Authors: Lucian M. Ionescu
At quantum level, relativistic time emerges from quantum phase. The Kahler structure in Gauge Theory is adequate for implementing an "Einstein-Feynman relativistic proper time", replacing the Space-Time paradigm for classical/quantum relativistic Physics. A preliminary investigation of how to relate Hodge structure as a model for periods of vibration (energy spectrum), in relation to the above interpretation of the quantum phase, will be provided in terms of algebraic integrals called periods. The Algebraic-Geometry model proposed for the implementation is that of Belyi pairs with associated dessins d’enfant, interpreted as Einstein-Feynman Graphs (to include the idea of proper time via quantum phase). An overarching goal is to relate "Classical" and "Quantum Physics" via Hilbertization, Hodgeification and Wilsonization, to be technically explained in an upcoming article, expanding this presentation.
Comments: 26 Pages. Invited presentation at the XVI International Workshop on Lie Theory and Applications to Physics, Varna, Bulgaria, June 16-22, 2025.
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[v1] 2025-06-24 21:34:17
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