Characteristic actions ħ(s) in the structure of the universe

Details Characteristic actions ħ(s) in the structure of the universe Characteristic actions ħ(s) in the structure of the universe

Nov 1985

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

Astrophysics and Space Science, Volume 116, Issue 2, pp.215-224

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

It is suggested that gravitationally bound systems in the Universe can be characterized by a set of actions ħ(s). The actions hbar ^{( s )} = ( {{hbar {/ {hbar {1/{2π }{C^5 }/{GH_0^2 }}}}. 1/{2π }{C^5 }/{GH_0^2 }}}} )^{s/6} ( {1/{2π }{C^5 }/{GH_0^2 }} ) ,derived from general theoretical consideration, are only determined by the fundamental physical constants (Planck's action ħ, the velocity of lightC, gravitational constantG, and Hubble's constantH 0) and a scale parameters. It is shown thats=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 byJ (s) and M (s) =(ħ (s) Cα/G)1/2. Taken together, an angular momentum-mass relation is obtained,J (s)=A(M(s))2, whereA = G/Cα ,{{ }}α ˜eq tfrac{{{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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