EmergenceFalsifier
plain-language theorem explainer
This structure records potential experimental falsifiers for the derivation of classical physics from many-body J-cost minimization in Recognition Science. Researchers testing decoherence mechanisms or pointer-state selection would cite it when checking consistency with observed absence of macroscopic superpositions. The definition is a direct two-field record construction with no computational steps.
Claim. A record type consisting of a string describing a potential falsification of classical emergence together with a string recording its current experimental status.
background
The module QF-011 derives classical emergence from quantum mechanics by showing that J-cost scales linearly for product states but quadratically for entangled states, so that for large particle number N the minimum-cost configurations are classical. J-cost is the function J(x) = (x + x^{-1})/2 - 1, which is strictly convex with unique minimum at x = 1. Upstream structures supply the supporting definitions: nuclear densities on the phi-ladder, RS-native units with coherence quantum phi^{-5}, ledger factorization for the J-calibration, phi-forcing derivations, spectral emergence fixing gauge content and generations, and the physics-complexity structure that establishes convexity of J-cost minimization together with local 8-tick dynamics.
proof idea
The declaration is a structure definition that directly introduces the two string fields without invoking any lemmas or tactics.
why it matters
It supplies the type used by the experimentalStatus definition in the same module, which enumerates concrete checks such as never-observed macroscopic superpositions and confirmed decoherence scaling with system size. The structure thereby anchors the paper proposition on classical emergence from RS (Nature Physics) and connects to the framework landmarks of J-uniqueness (T5), the eight-tick octave (T7), and D = 3 spatial dimensions. It leaves open the quantitative derivation of the exact N^2 scaling coefficient for entangled J-cost.
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