A Comparison of Whitehead's and Einstein's Formulæ


IN Whitehead's theory of gravitation, as in Einstein's, the tracks of particles in a gravitational field are determined by the condition that a certain integral taken along the track is stationary. The integrand is denoted by dJ in Whitehead's theory and ds in Einstein's. Light-tracks are further conditioned by dJ or ds, respectively, being zero. Since both theories are known to give the observed results for the perihelion of Mercury and the deflexion of light, dJ cannot be widely different from ds in the field of a single particle (the sun); but I do not think it has hitherto been noticed that dJ is exactly equal to ds.

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EDDINGTON, A. A Comparison of Whitehead's and Einstein's Formulæ. Nature 113, 192 (1924). https://doi.org/10.1038/113192a0

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