A Regular Black-Hole Model within the Planck Gravity Theoretical System: A Saturated GP-Cell Core and a Two-Horizon Structure
Year: 2026
Type: preprint
Abstract: This paper develops an effective regular black-hole model within the Planck Gravity (PG) Theoretical System (foundational work: DOI 10.5281/zenodo.22995823). Replacing the central point singularity of the classical Schwarzschild solution with a finite-density interior described by a smooth fifth-degree polynomial effective mass profile, the model recovers the exact Schwarzschild exterior while maintaining finite geometric and lattice quantities at the origin. Key Analytical & Theoretical Results:1. Two-Horizon Structure: The resulting metric function yields two exact horizon radii—an inner horizon at r_inner = r_s/2 and an outer horizon at r_outer = r_s—separated by an intermediate trapped region (r_s/2 < r < r_s) where the auxiliary function S(r) becomes negative.2. GP-Cell Regularity & Radial Organization: By introducing a saturated state-density parameter and a radial organization function q_r(x) = 2x - x^2, the model achieves full analytical closure. At the center (r = 0), the apparent GP-cell length recovers the fundamental Planck length (l_app(0) = l_p) with vanishing first-order radial variation, eliminating central cell collapse.3. Lattice Stresses & Energy Conditions: Reconstructed as an anisotropic effective source, the central stress configuration is isotropic and negative, satisfying the weak energy condition (WEC) throughout the interior while violating the strong energy condition (SEC) in the core region (0 <= x < 1/2). Within an auxiliary effective-metric dictionary check, the Ricci scalar, quadratic Ricci invariant, and Kretschmann scalar are all strictly finite at the origin.4. Exclusion of Self-Generated GP-Cell Interactions: The PG physical interpretation identifies the central core with a saturated condensate of Component X, governed by the foundational PG principle that Component X interacts exclusively with GP cells generated by external matter sources, never with GP cells generated by itself. The paper clearly delineates established analytical results from open microscopic research problems, including the dynamical stability of the inner horizon, the particle identity of Component X, and the PG-native scaling law in the negative-S intermediate region.
Author: Ho, Trung Tu
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225818809
Cites:
Cited by:
Related to: