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May 31, 2026Open Access

Kinematic Coherence, Hopf Topology, and the Compton Scale

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Authors

PZPing ZhangHunan University of Science and Technology

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Implication

Research investigates kinematic coherence in phase configurations, suggesting a link to the Compton length.

Key Points

  • The study aims to relate kinematic coherence and Hopf topology to the Compton length through geometric frameworks.
  • Examined the coherence scale and phase-response coefficient within a geometric framework.
  • Analyzed coexistence of Hopf-type topology and causal admissibility.
  • Developed a Madelung-type realization to establish the relationship with the Compton length.
  • Identified a closure scale r* = D/v, which aligns with the Compton length r* = ℏ/mc.
  • Demonstrated that phase-response coefficient D can be expressed as ℏ/m for mass m.
  • Showed that the coherence boundary can geometrically interpret the Compton scale.

Cite This Study

Ping Zhang (2026) studied this question.

synapsesocial.com/papers/6a1bd1b05783ba022b6fd22bhttps://doi.org/10.5281/zenodo.20437596
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