canonicalThreshold
plain-language theorem explainer
Defines the canonical real threshold as the golden ratio minus three-halves. Standard-model structural arguments in the eight-tick module cite it as the fixed comparison level for domain cost. The body is a one-line arithmetic definition from the RS constant φ.
Claim. The canonical threshold is the real number $\varphi - 3/2$, where $\varphi$ is the golden ratio fixed by self-similarity.
background
Module RS_STD_Structural_005 sits in the Standard Model layer and records structural facts tied to the RS eight-tick: period $2^D = 8$, one full traversal of the binary recognition lattice. Status is structural (no sorry, no axioms).
The constant $\varphi$ is imported from IndisputableMonolith.Constants; in the forcing chain it is the unique self-similar fixed point (T6). Cost infrastructure from IndisputableMonolith.Cost supplies the non-negative domain cost against which thresholds are compared. Sibling facts in the same file establish non-negativity of domain cost and positivity of this threshold.
proof idea
Pure definition: the real is set equal to $\varphi - 3/2$. No lemmas, tactics, or proof obligations.
why it matters
Gives a named numeric gate inside the eight-tick Standard Model structural package. Downstream certificates in the same module (RSSTDStructural005Cert and the inhabited cert) can compare domain cost to this level without inlining the arithmetic. It sits next to the T7 eight-tick octave and the T6 forcing of $\varphi$, so structural SM claims stay pinned to the same RS-native scale used for mass rungs and the Berry threshold $\varphi^{-1}$.
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