DecoherenceFalsifier
A record packages a system label, observed decoherence time, model prediction, and a relative discrepancy exceeding 50 percent. Experimentalists testing the phi-scaling law from the Gap-45 threshold would cite the record to log counterexamples. The definition assembles the four components with an embedded inequality and no further computation.
claimA falsifying instance consists of a system label $s$, measured decoherence time $t_m$, predicted time $t_p$, and the condition $|t_m - t_p|/t_p > 0.5$.
background
Gap-45 marks the crossover from quantum to classical regimes at a ratio of approximately 10^45 between Planck and biological timescales. Decoherence time scales as base coherence time times phi to the minus number of coupled environmental modes. The module derives this scaling from the discrete structure and positions the record as a concrete test for the resulting formula.
proof idea
The declaration defines the structure directly with four fields and an embedded inequality on the discrepancy.
why it matters in Recognition Science
This supplies a test harness for the decoherence timescale derived from the Gap-45 threshold. It connects to the Recognition Science forcing chain through the phi-ladder scaling and the eight-tick octave. No downstream results depend on it yet, leaving the falsification criteria open for experimental mapping.
formal statement (Lean)
247structure DecoherenceFalsifier where
248 /-- The system being tested. -/
249 system : String
250 /-- Measured decoherence time. -/
251 measured : ℝ
252 /-- Predicted decoherence time. -/
253 predicted : ℝ
254 /-- Significant discrepancy. -/
255 discrepancy : |measured - predicted| / predicted > 0.5
256
257end Decoherence
258end QFT
259end IndisputableMonolith