LCL-832 as a Metastable Effective Theory: Technical Synthesis, Scaling Collapse, and Epistemic Classification

This deposition provides the camera ready technical form of the LCL 832 framework as a metastable effective theory for autonomously stabilized open quantum systems. The core scientific claim is stated in its strongest justified form: LCL 832 is a leading order Markovian normal form on a metastable manifold of a gapped Liouvillian, for a tested family of stabilizer pumping models with strong engineered dissipation. The manuscript explicitly separates three categories: derived statements, numerical verifications for the tested family, and open or axiomatic components. The central new result is a scaling collapse analysis of a 64 dimensional Liouvillian for a three qubit bit flip autonomous quantum stabilization model, showing a robust three timescale hierarchy with a fast contraction mode and a slow logical leakage mode. For the tested model the dominant nonzero eigenvalues are consistent with λfast = −(κ + 2γ) and λslow = −C∞ γ²/κ with C∞ ≈ 5.531, yielding |λfast/λslow| ∼ (κ/γ)²/C∞ asymptotically and establishing a metastable affine time window (κ + 2γ)⁻¹ ≪ t ≪ κ/(Cγ²). Within this technical scope, the value αLCL = 0.8783 is preserved as an explicit axiomatic or empirical operating point and is not derived from first principles in this work. The manuscript includes a complete tested Liouvillian specification, numerical methods, a deterministic eigenvalue selection rule, and fit diagnostics to support reproducibility for the tested family.