Quantum Celestial Mechanics: Large-scale Gravitational Quantization States in Galaxies and the Universe

Physics

Scientific paper

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Celestial Mechanics, Kinematics, Dynamics, And Rotation, Observational Cosmology

Scientific paper

We report a new theory of celestial mechanics for gravitationally bound systems based upon a gravitational wave equation derived from the general relativistic Hamilton-Jacobi equation. The single ad hoc assumption is that the large-scale physical properties depend only on the ratio of the bound system's total angular momentum to its total mass. The theory predicts quantization states for the Solar System and for galaxies. The galactic quantization determines the energy and angular momentum eigenstates without requiring dark matter, and predicts expressions for the galactic disk rotation velocity, the baryonic Tully-Fisher relation, the MOND acceleration parameter, the large-angle gravitational lensing, and the shape, stability and number of arms in spiral galaxies. Applied to the universe, the theory has a repulsive effective gravitational potential that predicts a new Hubble relation and explains the observed apparent acceleration of distant supernovae with the matter/energy density of the universe at the critical density with only about 5% matter content. We suggest a laboratory experiment with a torsion bar near a rotating mass. This theory is not quantum gravity.

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