To Notch a Stone with Six Birds: Time as a Theory Artifact of Order, Measure, and Arrow

To Notch a Stone with Six Birds develops a layer-relative account of time in the framework of Six Birds Theory (SBT). We treat time not as a primitive background parameter but as a closure artifact: a layer “has time” only insofar as it supports (i) a stable ordering of events, (ii) a stable measure of change (ticks), and (iii) an irreversible record or bookkeeping mechanism that makes “before vs after” matter. The paper separates two distinct arrows: Causation-time: the within-layer notion of “what happens next” given a fixed closure (fixed variables, objects, update rules, and feasibility). Enablement-time: the between-layer arrow along which the closure itself changes—new variables, objects, feasible moves, and stability regimes become possible. To keep these ideas auditable, we introduce a deliberately small finite-state “micro-laboratory” (a Markov world with a phase-like protocol variable and a ledger/record variable) and evaluate a suite of diagnostics under matched controls. We report: steady-state arrow proxies (including entropy-production–style asymmetry), DPI-safe path-space asymmetry under coarse-graining (“no fake arrows”), clock viability under noise and maintenance budgets (including anti-stall progress metrics), enablement as forced theory extension triggered by closure defects (with a no-birth control regime), feasibility constraints that carve reachability/influence cones and can collapse timekeeping, and a quantitative no global time demonstration via protocol holonomy (with a commuting control). We also include a minimal no-signalling “constraint box” example and mechanized structural lemmas (Lean 4) as lightweight anchors, clarifying how strong conditional updates can arise from joint feasibility constraints and record-making without constituting superluminal signalling channels. This work does not attempt to derive physical spacetime or settle interpretations of quantum mechanics; it provides an operational vocabulary and reproducible audit suite for distinguishing arrows, clocks, constraints, and protocol effects in emergent layers.