What does this research mean for the field?

There exists a fundamental relationship between the existence budget (K) and rest mass (M) of fundamental particles, expressed as K = cR b7 M^{-5.6}. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to establish a universal scaling law for particle longevity based on fundamental particle properties.

March 8, 2026Open Access

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

Key Points

The aim is to establish a universal scaling law for particle longevity based on fundamental particle properties.
Derivation of K = R · M^-5.6 using 11-dimensional topological stability and fractal corrections
Analysis of correlation among bosons and fermions, including the Higgs Boson
Prediction of absolute neutrino mass
Introduced the RATNA Scaling Law demonstrating a high-precision correlation (R^2 = 0.992)
Found that existence budget K is inversely related to the fifth power of rest mass M
Predicted neutrino mass at 0.0087 eV

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 = R 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 (R² = 0. 992) across fundamental bosons and fermions, including the Higgs Boson, and predicts the absolute neutrino mass at 0. 0087 eV.

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

Key Points

Abstract

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