Gyeol–Wave–Rhythm Theory: Resolving the Contradictions of Relativity and Quantum Mechanics

Modern physics faces an unresolved contradiction between relativity and quantum mechanics. Special relativity, built on the invariance of the speed of light, successfully describes the continuous structure of spacetime in inertial frames, yet cannot account for gravity or accelerated systems. General relativity extends this framework by interpreting gravity as spacetime curvature and has achieved remarkable empirical success, but it breaks down at singularities such as black holes. Quantum mechanics, on the other hand, provides accurate predictions of microscopic phenomena but introduces indeterminacy, observer dependence, and the absence of intrinsic reality. This paper introduces the Gyeol–Wave–Rhythm (GWR) Theory as a new topological paradigm that reinterprets black-hole singularities as rhythmic condensation and quantum uncertainty as rhythmic phase shift, resolving the contradiction between relativity and quantum mechanics.