ψ-Retention Physics II: Laboratory Bifurcations, Ξ-Node Formation, and a Parametric Framework for Retentive Thresholds

This article develops the second stage of ψ-Retention Physics by introducing a parametric framework for retentive bifurcations — thresholds at which a noisy dynamical system transitions from dissipative fluctuation to statistical persistence. The work formalizes the Ξ-node as a non-dissipative statistical attractor, defined via Lyapunov stability and bounded variance, and specifies three operational observables: a signal-to-noise corridor (SNR ≈ 0.1–0.2), a characteristic period drift (~0.6), and variance saturation \frac{d}{dt}\mathrm{Var}(x)\to 0. Using optical and acoustic interferometers as laboratory platforms, the framework describes how retentive thresholds can be probed through controlled feedback, stochastic forcing, and variance-plateau detection. A Cosmos-to-Lab mapping matrix links these laboratory stability windows to cosmological diagnostics, including σ₈ suppression, weak-lensing growth anomalies, late-time correlation plateaus, and ΛCDM tensions, without assuming a strict physical identity between scales. The paper outlines falsifiability criteria (failure to realize bounded-variance regimes, non-reproducible SNR corridors, absence of Lyapunov-stable Ξ-states) and documents explicit limitations of the mapping procedure. Future directions include renormalization-flow constructions, extended Lyapunov spectra, cross-instrument replication, stochastic-forcing models, and potential tests with high-energy neutrino coherence (IceCube, KM3NeT) and large-scale surveys (DESI, Euclid, LSST). ψ-Retention Physics is thus positioned not as metaphysical persistence, but as a nonlinear stability program grounded in experimental and observational comparison.