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April 7, 20260 citationsOpen Access

Structural Asymmetry and Collapse

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HMHo Minh

Key Points

  • The aim is to explore structural asymmetry and its implications for system viability and longevity.
  • Introduced a formalized structural law regarding intrinsic costs and structured gains.
  • Developed a collapse theorem linking expected net change to system survival.
  • Analyzed the impact of structural drift on system viability.
  • Identified a default asymmetry where gains depend on structured input and costs are persistent.
  • Established that if expected net change is negative, the system will collapse with certainty.
  • Demonstrated that local optimization does not guarantee system sustainability.

Abstract

We introduce the notion of structural asymmetry in expectation in finite systems. First, we formalize a structural law: costs are intrinsic and persistent, while gains require structured input, inducing a default asymmetry. Second, we establish a collapse theorem: if the expected net change Φ = EΔV(t) < 0, the system collapses with probability one and finite expected lifetime. This framework clarifies that local optimization or positive expected returns do not ensure survival. Viability is governed by structural drift.

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Cite This Study

Ho Minh (2026) studied this question.

synapsesocial.com/papers/69d4a00eb33cc4c35a2286dehttps://doi.org/10.5281/zenodo.19429546
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Structural Asymmetry and Collapse2026
  2. 2Structural Asymmetry Principle in Finite Systems2026
  3. 3Structural Asymmetry in Finite Systems: Geometry-Induced Negative Drift2026
  4. 4La Profilée Collapse-Recovery Asymmetry: A Structural Law of Irreversible Time in Persistent Systems2026
  5. 5Structural Medicine v1.8: Asymmetric Structural Potential and Irreversible Collapse Dynamics in Disease Progression2026