IndisputableMonolith.Papers.DIF.ScaleFreeForced
This module supplies a compact interface for the zero-parameter closure assumption inside the scale-free forced dynamics of Recognition Science. It groups the core propositions that let the functional equation close without introducing free parameters. The interface directly supports statements that zero parameters force scale-free structure and discreteness.
claimThe zero-parameter closure assumption is the proposition that the recognition composition law admits a unique self-similar solution with no adjustable constants beyond the forced fixed point and octave structure.
background
The module resides in the Papers.DIF section and imports only Mathlib. It encodes the zero-parameter closure as a compact Prop that encapsulates the assumption of parameter-free closure under the recognition composition law. The local setting draws on the unified forcing chain in which J-uniqueness is forced as J(x) = (x + x^{-1})/2 - 1, phi is forced as the self-similar fixed point, the eight-tick octave is forced, and D = 3 spatial dimensions follow.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module feeds the statements that zero parameters force scale-free behavior and the discreteness forcing statement. It supplies the compact interface for the closure assumption that completes the zero-parameter derivation, allowing the forcing chain to reach physical predictions with constants fixed at c = 1, hbar = phi^{-5}, and G = phi^5 / pi.
scope and limits
- Does not prove the zero-parameter closure itself.
- Does not derive explicit numerical values for constants.
- Does not address models that retain free parameters.
- Does not contain the proofs of downstream forcing theorems.