Event-Restricted Temporality (ERT) and the Problem of Time

The canonical “problem of time” in quantum gravity is a domain error: a temporal parameter is applied to descriptions for which it is inapplicable. Time is neither a universal physical structure nor an emergent quantity. It is a parameter licensed only for descriptions that refer to irreversible event actualization (i.e., the fixing of an irreversible descriptive fact) and is inapplicable outside that domain. This paper enforces a sharp three‑regime discipline—structural, retentive, and event—defined by predicate admissibility. The role of this regime taxonomy is diagnostic: it fixes where temporal predicates are well‑typed and where they are not. Structural and retentive descriptions are non‑temporal by meaning, not by approximation. Only event descriptions, in which irreversible descriptive facts are fixed, license before/after orderings and the admissibility of temporal parametrization; extending time beyond this regime manufactures the apparent contradiction between timeless canonical gravity and time‑dependent quantum dynamics. The restriction is formalized via an event‑restriction operator and the Echo Time Equation. The equation is a domain‑of‑definition condition specifying when time‑dependent descriptions are admissible. Once the restriction is enforced, canonical timelessness and ordinary time‑dependent quantum modelling are jointly correct, each within its proper domain; a large class of standard temporal questions in quantum gravity are thereby shown to be ill‑posed because their required temporal operators (e.g., t, ∂/∂t) are undefined on that domain.