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what is the bridge that made recognition science parameter free

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. The page will refresh to your answer when it’s ready.
confidence: moderate in recognition cached

Recognition Science is parameter-free because all constants and structures derive from the single functional equation whose unique solution is the cost function J(x) = (x + x^{-1})/2 - 1. This uniqueness forces phi via self-similarity and then every derived quantity (c = 1, ħ = phi^{-5}, G = phi^5 / pi, etc.) with no free parameters. The supplied slice does not contain the load-bearing uniqueness theorem; the framework establishes the result via the J-cost uniqueness corollary referenced in the ArithmeticFromLogic module comments. Related zero-parameter derivations appear in the gravity sector: kappa_rs_closed_form proves kappa_rs = 8 * phi^5 exactly, and equivalence_principle_automatic shows the equivalence principle follows automatically from J symmetry and uniqueness. The CostCoveringBridge module supplies an explicit carrier package for conditional results but does not address the core parameter freedom.

cited recognition theorems

outside recognition

Aspects Recognition does not yet address:

  • The theorem washburn_uniqueness_aczel establishing J uniqueness (IndisputableMonolith.Cost.FunctionalEquation)
  • The full T5 forcing step (t5_holds)

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.