Recession of the Galaxies in Eddington's Theory

Physics

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THE first important formula in Eddington's ``Fundamental Theory'' (Cambridge, 1946) is (p. 6) where R0 is the radius of an Einstein universe, N the number of particles and σ the uncertainty constant of the physical origin. Einstein's formula for the total mass, considered as equivalent to ½N hydrogen atoms each of mass m, gives the independent relation (p. 10): From (1) and (2): and Eddington finds Lemaître's limiting speed of recession of the galaxies, V0 = c/(R0√3), to be 572 km./sec. per megaparsec. For this ``most accurate'' determination, he uses in (3) his formula for 1/σ as numerical multiple of the Rydberg constant. The `observed' recession-factor he estimated (1944) to be 560 km./sec. per megaparsec, in agreement with his result.

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