A Conjecture of Matter:Geometric Relaxation as a Bridge Between General Relativity and Quantum Mechanics

This paper presents an extension of the gravitational barrier and geometric relaxation framework, demonstrating how it provides a conceptual and mathematical bridge between general relativity and quantum mechanics. The framework does not unify these two theories in the traditional sense, but rather situates both within a common evolutionary boundary condition. General relativity is reinterpreted as the continuous description of geometric strain on macroscopic scales, while quantum mechanics is reinterpreted as the discrete manifestation of the same strain on microscopic scales. Both theories share the same underlying driver—the monotonic decay of geometric strain \epsilon(t) toward zero—and both lose their physical foundation when \epsilon(t) \to 0 . Four explicit falsifiability conditions are provided, specifying the observational circumstances under which this bridging framework would be invalidated. This paper does not propose a quantum theory of gravity, but offers a framework in which the two established theories can be understood as complementary descriptions of the same process at different scales. (Note on AI-Assisted Computation Certain mathematical derivations and physical calculations in this paper were performed by an AI tool (large language model) based on the theoretical framework and postulate system provided by the author. Specifically, the AI tool contributed to: formula derivation, equation solving, integral evaluation, series summation, and recalculation verification of established quantum mechanical results. All physical insights, core assumptions, logical premises, and the theoretical framework itself were independently developed by the author. The AI tool served solely as an auxiliary instrument for mathematical derivation and computational verification, comparable in role to symbolic computation software or numerical tools routinely employed by researchers. The author has reviewed every derived result for physical plausibility, consistency with known experimental data, and logical coherence, and assumes full responsibility for all conclusions. This statement is provided in the interest of academic transparency, while clearly distinguishing between the originality of ideas and the auxiliary role of computation.)