come to Trinity from the Cambridge Institute of Astronomy in 1982, but it is not known when the Institute acquired them. Two notes, or labels, by D. W. Dewhirst of the Institute are still with the papers (**B4/13**, **B5/2**). The first relates only to the contents of a folder; the second runs as follows:

‘Eddington papers relating to “Fundamental Theory”: second (of the two) boxes of papers formerly in the possession of Professor N. B. Slater. See introduction, etc. to Slater’s book on Eddington’s *Fundamental Theory*. Most of the papers are in Eddington’s hand or are typescripts corrected by him.

‘There were a few loose sheets in this box and I have put them together in a folder lettered “A”. Otherwise the papers are lettered in red by Slater according to his scheme and are in the order as left by Slater.’

Published

Edited by Noel B. Slater in *The Development and Meaning of Eddington’s ‘Fundamental Theory’ * (1956).

Published

Published

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 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 *m*0.

§ 41. Exclusion.

§ 42. The negative energy levels.

§ 43. Determination of *m*0 by exclusion theory.

§ 44. Super-dense matter.

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 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.

Published

§ 121. Radiation by a moving electron.§ 122. Transition probabilities.

§ 123. Compton scattering.

Published

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.