Mathematical Physics

    

Principium Geometricum II: How the Minimum Space Tension Reveals the Gravastar-Like Black Hole

Authors: Pedro A. Kubitschek Homem de Carvalho

We present the Principium Geometricum, a new unified theoretical framework that emerges from three classical pillars—Newton's Second Law, Gauss's Law, and Einstein's Equations. We propose a fundamental vector field Uμ, whose divergence defines geometric mass and whose temporal oscillation modulates the spacetime metric. We introduce the unifying constant αU = keℓ2 P , of dimension force × area, which allows us to recover the four fundamental interactions in a single formalism. From a Lagrangian constructed for the field Uμ, we derive the energy-momentum tensor Tμν , derive its quantization, calculate the vacuum energy and propose mixed interactions with the electromagnetic field. The results point to a profound reshaping of the structure of spacetime as a field of pulsating areas, paving the way for the geometric unification of classical, relativistic and quantum physics.

Comments: 41 Pages. In Portuguese

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Submission history

[v1] 2025-07-02 23:41:40

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