We introduce the Principle of Informational Distinction (PID) as an operational framework in which information is defined as the capacity of a physical system to sustain stable, measurable distinctions under time evolution. Two platform-dependent observables — a structural momentum Ω (Ω = M²LT⁻¹) and a synchronisation velocity Vₛ (Vₛ = LT⁻¹) — define a balance capacity P ≡ ΩVₛ (P = M²L²T⁻²), treated as conserved on windows diagnosed by an explicit regime gate (Step 0). A causal ceiling v₌₀ₗ bounds propagation; the channel aperture w ≡ Vₛ/v₌₀ₗ ∈ (0, 1] parametrises the operational regime. On diagnosed conservative windows, treating P as window-invariant under the chart-redundancy and uniform-cell contracts fixes a symplectic geometry on the (Ω, Vₛ) plane and thereby induces phase-space structure, areal quantisation, and an action-scale closure — none of which are assumed as independent postulates. In particular, the action-scale closure is tested in its operational domain form ℏₒₓ₃ =? 2κ₂₀₍·P̂, where κ₂₀₍ is a clock-based estimator with κ₂₀₍ = TM⁻¹ and P̂ the exported balance capacity; on closure-eligible platforms neither acquisition chain uses ℏ as input. Five quantitative predictions (P1–P5), each with explicit PASS/FAIL criteria, encode the empirical content. An anticircular dataflow enforces that each prediction is evaluated on disjoint pre-registered datasets, preventing post hoc tuning.
JORGE MARCOS PÉREZ (Tue,) studied this question.