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April 12, 2026Open Access

The Compton–de Broglie Tension and a Minimal Lorentz–Hopf Bridge

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Authors

PZPing Zhang

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Implication

This work connects relativistic electron structures through a geometric framework, suggesting significant implications for particle physics.

Key Points

  • To establish a geometric framework that connects various structures related to relativistic electrons, including Compton and de Broglie phenomena.
  • Developed a geometric model incorporating internal periodicity at Compton scale.
  • Used cylindrical kinematics to relate de Broglie wavelength with geometric phase.
  • Extended the model to include Hopf-fibration structure for spinorial representation.
  • Demonstrated structural correspondence between Lorentz transformations and phase periodicity.
  • Highlighted the role of Hopf-type topology in understanding relativistic electron behaviors.
  • Noted connections to recent solutions of the Dirac equation with Hopfion-like structures.

Cite This Study

Ping Zhang (2026) studied this question.

synapsesocial.com/papers/69db37964fe01fead37c5904https://doi.org/10.5281/zenodo.19490872
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