Falsifying Singularities: Emergent Regularization in Maximally Adversarial Physical Regimes

Singularities—regions of unbounded curvature, energy density, or information loss—are commonly predicted by classical and semi-classical models under extreme physical conditions. Whether such singularities represent physically realizable states or artifacts of restrictive modeling assumptions remains an open question. In this work, we present a deliberately adversarial, falsification-driven numerical experiment designed to force singular behavior by simultaneously relaxing representational, causal, geometric, and informational constraints. Across a large ensemble of independently perturbed realizations spanning sub-Planckian to trans-dimensional effective regimes, no instance of unbounded divergence or irreversible breakdown was observed. Instead, all realizations dynamically reorganized into bounded, information-regulated regimes characterized by stable global metrics, vanishing topology variance, and recurrent attractor formation—even when representational structure was allowed to fail. These results demonstrate that singular behavior is not structurally inevitable, even under conditions engineered to maximize instability, and suggest that many singularities encountered in theoretical models may correspond to representational breakdown rather than unavoidable physical states. The findings motivate further investigation into emergent regularization mechanisms beyond classical representational frameworks.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-01-05
DOI
https://doi.org/10.5281/zenodo.18151556
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
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article

Falsifying Singularities: Emergent Regularization in Maximally Adversarial Physical Regimes

Lumenis IO PTY LTD
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
article

Falsifying Singularities: Emergent Regularization in Maximally Adversarial Physical Regimes

Lumenis IO PTY LTD
article en

Abstract

Singularities—regions of unbounded curvature, energy density, or information loss—are commonly predicted by classical and semi-classical models under extreme physical conditions. Whether such singularities represent physically realizable states or artifacts of restrictive modeling assumptions remains an open question. In this work, we present a deliberately adversarial, falsification-driven numerical experiment designed to force singular behavior by simultaneously relaxing representational, causal, geometric, and informational constraints. Across a large ensemble of independently perturbed realizations spanning sub-Planckian to trans-dimensional effective regimes, no instance of unbounded divergence or irreversible breakdown was observed. Instead, all realizations dynamically reorganized into bounded, information-regulated regimes characterized by stable global metrics, vanishing topology variance, and recurrent attractor formation—even when representational structure was allowed to fail. These results demonstrate that singular behavior is not structurally inevitable, even under conditions engineered to maximize instability, and suggest that many singularities encountered in theoretical models may correspond to representational breakdown rather than unavoidable physical states. The findings motivate further investigation into emergent regularization mechanisms beyond classical representational frameworks.

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Thermodynamics and Statistical Mechanics
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Falsifying Singularities: Emergent Regularization in Maximally Adversarial Physical Regimes — Lumenis IO PTY LTD · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS