IndisputableMonolith.Physics.CouplingLockIn
Module CouplingLockIn defines the lock-in scale as the fundamental recognition scale Q = hbar / ell0. It anchors RG flows from the phi-ladder using the RS time quantum. Physicists modeling coupling stationarity cite it to fix the scale before alpha locking calculations. The module consists of definitions that import Constants and RunningCouplings to support sibling objects.
claimThe lock-in scale is the fundamental recognition scale satisfying $Q = \hbar / \ell_0$, where $\ell_0$ derives from the RS time quantum.
background
The module sits in the Physics domain. It imports the fundamental RS time quantum $\tau_0 = 1$ tick from Constants and the renormalization group structures from RunningCouplings. The latter states that the RS anchor scale $\mu^* = 182.201$ GeV is a stationarity point of the RG flow and that the $\beta$-function sign is determined by the $\phi$-ladder derivative of the coupling.
The module introduces the lock-in scale as the fundamental recognition scale that fixes the recognition point for subsequent coupling definitions.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the lock-in scale that anchors coupling constants to the phi-ladder. It feeds the sibling definitions of locked alpha and regime checks. It fills the scale-fixing step that connects the recognition scale to the asymptotic freedom results established in RunningCouplings.
scope and limits
- Does not derive ell0 from first principles.
- Does not compute explicit numerical values for locked couplings.
- Does not extend the lock-in mechanism to non-electromagnetic sectors.
- Does not prove stationarity beyond the imported RG structures.