Universality Under Selection: Why Widely Separated Physical Systems Share the Same Statistics

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Authors: Kevin Shepheard
Cited by: 0

Abstract

Empirically, systems spanning many orders of magnitude in scale—earthquakes, neuronal avalanches, financial crashes, sonoluminescence flashes, fast radio bursts, and black hole accretion events—exhibit remarkably similar statistical signatures: heavy-tailed event energies, non-Poissonian waiting times, burst intermittency, and scale-invariant structure. This paper shows that such universality does not arise from shared microphysics, but from shared selection geometry. Within the Universal Selection Operator (USO) framework, I demonstrate that these statistics are invariants of the loss operator K, not of the Hamiltonian dynamics. Universality classes are therefore defined by the geometry of survival, not by forces, fields, or constituents.

Fields of Study & Subjects

Statistical Mechanics and Entropy Theoretical and Computational Physics Complex Systems and Time Series Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
31 January 2026
Document type
Preprint