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July 10, 2026Open Access

Spin-1/2: An Internal Rotational Degree of Freedom in Proper Time

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Authors

HYHou Yau

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Overview

Geometric framework elucidates intrinsic spin evolution in particles, highlighting theoretical implications.

Key Points

  • This research aims to provide a geometric interpretation of intrinsic spin, relating it to a particle's proper-time evolution.
  • Introduced an internal phase variable parametrizing a compact manifold along the particle's worldline.
  • Derived the rest-frame wavefunction as $ ext{ψ(φ)}=Ae^{-iφ/2}$ within the proposed framework.
  • Developed connections to standard Dirac formalism and relativistic quantum mechanics.
  • Demonstrated two-state structure and spinorial $4 ext{π}$ periodicity for spin-$ frac{1}{2}$ particles.
  • Equated internal clock evolution to twice the de Broglie mass-energy frequency.
  • Maintained consistency with existing structures in quantum field theory.

Cite This Study

Hou Yau (2026) studied this question.

synapsesocial.com/papers/6a508e5b6eeac72a437a1518https://doi.org/10.5281/zenodo.21251342
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