IndisputableMonolith.Physics.SuperconductingQubitFromJCost
This module constructs models of superconducting qubits directly from the J-cost function of Recognition Science. It introduces the qubit type, rung-based coherence functions on the phi-ladder, and a certification predicate. Quantum information researchers seeking RS-derived qubit parameters would cite these definitions. The module contains only definitions and supporting lemmas with no proof obligations.
claimDefines the superconducting qubit type together with coherence functions $coherenceAtRung(n)$ and $coherenceRatio$ evaluated at rungs of the phi-ladder, plus the predicate $SCQubitCert$ that certifies valid qubit instances from J-cost.
background
Recognition Science obtains all constants from the single functional equation whose solution yields the J-cost $J(x) = (x + x^{-1})/2 - 1$. The upstream Constants module supplies the base time quantum with doc-comment stating 'The fundamental RS time quantum (RS-native). τ₀ = 1 tick.' This module applies those primitives to qubit models by placing coherence measures at discrete rungs of the phi-ladder whose spacing is fixed by the self-similar fixed point phi.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the concrete physics layer that turns the abstract J-uniqueness and phi-ladder constructions into qubit models. It sits between the core forcing chain (T5-T8) and any future application theorems that would compute coherence times or alpha-band constraints for superconducting devices.
scope and limits
- Does not derive numerical coherence times for any material.
- Does not incorporate experimental decoherence data.
- Does not connect the qubit certificate to the alpha inverse band (137.03, 137.04).
- Does not address multi-qubit entanglement from the same J-cost.