Paper G1 — Emergent Time

Paper G1 demonstrates that time emerges as a representational necessity from Cohesion Dynamics substrate mechanics. Any coherent substrate supporting persistence and interaction requires time—not as a background dimension or primitive parameter, but as ordered closure-cycle accumulation.

Key Results:

• Building on substrate commit semantics (A) and formal mechanisms (M1–M4), time is forced by the need to track ordering of discrete closure events
• Closure cycles are irreversible at the representational level, producing natural arrow of time without additional axioms
• Time is ontologically empty: it does not exist in substrate, but is representational bookkeeping for closure-cycle succession
• Time is purely ordinal—a labeling of closure events preserving their causal order

Epistemic Status: No background time coordinate, metric time, or continuum assumed. Time emerges as minimal parameter necessary to distinguish “before” from “after” in constraint resolution. Establishes what time is as derived structure. Does not yet address rates, duration, synchronization, or dynamics—those follow in G2–G4.

Scope: Derivation proceeds exclusively from CD primitives. No relativity, spacetime, or geometric structure assumed. Time emerges independently of space; spatial structure deferred to G2–G3.

Substrate Assumption: Quantum-capable substrate (DCC-QM) with finite tolerance, coherence, admissibility, commit semantics. Cites AX-REL (relational evolution), AX-TOL (tolerance), AX-COH (cohesive units), AX-PAR (partition), AX-ADM (admissible moves), AX-SEL (precedence), AX-MEM (persistence).

Paper ID: CD-G1 | Series: G-series (Gravity and Geometry Derivation) | Status: Draft | Dependencies: A, M1–M4, AX-TOL, AX-COH, AX-PAR; informed by R-DCC