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

This paper tentatively extends the gravitational barrier and geometric relaxation framework to explore a potential conceptual bridge between general relativity and quantum mechanics. Rather than proposing a unified theory, it offers a preliminary perspective: both frameworks may be understood as complementary descriptions of the same underlying process—geometric relaxation—at different scales. General relativity is interpreted as the continuous description of geometric strain on macroscopic scales, while quantum mechanics is interpreted as the discrete manifestation of the same strain on microscopic scales. This interpretation is speculative and is presented as an exploratory hypothesis, not as an established physical conclusion. Four principled falsifiability conditions are provided to define the empirical boundary of this tentative framework. The geometric relaxation framework itself is established in a companion paper [7]; the present paper builds upon it without reproducing its foundational derivations, and all conclusions are offered with explicit acknowledgment of their provisional nature. (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.)