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March 21, 2026Open Access

The Liminal Operator and Its Synergy with Cyclic and Reversal Dynamics: A Unified Framework for Stability at the Ultimate Bound

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Authors

DYDurhan Yazir

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Overview

This framework demonstrates threshold-triggered stabilization in quantum systems, suggesting new approaches to physical limits.

Key Points

  • The aim is to introduce a self-regulating mechanism using mathematical operators to stabilize systems near their ultimate limits.
  • Developed a unified framework using the Liminal, Cyclic, and Reverser Operators.
  • Embedded the operator triad into a Lindblad master equation for quantum applications.
  • Applied theoretical concepts to iconic physical boundaries like Planck density and holographic entropy.
  • Achieved a confined steady state in a model harmonic oscillator with bounded energy.
  • Demonstrated continuous projection of systems back into their allowed subspace even with external driving effects.
  • Provided a mathematically rigorous approach for potential applications in quantum error correction and quantum gravity.

Cite This Study

Durhan Yazir (2026) studied this question.

synapsesocial.com/papers/69be38906e48c4981c679095https://doi.org/10.5281/zenodo.19099428
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