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April 8, 20260 citationsOpen Access

ΔΦ REGENERATION LAW v1.0 Field-Guided Structural Recovery as a Consequence of Persistent Attractor Topology

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TMThomas S. Mitchell

Key Points

  • The study aims to validate the ΔΦ Regeneration Law by establishing a mechanism for structural recovery post-disruption.
  • Introduced the ΔΦ Regeneration Law for medium-specific recovery mechanisms.
  • Conducted simulations on aligned and random systems to assess recovery capabilities post-perturbation.
  • Analyzed the effects of local gradient imbalances and directed flux on structural regeneration.
  • Aligned systems showed marked recovery after perturbations, confirming the regeneration law.
  • Random systems failed to exhibit recovery, underscoring the significance of structure and alignment.
  • The findings provide a unifying explanation for regeneration phenomena across multiple domains.

Abstract

This paper introduces the ΔΦ Regeneration Law, demonstrating that structural recovery arises from persistent attractor topology rather than stored templates. Building on prior work in ΔΦ-driven emergence, formation, and stability, the study shows that disruptions create local gradient imbalances that drive directed flux, restoring original structure. Simulations confirm that aligned systems regenerate after perturbation, while random systems fail to recover. The results provide a physical basis for regeneration, healing, and error correction across biological, computational, and physical systems.

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Cite This Study

Thomas S. Mitchell (2026) studied this question.

synapsesocial.com/papers/69d5f0ee74eaea4b11a7a69fhttps://doi.org/10.5281/zenodo.19445934
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