Appendix: Researchers in relativity I. Criticism and modification of Einstein’s latest manifold

This is the first of a series of investigations concerning which details will be given at the end of the paper.
In 'Nature" of September 1923 p. 448 (The Theory of the Affine Field) Ein5tein describes a remarkable mathematical discovery. He develops from Eddington's previous work a perfectly satisfactory basis for the Riemann manifold required for mechanics and gravitation in the general theory of Relativity. His main object, however, was to include provision also for the electro-magnetic field, but it would appear that his conclusions on this part of the development are irreconcilable with observation. If he had examined in detail the mechanical stresses, which he could have done by the conditions imposed by the fact that the action is an invariant density, he would have found that his constant y cannot be "practically in -definitely small" as he states it should be for an- other reason. The truth of this remark will appear in the subsequent work.
It is, hovever, easy to modify the principle from which he works by increasing the 40 scalers from which he starts to 31.