A Cross-Scale Self-Consistent Modified Physical Model Based on the Fixed Topological Correction Constant Δ=0.0280952

Abstract Classical gravitational theory and quantum gauge field theory exhibit theoretical discontinuities when describing physical phenomena across different scales. High-precision experiments within the Standard Model reveal minor inherent residuals, and there lacks a unified field-theoretic interpretation for large-scale gravitational effects and the cosmic vacuum acceleration mechanism. This paper introduces a fixed dimensionless topological correction constant \Delta=0.0280952. As a high-order correction constant of spacetime geometry, this parameter does not run with energy scales or spatial scales, is excluded from the renormalization evolution of quantum field theory, and preserves the original coupling laws of the four fundamental interactions. The scope of applicability for physics near the Earth’s surface is clearly defined. It is demonstrated that the natural attenuation of electromagnetic fields within this region constitutes a high-order infinitesimal term, which can be reasonably neglected under conventional experimental precision, enabling high-precision calculations utilizing this fixed constant. Systematic comparison of perturbative structures from order 0 to order 6 in field theory confirms that the effective coupling of the model is dominated by fourth-order topological tensor corrections, supplemented by second-order curvature corrections; structures of other orders produce no observable physical effects. The constant is incorporated into frameworks of macroscopic gravitation, electromagnetic interaction, weak-electromagnetic interaction and quantum chromodynamics for verification. The corrected results fall within the allowable error ranges of existing experiments and are capable of compensating minor theoretical residuals of the Standard Model. Furthermore, without introducing self-consistency conflicts, the model provides an extended interpretation for large-scale gravitational surplus effects in galaxies and cosmic vacuum potential effects. Rather than revising the fundamental framework of existing physics, the model achieves self-consistency of physical results across multiple scales merely via a single fixed topological correction, and can serve as a supplementary research model for unified field theory. Keywords: unified field correction; topological constant; cross-scale self-consistency; high-order perturbation; renormalization compatibility; cosmological correction 摘要 现有经典引力理论与量子规范场论在描述跨尺度物理现象时存在体系割裂,标准模型高精度实验存在小幅固有残差,宇宙大尺度引力效应与真空加速机制缺少统一场论解释。 本文引入固定无量纲拓扑修正常数 Δ=0.0280952。该参数为时空几何高阶修正常量,不随能量标度与空间尺度跑动,不参与量子场论重整化演化,不改变四大基本相互作用原有耦合规律。 本文明确界定地球近地物理区域的适用边界,论证该空间内电磁场自然衰减效应为高阶小量,在常规实验精度范围内可合理忽略,可采用固定常数完成高精度计算。 通过对场论0至6阶微扰结构的系统性比对,确定本模型的有效耦合以四阶拓扑张量修正为主、二阶曲率修正为辅,其余阶数结构不具备可观测物理效应。 将该常数代入宏观引力、电磁作用、弱电作用、量子色动力学体系进行验算,修正结果均处于现有实验误差允许区间,可补偿标准模型小幅理论残差。同时,本模型可在不自洽冲突的前提下,对星系大尺度引力冗余效应与宇宙真空势能效应提供拓展性解释。 本模型不修改现有基础物理框架,仅通过单一固定拓扑修正实现多尺度物理结果自洽,可作为统一场论的补充性研究模型。 关键词:统一场修正;拓扑常数;跨尺度自洽;高阶微扰;重整化兼容;宇宙学修正 https://zenodo.org/records/20838582 0–6阶全域高阶摄动统一常数推导与多尺度天体观测验证 https://zenodo.org/records/20839977 基于0–6阶全域真空耦合常数α=0.0280952的多尺度物理统一与定量自洽推演 https://zenodo.org/records/20993130 基于0–6阶全域真空耦合常数的真空相干衰减效应:本星系群35个矮星系cusp-core疑难的全域统一验证