Unified Theory of the Four Fundamental Interactions Under the Exponential-Power Symmetry Framework

Based on the exponential-power interchange symmetric structureas the core mathematical foundation, this paper constructs the unimodal functionas a unified descriptive carrier, realizes the physical mapping between dimensionless running coupling constants and energy scales, seamlessly embeds the complete dynamic derivation of coupling running, and establishes a unified renormalization group (RG) equation and symmetric invariant governing the four fundamental interactions. Breaking through the traditional framework of discrete coupling evolution, the theory realizes the dynamic unification of electromagnetic force, weak interaction, strong interaction and gravitation only through intrinsic mathematical symmetry without relying on additional physical assumptions. It completely characterizes the full-scale evolution law of low-energy symmetry breaking, unification of the three forces at the GUT scale, and ultimate unification of the four forces at the Planck scale, providing a minimalist and self-consistent symmetric mathematical system for the study of grand unified theories and quantum gravity.