Cosmological and Atomic Constants


IN view of some recent contributions1 it may be considered not altogether useless to point out a few more relations (or 'coincidences') between some fundamental magnitudes that occur in astrophysical theory and very large dimensionless numbers that can be constructed from atomic constants and the constant of universal gravitation G. If γ1 and γ2 represent the large numbers constructed from (e, c, mH, G) and (h, c, mH, G) respectively, then where h is Planck's constant (multiplied by 1/2π), c the velocity of light, e the electron charge, mH the mass of the proton, and m the mass of the electron.

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  1. 1

    Dirac, Proc. Roy. Soc., A, 165, 199 (1938); Chandrasekhar, NATURE, 139, 757 (1937); Schrödinger, NATURE, 141, 410 (1938).

  2. 2

    Kothari, Proc. Roy. Soc., A, 165, 486 (1938).

  3. 3

    Chandrasekhar, Mon. Not. Roy. Astro. Soc., 91, 456 (1931).

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KOTHARI, D. Cosmological and Atomic Constants. Nature 142, 354–355 (1938).

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