Authors: Satoshi Hanamura
Bridging quantum mechanics and general relativity remains one of the fundamental challenges in modern physics. While these theories have been extensively validated in their respective domains, their reconciliation at microscopic scales continues to be a subject of intense study. This work establishes a direct algebraic connection between the anomalous magnetic moments of leptons and their Zitterbewegung velocities, unifying quantum mechanical phenomena with both special and general relativistic principles. Our initial special relativistic calculations predicted electron Zitterbewegung velocities of 0.040472c. However, by incorporating general relativistic effects through geodetic precession and utilizing the calculated muon critical radius of 3.431E-25 meters, we refined this prediction to 0.040374c. We further determine critical radii of 5.71E-24 meters for tau leptons, where their Zitterbewegung motion becomes unsustainable. This result naturally explains both the tau-to-muon and muon-to-electron decay processes while reinforcing the stability of electron motion. By analyzing the interplay of Lorentz contraction and geodetic precession, we propose a hypothesis for a mass-dependent transition point between classical and quantum gravitational regimes, implying that general relativistic corrections may play a role in influencing quantum mechanical phenomena at microscopic scales.
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[v1] 2025-01-24 21:44:03
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