IndisputableMonolith.URCAdapters.UnitsIdentity
The URCAdapters.UnitsIdentity module formalizes the units identity proposition asserting c · τ₀ = ℓ₀ for all anchors in Recognition Science. Researchers checking dimensional consistency in RS-native units cite it when anchoring length and time scales. The module consists of a property definition paired with a holding theorem that draws directly on the imported Constants module.
claim$c · τ_0 = ℓ_0$ for all anchors, where τ₀ denotes the fundamental RS time quantum.
background
Recognition Science works in native units with c = 1. The upstream Constants module defines τ₀ as the RS time quantum equal to 1 tick. This adapter module supplies the formal Prop expressing the resulting units identity between length and time scales.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the units identity used by URC adapter constructions for dimensional consistency in the Recognition framework. It supports the T0-T8 forcing chain by confirming that length and time anchors remain compatible once c is fixed at 1.
scope and limits
- Does not derive numerical values of c or τ₀.
- Does not treat non-RS unit systems.
- Does not incorporate quantum or relativistic corrections.