What is "1" (何謂「一」): The Intrinsic Gauge Duality, Scale-Balance Axiom (u - 1/u = 1), and the Physical Geometry of "Yi"

Note: The foundational text "何謂「一」" is intentionally preserved in its original Traditional Chinese script without translation to establish the primary ontological definition of "Yi" (易) for the global scientific community. --- FOUNDATIONAL TEXT ---何謂「一」瑜哥 易易易易易易易易易易易易易易易易生界 界生陰陽 陰陽相生易之易 反易也易為陰 反易為陽易為陽 反易為陰陰陽相生 吸斥相生 界為一陰陽相生 大小相生 界為一------------------------- --- ENGLISH PHYSICAL SUMMARY ---This paper presents a foundational paradigm shift in theoretical physics, resolving the longstanding divergence and singularity crises in General Relativity and Quantum Field Theory. By formalizing the Eastern ontological principle of "Yi" (易, dynamic dual transformation) into rigorous gauge geometry, we establish the Physical Measure Axiom: 1. Dynamic Dual Force Gauge ("吸斥相生,界為一"): The physical acceleration field is governed by the dual attraction-repulsion equation: a = r^(-2) - r^2 Where r = 1 ("界為一") defines the exact zero-force phase transition interface, eliminating black hole singularities and infinite gravitational collapse at r -> 0. 2. Scale Duality & Unit Gauge Lock ("大小相生,界為一"): Macro-state (u) and micro-state (u^-1) are mutually contextual. Observer intervention establishes the rigid unit scale interface 1: u - u^(-1) = 1 (or 1/x - x = -1) This pins the maximum dual mapping ratio at the intrinsic canonical eigenroot phi = (1 + sqrt(5)) / 2 approx 1.618. 3. Resolution of Infinite Divergence: The rigid gauge interface 1 blocks the arithmetical path of micro-fractions going to zero in denominator positions (1/x -> infinity). Consequently, the 10^120 vacuum zero-point energy explosion, the speed-of-light infinite mass wall, and quantum self-energy infinities are mathematically eliminated without requiring artificial renormalization or cut-offs. The electron is identified as the minimal physical particle representing the boundary of unit gauge 1.