Characteristic actions h/2pi(s) in the structure of the universe - The angular momentum-mass relation of astronomical systems

Details Characteristic actions h/2pi(s) in the structure of the universe - The angular momentum-mass relation of astronomical systems Characteristic actions h/2pi(s) in the structure of the universe - The angular momentum-mass relation of astronomical systems

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.116..215l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 116, no. 2, Nov. 1985, p. 215-224.

Astronomy and Astrophysics

Astrophysics

7

Angular Momentum, Astronomical Models, Cosmology, Gravitational Constant, Mass Distribution, Universe, Asteroids, Galactic Structure, Hubble Constant, Light Speed, Plancks Constant, Scale (Ratio), Star Distribution

Scientific paper

It is suggested that gravitationally bound systems in the Universe can be characterized by a set of actions hbar(s). The actions derived from general theoretical consideration, are only determined by the fundamental physical constants (Planck's action hbar, the velocity of light C, gravitational constant G, and Hubble's constant H0) and a scale parameter s. s = 1,2, and 3 correspond, respectively, to the scales of galaxies, stars, and larger asteroids. The spectra of the characteristic angular momenta and masses for gravitationally bound systems in the Universe are estimated by J(s) = hbar(s) and M (s) = (hbar(s)Cα/G)1/2. Taken together, an angular momentum-mass relation is obtained, J(s) = A(M(s))2, where A = G/Cα, α≅1/137, for the astronomical systems observed on every scale. This J-M relation is consistent with Brosche's empirical relation (Brosche, 1974).

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