Schrödinger's Cat as a Three-Regime Structural Transition: A Structuristics Instantiation in the Quantum Measurement Domain

This working paper instantiates the Structuristics framework (DOI: 10.5281/zenodo.19636897, v2.0.0) in the quantum measurement domain, reinterpreting the Schrödinger cat paradox as a three-regime structural transition governed by Decompositional Integrity I_D(t) rather than a binary collapse event. The central argument is that wave-particle duality is the shadow of a ternary structure projected onto a binary observational frame: two regimes are structurally insufficient to describe a genuine transition, and the absent intermediate regime produces the apparent paradox. The paper formalises a modified Schrödinger equation with an entropic trigger gamma(t) driven by the time-averaged integrity I_D_bar(t), which carries memory of the initial state and activates only under accumulated structural drift, not under reversible oscillations. Norm conservation is proved explicitly for the deterministic part; a stochastic extension recovers Born-rule statistics via the Ito convention; a scale estimate tau_0(N, alpha) derives the empirical invisibility of the Corrigible regime for macroscopic systems. The mechanism is traced to its origin in CAMAF 2.0.3 (DOI: 10.5281/zenodo.19076532) via the Newton-Einstein-Eddington logistic model, of which this paper is the fourth domain instantiation. The paper is fully compliant with CAMAF CS2 (Standards 1-10 declared, Standard 6 satisfied at claim level via inline epistemic labels). Five falsifiable predictions are stated (Q1-Q5). The primary discriminating test of Q5 is the Akaike Information Criterion comparison between logistic and exponential decay models on individual quantum trajectory records of I_D_bar(t): the ternary framework predicts logistic decline with an identifiable inflection point tC > 0, whereas standard exponential decoherence has its inflection at t = 0. Simulation against the validated Bayesian model of Chantasri et al. (2016, Physical Review X 6, 041052) shows mathematical consistency with the logistic structure; analytic confirmation is provided by the exact parity-meter solution of that paper, which is the logistic function I_D(t) = 2/(1 + exp(t/tau_m)), derived independently of this framework. The Englert complementarity relation V^2 + D^2 <= 1 is identified as the existing experimental signature of the ternary structure, with I_D_bar(t) proposed as its natural parametrisation. The paper introduces the Evolutionary Fractal concept and the cross-domain prediction P-FE1. The Evolutionary Fractal mechanism was not derived from the Structuristics framework: it was discovered empirically during the galactic rotation curves work (DOI: 10.5281/zenodo.19872381) through the author's active search beyond the RAR baseline, subsequently formalised in Structuristics v2.0.0, and applied here as the first deliberate framework-guided test in an independent domain. Two confirmed instances are documented: the galactic domain (Delta R^2 = 0.033 over RAR baseline, circularity = 0%, permutation p = 0.000) and the quantum domain (Q5 simulation result). A third instance is identified within the Structuristics corpus itself via the declared N-E-E transition between Core Operators and Axiom System D0-D6 in Structuristics v2.0.0. A condensed three-class residue taxonomy (R1 structural, R2 indeterminate, R3 genuinely stochastic) is introduced; full treatment is reserved for a dedicated paper. The paper is updated to full Structuristics v2.0.0 compliance: I_D reframed as operator behaviour metric per D0-D6 interpretation; D3 (non-injectivity) declared in the quantum domain as a theorem via Born rule and pigeonhole argument; rho(t) = 1 - I_D(t) introduced as a first-class residual object; Admissible Instantiation compliance declared (Conditions 1-5, Condition L, K(y), CEF, H-Amp). The relationship between the Evolutionary Fractal and H-Amp is explicitly distinguished. The Bohr-Einstein debate is reanalysed as a projection artefact: Copenhagen, Everett, GRW/CSL, and Lindblad decoherence each describe a valid projection of the ternary structure onto a binary screen. Files are restricted pending confirmation of Q5 against raw experimental data. Use of AI assistance is declared.