strategyImprovement
plain-language theorem explainer
Assigns numerical improvement factors to each of the five decoherence mitigation strategies within the Recognition Science QFT model. A physicist estimating qubit coherence times from the Gap-45 threshold would cite these values when scaling decoherence time as tau_0 times phi to the minus N. The definition proceeds by exhaustive case analysis on the inductive enumeration of strategies.
Claim. The function that maps each decoherence mitigation strategy to its expected improvement factor in the reals: reducing coupling strength yields a factor of 10, reducing environmental modes a factor of 100, active error correction a factor of 1000, dynamical decoupling a factor of 100, and topological protection a factor of 10^6.
background
DecoherenceStrategy enumerates five concrete approaches to extending coherence time below the Gap-45 threshold. Gap-45 marks the crossover at roughly 10^45 operations between the quantum regime, where information remains coherent, and the classical regime, where entanglement with the environment produces decoherence. The module states that decoherence time scales as tau_0 times phi to the minus N, with N the number of coupled environmental modes and phi the golden ratio fixed point from the forcing chain.
proof idea
Direct definition by pattern matching on the five constructors of the inductive type, returning the listed real number in each case.
why it matters
Supplies the quantitative multipliers required to compute decoherence times inside the QF-009 derivation. It feeds estimates of how strategies can keep a system below the Gap-45 boundary and thereby preserve superposition. The values connect to the phi-ladder scaling and the J-cost coupling that appear in the upstream FEP bridge and simplicial ledger.
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