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March 16, 20260 citationsOpen Access

The Big G Formula: A Geometric Scale of Gravity and Entropy

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FMFrank F. (Arcman) Meng

Key Points

  • This work aims to redefine gravity through a geometric approach, challenging conventional views on its fundamental nature.
  • Developed the Big G Formula based on a geometric vacuum manifold.
  • Examined the relationship between gravitational tension and topological properties.
  • Applied rigorous mathematical expansions and derivations to support the theory.
  • Proposed gravity as an entropic evaluation of temporal degrees of freedom.
  • Showed that the gravitational constant is a geometric scaling factor.
  • Demonstrated a fundamental independence of gravity from physical mass.

Abstract

Abstract: In standard physics, gravity is conventionally conceptualized as spacetime curvature parameterized by empirical mass. In this Letter, we demonstrate that gravitational tension is not a fundamental interaction, but a macroscopic topological residual arising from a pure geometric T (1, 2) vacuum manifold. Governed by the Law of Spontaneous Doubling, the underlying manifold exhibits a strict 2⁴: (2⁴-1) dynamic asymmetry between its conjugate temporal and spatial axes. We introduce the Big G Formula, redefining gravity strictly as the logarithmic (entropic) evaluation of overlapping temporal degrees of freedom. Normalized by the inverse base quantum rigidity, the formula reveals that the gravitational constant is fundamentally an intrinsic geometric scaling factor required to maintain topological consistency. This dimensionless framework establishes gravity as an absolute geometric veto mechanism against temporal divergence, completely independent of physical mass. The manuscript features a rigorous mathematical expansion of the topological action, including the asymmetric geometric metric tensor and explicit Euler-Lagrange derivations, alongside a quantitative alignment with CODATA empirical values.

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Cite This Study

Frank F. (Arcman) Meng (2026) studied this question.

synapsesocial.com/papers/69b79ea18166e15b153ac457https://doi.org/10.5281/zenodo.19016752
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