# 論文摘要

## Gravitational Field Flux Mechanism for Baryonic Tully-Fisher Relation

### [ Oral ]

Te Chun Wang, Li-Chih High School

It has been found that objects in disk galaxies can show Non-Keplerian rotational behaviors including flat rotational curves and Baryonic Tully-Fisher relation below a critical acceleration of the order of 10^-10 m/s^2. In this report, a mechanism of modifying the Newtonian gravity in disk galaxies is proposed with a global gravitational field flux conservation and re-distribution picture by generalizing the non-relativistic Integral Gauss's law of gravity.
Firstly, 1/r dependence along with a disk thickness dependence of gravitational field and in turn the flat rotation curves are obtained by a Gaussian surface with cylindrical symmetry where most of the gravitational fluxes are distributed eventually along the radial direction of the disk plane. A Gaussian disk thickness as a variable is discussed with observational evidences. Subsequently, a spherical to cylindrical transition of the Gaussian surface symmetry, across a critical field, is shown to give directly the algebraic M∝v^4 Baryonic Tully-Fisher relation. This field flux distribution transition suggests that the galactic core bulge is corresponding to a region with Newtonian gravity while the outskirt areas can be of non-Newtonian gravity.
Finally, the structural-dynamical relations revealed by the radial acceleration relation from SPARC(Spitzer Photometry and Accurate Rotation Curves ) data are compared to the field flux re-distribution picture. The Newtonian dynamics above the critical field of ~10^-10 N/Kg near the core (bulge) region of High Surface Brightness Galaxies(HSBGs) can be explained by the spherical distribution of the gravitational flux. The transition from Newtonian to Non-Newtonian behavior across the critical field can be interpreted with the transition from sphere to disk symmetry for Gaussian surface of the flux distribution.
Possible extensions of the gravitational field flux redistribution mechanism to other galactic and larger scale structures are discussed.
Reference: AIP Conference Proceedings (Vol.2319, Issue APPC2019) of 14th Asia-Pacific Physics Conference:
https://aip.scitation.org/doi/pdf/10.1063/5.0037429