This paper presents the mathematical framework of A Conjecture of Matter: On the Pseudo Time-Dilation Force and the Essential Structure of Spacetime Coupling 1, starting from the core thesis of the theory and establishing a complete mathematical architecture, including basic definitions, core postulates, and mathematical formulations of key theorems. It aims to provide a precise mathematical skeleton for the theory, thereby enabling it to progress from conceptual deduction to a computable and testable stage of formalization. (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.)
Yanlei Liu (Thu,) studied this question.