Existence Equilibrium: A Fundamental Scaling Law Derived from Rotational 11D Fractal Geometry

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Authors: Kaushik Sarkar
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Particle physics theoretical and experimental studies Advanced Mathematical Theories and Applications Relativity and Gravitational Theory

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
7 March 2026
Language
EN