Coherence-Selection Events and Causal Sets in Modal Triplet Theory: Non-Zeno Conditions, Reset Laws, and Covariant Statistics

Coherence-selection dynamics can generate an effective causal set only when the event law prevents accumulation and is covariantly defined. This paper states two sufficient routes. In a deterministic hybrid model, a reset margin together with a uniform bound on trigger growth gives a positive dwell time and hence finitely many events on every bounded trajectory interval. In a stochastic model, finite compensator measure on every compact spacetime region implies almost-sure local finiteness. Once local finiteness is established, events inherit a partial order from a globally hyperbolic spacetime. Positive stability margins alone do not provide either result, and noninvertible projection alone does not define event times, reset states, outcome probabilities, or irreversibility. Lorentz-invariant statistics require a concrete covariant event law, such as a scalar intensity with respect to spacetime volume; they do not follow from coherence language. The current MTT corpus does not yet select the required trigger, reset, or hazard. The construction is therefore a rigorous conditional event encoding, not a derivation of fundamental spacetime discreteness or measurement outcomes.