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§ 51. Idempotency.
§ 52. Standard form of idempotent vectors.
§ 53. Spectral sets.
§ 54. Table of symbolic coefficients.
§ 55. The wave identities.
§ 56. Matrix representation of E-numbers.
§ 57. Factorisation of E-numbers.
§ 58. Wave tensors.
§ 59. Phase space.
§ 60. Space tensors of the second rank.
§ 61. The quantum-classical analogy.
§ 62[a]. Space tensors of the second rank.
§ 62[b]. The symbolic frame in relative space.
§ 63. Reality conditions in relative space.

(Drafted Mar. 1943, revised Dec. 1943. The chapter number has been altered in pencil to ‘VII’.)

§ 64. The EF-frame.
§ 65. Chirality of a double frame.
§ 66. The interchange operator.
§ 67. Duals.
§ 68. The CD-frame.
§ 69. Double vectors.
§ 70. Double phase space.
§ 71. Uranoid and aether.
§ 72. The Riemann-Christoffel tensor.
§ 73. The tensor identities.
§ 74. The contracted Riemann-Christoffel tensor.
§ 75. Interstates.
§ 76. Antisymmetrical wave functions.

(The chapter number has been altered in pencil to ‘VIII’.)

§ 77. The metastable states of hydrogen.
§ 78. Deuterium and neutron.
§ 79. Mass of the neutron.
§ 80. Atomic mass of deuterium.
§ 81. Simple and double intracules.
§ 82. Atomic mass of helium.
§ 83. The separation constant of isobaric doublets.
§ 84. Nuclear spin.
§ 85. Mass of the mesotron.

§ 76[a]. Angular momentum.
§ 74[a]. Polar coordinates.
§ 74[b]. The differential wave equation.
§ 75. The symbolic frame in relative space.
§ 76[b]. Reality conditions in relative space.
§ 77[a]. Relation of quantal and scale-free physics.
§ 77[b]. Relation of quantal and scale-free physics.
§ 78. The metastable states of hydrogen.
§ 79. Particle and wave properties.
§ 80. The internal wave equation.

(§ 76[a] was renumbered from 73, but the equations were not renumbered accordingly.)

§ 87. Angular momentum.
§ 88. The gradient operator.
§ 89. Wave equation of the hydrogen intracule.
§ 90. Solution of the wave equation.
§ 91. The Coulomb energy.
§ 92. Fixed-scale units.

§ 96. The gauge transformation (molar application).
§ 97. Action invariants.
§ 98. The gauge transformation (microscopic application).
§ 99. Complementary electromagnetic fields.

§ 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’.)

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.