Existence Equilibrium: A Universal Mass-Lifetime Scaling Law Derived from Rotational 11-Dimensional Fractal Geometry
The Standard Model describes particle decay through interaction-specific Lagrangians, yet a universal scaling law for particle longevity remains elusive. Here we report a fundamental relationship between the existence budget (K) and rest mass (M) of fundamental particles: K = \mathcal{R} \cdot M^{-5.6}. This 5.6 exponent is analytically derived from 11-dimensional topological stability (5.5) with a rotational fractal correction (0.1) for non-ideal spherical geometries. Our model, known as the RATNA Scaling Law, demonstrates a high-precision correlation (R^2 = 0.992) across fundamental bosons and fermions, including the Higgs Boson, and predicts the absolute neutrino mass at 0.0087 eV.
Authors
- Kaushik Sarkar
Institutions
- Independent University, Bangladesh (BD)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-03-07
- DOI
- https://doi.org/10.5281/zenodo.18901060
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00