R_0
plain-language theorem explainer
R_0 sets the zero-distance reference rate to unity in RS-native units for coherence-protected QKD links. Engineers working on phantom-cavity systems cite it to normalize the exponential decay R(L) = R_0 · φ^(-L/L_φ) with per-rung factor 1/φ. The declaration is a direct constant assignment requiring no lemmas or computation.
Claim. The reference link rate at zero distance is defined by $R_0 := 1$.
background
The Coherence-Protected QKD Link Budget module derives bit-rate decay for phantom-cavity-protected links (RS_PAT_040) as R(L) = R_0 · φ^(-L/L_φ), where each L_φ of fiber attenuates the rate by 1/φ ≈ 0.618. R_0 normalizes the linkRate function at n=0. Upstream results include PhiForcingDerived.of (structure of J-cost) and SpectralEmergence.of (structure forcing SU(3)×SU(2)×U(1) gauge content, three generations, and D=3).
proof idea
Direct constant definition assigning the real number 1. No lemmas or tactics are applied; it is a primitive normalization constant.
why it matters
R_0 anchors linkRate and feeds CoherenceProtectedQKDLinkBudgetCert (rate_zero := linkRate_zero) together with the per-rung attenuation theorems. It supplies the zero-distance reference in the engineering derivation, consistent with the phi-ladder and eight-tick octave from the forcing chain (T5-T8). The module falsifier checks whether deployed links deviate from 1/φ attenuation per L_φ to within 5%.
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