Te-Chun Wang (Li-Chih High School)
A modified Newtonian gravity has been proposed for disk galaxies. Firstly, A gravitational field flux conservation and redistribution picture is constructed by generalizing the Integral Gauss's law of gravity at non-relativistic limit. 1/r radius dependence and a galactic thickness dependence of gravitational field and the flat rotation curves are obtained by a Gaussian surface with cylindrical symmetry, where most of the gravitational fluxes are assumed to be distributed asymptotically along the disk plane. Subsequently, a spherical to cylindrical transition of the Gaussian surface symmetry across a critical flux density is shown to give the algebraic M ∝ v^4 baryonic Tully-Fisher relation. The transition implies that the 10^-10 m/s^2 acceleration scale can be alternatively interpreted as a critical field strength where gravitational flux redistribution occurs. The universal structural-dynamical relations such as revealed by the radial acceleration curve from Spitzer Photometry and Accurate Rotation Curves (SPARC) data are mapped to the field flux distribution geometry. The Newtonian dynamics above the critical field of ~10^-10 N/Kg near the bulge of High Surface Brightness Galaxies (HSBGs) can be explained by the spherical distribution of the gravitational flux while the Non-Newtonian behaviors of both the Low Surface Brightness Galaxies and the outskirts of the HSBGs can be attributed to the cylindrical flux distribution below the critical field. Finally, a few questions and answers are discussed including: 1. May the Faber-Jackson relation at the core region of elliptical galaxies be attributed to some similar transition from a "Newtonian core" to the non-Newtonian surrounding baryons across the critical field? 2. Can the spiral patterns of disk galaxies find their natural roots from the one-dimensional flux lines of gravitational field? 3. Can the disk shape redistribution of the gravitational field flux be corresponding to a disk of curved space-time for gravitational lensing modeling? Reference: 14th Asia-Pacific Physics Conference proceedings(2019, to appear), A.1b, "Generalized Integral Gauss's Law of Gravity Formulating Conservation and Redistribution of Gravitational Flux to Interpret Structural-Dynamical Relations of Disk Galaxies"