刚性惯性原理(KIL)物理体系·跨领域233公式机器验证归约研究报告 / Rigidity-Inertia Principle (KIL) Physical System: Cross-Domain 233 Formula Machine-Verified Reduction Research Report

This dataset contains the full research report on the Rigidity-Inertia Principle (KIL) physical system, presenting a cross-domain machine-verified reduction analysis of 233 core physics formulas across 14 domains. Key Findings 76.0% (177/233) of physics formulas can be directly or via physical substitution reduced to the constitutive form v² = K/I under the KIL dimensional system Remaining 24.0% (56/233) are KIL dimensionally self-consistent identities without propagation physical structure Class D irreducible = 0: no core physics formula shows dimensional contradiction Cross-dimensional invariance proof: [K_d]/[I_d] = L²T⁻² = v², spatial dimension d algebraically cancels 19 mathematical forms show clear division: A/B classes carry physical structure, C class carries pure mathematical structure Domains Covered (14) Wave Mechanics (100%), Condensed Matter (95%), Quantum Mechanics (91%), Fluid Mechanics (85%), Plasma MHD (85%), Relativistic Cosmology (85%), Geophysics (80%), Biophysics (80%), Electromagnetism (79%), Classical Mechanics (75%), Standard Model Field Theory (58%), Topological Field Theory (50%), Thermodynamics & Statistics (37%), Optics (25%) Methodology All 233 formulas verified by SymPy machine verification (KIL exponent vector strict matching). The dataset includes both Chinese and English versions of the full report with mathematical formulas rendered via MathJax. Appendices Appendix §4: Meta-level relationship of two types of "form invariance" — KIL cross-dimensional invariance vs mainstream covariance/gauge/scaling invariance Appendix §5: Fractal as inevitable emergence of constitutive relation + scale invariance, with fractal dimension formula D_f = c - (a-b)/2