Astrophysics

   

Redefining the Gravitational Singularity: Resolving the Geometric Breakdown via a Finite Planck-Scale Density Bound

Authors: Farel Aditya Amin

We consider an alternative approach to the gravitational singularity problem by treatingthe core of a black hole as a saturated state with a finite density bound. In classical GeneralRelativity, the metric diverges at r = 0, leading to infinite density and a breakdown of thefield equations. In this paper, we replace this divergence by introducing a maximum densitylimit locked to the invariant Planck density (ρmax). By matching an internal de Sittergeometry to an external Schwarzschild metric, we find that the collapsed core stabilizes as afinite object. Evaluating this matching condition across primordial, stellar, and galactic massscales indicates that the core volume scales dynamically (V ̸= 0) to maintain the densityplateau. This geometric mechanism offers a direct way to connect macroscopic gravity withdiscrete quantum limits.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2026-08-23 00:35:05

Unique-IP document downloads: 0 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus