Discussions on A Generalized Gauss's Law of Gravity to model the galactic dynamics and structure

The transition from Newtonian to Non-Newtonian behavior near the core edge of disk galaxies has been interpreted with the transition away from spherical symmetry of the Gaussian equi-potential surface across a universal critical field strength of the order of 10^-10 N/Kg (or m/s^2) for the gravitational field flux line re-distribution. The spherical to cylindrical transition of the Gaussian equipotential surface symmetry, across a critical field, is shown to result in the algebraic M ∝ v^4 Baryonic Tully-Fisher relation as well as the flat rotation curve for disk galaxies. Such a scenario of Newtonian to Non-Newtonian transition with a critical field strength may also be applied to elliptical galaxies with the similar Faber-Jackson relation of core velocity dispersion. Such an integral generalized Gauss’s law approach may provide a non-relativistic limit of the Newtonian gravity with an integral form of Gauss’s law of gravity.

Existence of the temporal field flux re-distribution transition and the induced intrinsic instability embedded in the disk-to-sphere structural evolution of various astronomical scales, including stellar and galactical systems is also discussed.



Reference (1): AIP Conference Proceedings (Vol.2319, Issue APPC2019) of 14th Asia-Pacific Physics Conference: https://aip.scitation.org/doi/pdf/10.1063/5.0037429