canonicalUnitMinimalOrbitFramework_bridge
plain-language theorem explainer
The unit-amplitude closed framework realizes the canonical unit orbit: its fixed-data realization is unique, projects to the minimal closed scale orbit, and matches the canonical sequence-level orbit. Anyone citing amplitude normalization or scalar reduction of positive-amplitude orbits needs this certificate. The proof is a one-line specialization of the general minimal-orbit bridge at amplitude 1.
Claim. For any minimal discrete hierarchy $H$, the unit-amplitude canonical closed framework at base state $0$ with amplitude $1$ carries a minimal-orbit realization bridge: the realized orbit is unique for that fixed data, projects to the minimal closed scale orbit of $H$, and agrees with the canonical sequence-level orbit.
background
The Unified Forcing Chain module derives T0–T8 as inevitabilities from the Recognition Composition Law plus normalization and calibration. Inside that chain, closed observable frameworks package the discrete ledger data on which orbits live.
A minimal hierarchy is a geometric scale ladder closed under the first nontrivial composition step (the Fibonacci relation). A minimal-orbit realization bridge is a certificate that a fixed-data realization is unique, projects to the minimal closed scale orbit, and agrees with the canonical sequence-level orbit.
The unit case fixes amplitude $1$ (with the standing positivity witness) and base state $0$ on the canonical unit framework built from $H$. The general bridge for arbitrary positive amplitude is already available upstream; this declaration pins the unit specialization used by amplitude normalization.
proof idea
One-line term proof: apply the general canonicalMinimalOrbitFramework_bridge at amplitude $1$, the unit-amplitude positivity witness, and the given minimal hierarchy. No extra algebra; the unit framework and its realization are exactly the instances that bridge expects.
why it matters
Feeds canonical_amplitude_normalization, whose unit-bridge field is filled by this theorem. That certificate is the hook for the claim that any positive-amplitude canonical orbit is a scalar multiple of the unit canonical orbit, so all amplitude bookkeeping reduces to the unit case.
In the forcing chain this sits under the discrete ledger and recognition layers (T3–T4) that support unique $J$ (T5) and the $\varphi$-ladder (T6). It does not itself force $\varphi$ or $D=3$; it stabilizes the orbit-realization interface those later steps rely on when amplitudes are normalized.
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