A Conjecture of Matter:A New Particle Predicted by the Ticking Law of Time——Theoretical Derivation and Testable Properties

Starting from the mathematical framework of the Ticking Law of Time, this paper derives a new particle state that does not exist in the Standard Model. The existence of this particle is not an assumption, but a natural consequence of the recursive equations of the Ticking Law—when the cumulative residual of closed rhythms reaches a critical threshold, the quantum field system transitions from a symmetric phase to a spontaneously broken phase, producing a new stable excitation. This paper presents a complete theoretical derivation of the particle's mass spectrum, coupling constant, decay width, and production conditions, and identifies its distinguishing feature: both mass and coupling constant depend on the cumulative tick count N , satisfying the relation g_{\phi\gamma\gamma} \propto m_\phi^2 . The existence of this particle can be tested by high-repetition-rate laser experiments. (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.)