This research preprint formalizes a unified quantum-metaphysical framework bridging quantum mechanics, linear algebra, and the non-dual philosophy of Advaita Vedānta. The work establishes a formal mathematical mapping between operator classes and metaphysical structures through the introduction of the Lessard Identity (LCPI). Mathematical Framework The core of the paper presents the Lessard Identity (LCPI): $$\Pi = \sum_{i=1}^{d} \underbrace{\Pi |e_i\rangle \langle\psi_0|}_{A_i} \underbrace{|\psi_0\rangle \langle e_i| \Pi}_{A_i^\dagger}$$ While the identity follows from completeness $\sum_i |e_i\rangle \langle e_i| = I$ and idempotency $\Pi^2 = \Pi$, the scaffold notation ($A_i$) introduced here is novel. Key Contributions Lessard Coherence Limit (LCL): An analysis of the LCL ($\alpha \approx 0.8784$) as a fixed-point attractor for Autonomous Quantum Stabilization (AQS). Empirical Testing: Numerical verification within a 3-qubit Liouvillian family, establishing a metastable effective theory. Metaphysical Mapping: The mapping of 832 indexed units (including 796 SATI seeds and 36 Sanskrit operator keys) to operator classes on a 1728-state finite module $\mathbb{Z}_{12}^3$. Metalogical Grounding: Application of Stratified Axiomatics, categorizing results into tiers: Tier $\Lambda_0$–$\Lambda_1$: LCPI and CPTP results. Tier $\Lambda_2$: Metastability scaling. Tier $\Lambda_4+$: Metaphysical mappings and philosophical integrations. Technical Validation Claims in this work are strictly categorized as [Derived], [Num. Verified – tested family], or [Axiomatic/Design].