2003/03/28 by Howard G. Preston, Preston, Howard G., Franklin Potter +1 · 1 voice
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Particle physics theoretical and experimental studies #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0303112
16 pages
arxiv created 2003/03/28 · openalex publication_date 2003/03/28 · arxiv published 2003/03/28 · arxiv updated 2003/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explore a theory of large-scale gravitational quantization, using the general relativistic Hamilton-Jacobi equation to create quantization conditions via a new scalar wave equation dependent upon the total mass and the total vector angular momentum only. Instead of h-bar, a local invariant quantity proportional to the total angular momentum dictates the quantization conditions. In the Schwarzschild metric the theory predicts eigenstates with quantized energy per mass and angular momentum per mass. We find excellent agreement to the orbital spacings of the satellites of the Jovian planets and to the planet spacings in the Solar System. For galaxies we derive the baryonic Tully-Fisher relation and the MOND acceleration, so galaxy velocity curves are explained without requiring 'dark matter'. For the universe, we derive a new Hubble relation that accounts for the accelerated expansion with a matter density at about 5% of the critical matter/energy density, with the remainder being large-scale quantization zero-point energy. A possible laboratory test is proposed.