ZeroParamClosure
plain-language theorem explainer
ZeroParamClosure packages the assumption of no intrinsic timescale beyond normalization by τ₀ as a one-field structure. Researchers formalizing scale-free closure-delay laws in Recognition Science cite it to justify the A6 bridge from zero-parameter closure to scale invariance. The declaration is a structure definition whose single Prop field directly encodes the absence of characteristic time.
Claim. A structure asserting that the closure-delay survival law admits no characteristic timescale other than the normalization constant $τ_0$.
background
The module formalizes the A6 step: zero-parameter closure excludes a characteristic timescale, forcing the closure-delay law to be scale-free. This supplies a compact interface for the assumption in the DIF paper context. Upstream definitions include scale as $ϕ^k$ from LargeScaleStructureFromRS and consistency structures from empirical programs and mechanism design that maintain the broader Recognition Science setting.
proof idea
This is a structure definition introducing the no_characteristic_time field as a Prop. No tactics or lemmas are applied; the declaration records the assumption surface for downstream use.
why it matters
The structure supplies the hypothesis for zero_param_forces_scale_free, which concludes the closure-delay law is scale-free. It fills the A6 proposition-level bridge. In the framework it supports the forcing chain by ensuring scale invariance consistent with the phi-ladder and eight-tick octave.
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