IndisputableMonolith.Certificates.UnitsKGate
Supplies floating-point helpers for the dimensionless K bridge ratio and units gate certificates. Defines absolute difference, approximate equality, ratio computation, and UnitsKGateCert. Imported by LNALCerts to support token delta-unit bounds. The module contains only definitions with no theorems or proofs.
claimDefines $\mathrm{floatAbs}(x) = |x|$, $\mathrm{approxEq}(x,y,\epsilon) \approx |x-y| < \epsilon$, $\mathrm{computeRatios}$, and $\mathrm{UnitsKGateCert}$ for the dimensionless bridge ratio $K$ display equalities.
background
The upstream KDisplay module establishes the dimensionless bridge ratio K and display equalities. This certificate module adds floating-point utilities including absolute difference for floats to support approximate checks in unit certificates. It sits in the Certificates domain and is imported by LNALCerts.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
Feeds the LNALCerts module which provides the LNAL invariants certificate bundling VM preservation and token δ-unit bound. Supplies the units K-gate certificate layer for the Recognition framework constants.
scope and limits
- Does not establish the value of the K ratio.
- Does not prove any theorems about units or gates.
- Does not implement exact arithmetic over rationals.
- Does not reference the J-function or phi-ladder directly.