Converged Gravitational Field Flux Lines in Disk Galaxies: An Alternative View of Mass Discrepancy Problem from Generalizing Gauss's Law of Gravity

Starting from a generalized Gauss's law of Gravity, a 1/r field dependence causing flat rotation curve of disk galaxies are shown by a Gaussian surface with cylindrical symmetry where the gravitational flux distribution is converged along the radial direction of the disk plane. A spherical to cylindrical transition of the Gaussian surface symmetry across a critical field ~10^-10 N/Kg is shown to give the exact M~V⁴ Tully-Fisher relation, as presented in astrophysics session of this conference.

In this report, some gravitational field flux related practical questions is discussed, including:

1. Can 1/r field be proved to be equivalent to F=ma²/a₀ of MOND theory below the critical field at galactic scale?

2. Can the Faber-Jackson relation of elliptical galaxies be modeled by the flux line converging sinario?

3. Can the average kinetic energy <T>=<V>/2, which has been derived from Virial theorem of 1/r² field, be enhanced by the 1/r field or converged gravitational flux lines to meet the highly non-Newtonian dynamics in galaxy clusters?

4. Can the role of M mass points be replaced by 4πGM gravitational flux lines in cosmic scale to match the gravitational lensing observed distribution of dark matter?