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April 7, 2026Open Access

Zero Point Spiral: A General Dynamical Framework for Preservation-update Asynchrony

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Authors

SKSana Kamiki

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Overview

This framework reveals state transitions in various domains, indicating a common underlying structure for change.

Key Points

  • The aim is to introduce the Zero Point Spiral as a framework to understand asynchronous preservation and updates in dynamical systems.
  • Developed a discrete dynamical system based on the axiom of asynchrony in preservation and update.
  • Derived an update coefficient that accounts for explosive amplification and deceleration in state changes.
  • Analyzed self-amplifying updates and convergence behaviors near critical points.
  • Examined structural self-similarity across multiple domains including cosmological and biological systems.
  • Demonstrated that state transitions are driven by the phase difference between current and historical states.
  • Identified mechanisms underlying explosive updates and gradual stabilization in the system.
  • Found that the framework exhibits structural self-similarity across various domains, suggesting a unified dynamical skeleton.

Cite This Study

Sana Kamiki (2026) studied this question.

synapsesocial.com/papers/69d49f44b33cc4c35a227c88https://doi.org/10.5281/zenodo.19427480
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