IndisputableMonolith.Sport.PeakPerformanceFromJCost
The Sport.PeakPerformanceFromJCost module supplies the J-cost certification for peak athletic performance by instantiating the reusable ratio template. Researchers applying Recognition Science to sports optimization would cite it within the domain-cert chain. The module imports the CanonicalJBand template and defines the sibling objects PeakPerformanceCert and peakPerformanceCert to encode the six-clause conditions for the sport case.
claimPeakPerformanceCert asserts that the J-cost on the performance ratio $r$ satisfies the six-clause band: $J(1)=0$ and $J(r)≥0$ for $r>0$, together with the remaining four clauses of the canonical template.
background
The module sits inside the Recognition Science framework that derives all physics from a single functional equation on the J-cost. It imports IndisputableMonolith.Common.CanonicalJBand, whose documentation states: “The six-clause J-cost-on-ratio template is used across the master cert chain (B-tier whole-science openings, the Plan v7 forty-something domain certs). Each domain cert proves: 1. matched-zero: J(1)=0 2. nonneg: J(x)≥0 for x>0.” The sibling declarations PeakPerformanceCert and peakPerformanceCert apply this template to the sport domain.
proof idea
This is a definition module, no proofs. It consists of the import of CanonicalJBand followed by the two sibling declarations that instantiate the six-clause template for the peak-performance ratio.
why it matters in Recognition Science
The module supplies the sport-domain slot in the master cert chain described by CanonicalJBand. It therefore feeds the B-tier whole-science openings and the Plan v7 collection of domain certs that together cover the Recognition Science applications.
scope and limits
- Does not derive numerical performance predictions or record values.
- Does not address empirical fitting to real athletic data.
- Does not extend the J-cost template to non-ratio or time-dependent quantities.
- Does not treat non-peak or sub-maximal performance regimes.