Time Crystal

A Time Crystal is the Rhythm tick a pulse deposits: the duration ⧖ of one toggle step, 0→1 or 1→0, the temporal periodicity that maintains rhythmic oscillation and establishes the stable temporal lattice underlying causality. It is one of the Primary Fundamentals of Chapter 1, with Strings (⦚), which give spatial extension, and Data (ↁ), the record each transition leaves; their intersections build the cascade of structure (Time Crystal × Time Crystal gives resonance, String × Time Crystal spacetime, Data × Time Crystal causal structure). Every Time Crystal duration triggers a state update in which the binary value toggles, ↁ○(t+⧖) = ⛮(ↁ○(t)), and each toggle both inverts the state and preserves its record, coupling energy and memory. The interval is the Pulse Rhythm itself, so ⧖ = ①⥂⧖ is an identity: one Time Crystal is one half-cycle, half a Pulse Tempo, ①⥂⧗⌂/2 in our universe, and the data processing velocity at this scale is 2𝒞→ (Data Energy Mass Equivalence). The name is the book's own and is not Wilczek's time crystal, a many-body phase that breaks time-translation symmetry (Wilczek, 2012); here the Time Crystal is the tick, the quantum of rhythm a pulse lays down. The book writes ⧖ [𝕋], the Time Crystal duration, the fundamental temporal quantum for one string segment, a half-cycle; the Zinf-scaled form ⧖(ℨ) is the Zinf Rhythm ↁℨ⧖ = ℨ/2. It connects to Pulse Rhythm Definition, Pulse Rhythm Resolution, Pulse State Toggle Definition, Strings, Data Fundamental Definition and Zinf Rhythm.