The Rigidity-Inertia Principle in Physics

This paper proposes the rigidity-inertia principle, a fundamental physical law derived purely from standard dimensional analysis without extra assumptions. It proves that the characteristic velocity of physical systems is uniquely determined by generalized stiffness and inertial density. The principle holds consistent mathematical forms in 0-dimensional to higher-dimensional spaces. It is verified across classical mechanics, electromagnetism, relativity and quantum mechanics, including the speed of light and quantum systems. This work reveals the universal structural invariance of physical laws, and provides a unified theoretical framework for high-dimensional physics, quantum condensed matter and continuum mechanics. Further experimental exploration and academic discussion are still needed.