Ervin Goldfain. Standard Model Parameters from Large Deviation Theory (rev. 1)
Natural Sciences / Physics / Particle physics
Submitted on: Jun 08, 2026, 06:19:45
Description: The Standard Model of Particle Physics (SM) contains a large number of empirical parameters whose origin remains unexplained. Among these, fermion masses, mixing angles, CP-violating phases, and the existence of three fermion generations are independent inputs rather than consequences of a deeper organizing principle. This work explores the hypothesis that these parameters emerge from large deviation properties of the multifractal attractor describing the endpoint of the entropy flow. In this first part, we motivate the relevance of Large Deviation Theory (LDT) to fundamental physics and introduce the necessary mathematical background. We emphasize the role of convex rate functions, their minima, and their overlap structure, illustrating how discrete, stable saddles emerge dynamically. Representative examples are provided to guide physical intuition and prepare the ground for subsequent application to SM parameters.