V5-杨-米尔斯理论质量间隙的偏元数学视角——一项从减法不可清零公理出发的多路径初步论证 (V5-A Partial-Deviation Mathematical Perspective on the Yang-Mills Mass Gap: A Multi-Path Preliminary Argument from the Axiom of Subtraction Non-Closure)

中文摘要:本文尝试从偏元数学的减法不可清零公理出发,对四维杨-米尔斯理论的质量间隙存在性提出一项多路径联合论证。论证过程以四条独立路径展开:(1) 将减法不可清零公理直接翻译至场的能量最低态求解,推导出质量间隙与宇宙本底残余量级 ε ≈ 10⁻⁶⁰ 的对应关系;(2) 在经典数学框架内定位公认卡点,揭示其共享的隐含假设——收敛操作可以精确归零——并尝试从偏元框架对该假设的放宽提供新的解释路径;(3) 借鉴格点QCD现有公开模拟数据,构建反证逻辑以交叉验证相同结论;(4) 在格点数据反证路径中,展示若质量间隙为零则现有实验与模拟之间的矛盾。所有核心结论均附带明确可证伪条件。本文为纯理论推导,尚未获得独立实验验证。—老陈与AI的深夜实验室 发布 请笑纳。 英文摘要: This paper attempts to present a multi-path joint argument for the existence of the mass gap in four-dimensional Yang-Mills theory, starting from the axiom of subtraction non-closure in Partial-Deviation Mathematics. The argument proceeds along four independent paths: (1) directly translating the subtraction non-closure axiom to the solving of the field's lowest energy state, deriving the correspondence between the mass gap and the cosmic residual magnitude ε ≈ 10⁻⁶⁰; (2) locating the recognized impasses within the classical mathematical framework, revealing their shared implicit assumption—that convergence operations can return precisely to zero—and attempting to provide a new explanatory path by relaxing this assumption within the Partial-Deviation framework; (3) constructing a counterfactual logic using existing publicly available lattice QCD simulation data to cross-verify the same conclusion; (4) within the lattice data counterfactual path, demonstrating the contradiction between existing experiments and simulations if the mass gap were zero. All core conclusions are accompanied by explicit falsifiable conditions. This paper is a purely theoretical derivation and has not yet received independent experimental verification. — Published by Lao Chen & AI's Late Night Lab. Please accept with a smile.