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.

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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
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article

Existence Equilibrium: A Universal Mass-Lifetime Scaling Law Derived from Rotational 11-Dimensional Fractal Geometry

Kaushik Sarkar
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Existence Equilibrium: A Universal Mass-Lifetime Scaling Law Derived from Rotational 11-Dimensional Fractal Geometry

Kaushik Sarkar
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Independent University, Bangladesh (BD)
Peace, Justice and strong institutions
Openalex Percentile: Top 30%
Advanced Mathematical Theories and Applications
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