Structural Recurrence, Probability Collapse, and Regime Selection

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Main Author: Doumbouya, Lisa
Format: Recurso digital
Published: Zenodo 2025
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author Doumbouya, Lisa
author_facet Doumbouya, Lisa
contents <p dir="ltr">Physical systems often exhibit stable, repeatable regimes despite being described by equations that allow many possible trajectories. This tension is typically addressed using probabilistic language, with probability treated as a fundamental feature of evolution or as a reflection of stochastic dynamics. In this paper, we argue that probabilistic descriptions instead arise from structural underdetermination in the presence of recurrence and finite resolution. We introduce a coherence-first account in which repeated traversal of structurally admissible pathways reinforces regime stability, leading to effective regime selection without invoking randomness, agency, or additional dynamical mechanisms. Within this framework, probability collapse is not a physical event but a resolution of indistinguishability as recurrence deepens constraint. This perspective completes a structural notion of determinism: outcomes need not be fixed, but admissible regimes are finite, and repeated evolution naturally sharpens their dominance. The resulting picture reconciles deterministic dynamics with probabilistic description while preserving consistency with existing physical formalisms.</p> <p> </p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_17964952
institution Zenodo
language
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Structural Recurrence, Probability Collapse, and Regime Selection
Doumbouya, Lisa
structural recurrence
regime selection
probabllity collapse
structural determinism
coherence and constsraint
finite resolution
underdetermination
attractor reinforcement
coarse-graining
decoherence and emergence
persistence of physical regimes
<p dir="ltr">Physical systems often exhibit stable, repeatable regimes despite being described by equations that allow many possible trajectories. This tension is typically addressed using probabilistic language, with probability treated as a fundamental feature of evolution or as a reflection of stochastic dynamics. In this paper, we argue that probabilistic descriptions instead arise from structural underdetermination in the presence of recurrence and finite resolution. We introduce a coherence-first account in which repeated traversal of structurally admissible pathways reinforces regime stability, leading to effective regime selection without invoking randomness, agency, or additional dynamical mechanisms. Within this framework, probability collapse is not a physical event but a resolution of indistinguishability as recurrence deepens constraint. This perspective completes a structural notion of determinism: outcomes need not be fixed, but admissible regimes are finite, and repeated evolution naturally sharpens their dominance. The resulting picture reconciles deterministic dynamics with probabilistic description while preserving consistency with existing physical formalisms.</p> <p> </p>
title Structural Recurrence, Probability Collapse, and Regime Selection
topic structural recurrence
regime selection
probabllity collapse
structural determinism
coherence and constsraint
finite resolution
underdetermination
attractor reinforcement
coarse-graining
decoherence and emergence
persistence of physical regimes
url https://doi.org/10.5281/zenodo.17964952