What question did this study set out to answer?

The research aims to formalize a framework that connects quantum mechanics to metaphysical principles of Advaita Vedānta.

March 16, 2026Open Access

Quantum-Metaphysical Architecture of Reality: Analysis of Self-Projected Unity

Key Points

The research aims to formalize a framework that connects quantum mechanics to metaphysical principles of Advaita Vedānta.
Introduced the Lessard Identity to describe relationships between quantum states.
Developed scaffold notation to illustrate mediation between basis states and observer states.
Analyzed the Lessard Coherence Limit to identify a stabilization fixed point.
Identified a metastable fixed-point value at 0.8783 for Autonomous Quantum Stabilization.
Demonstrated the ability to categorize results using Stratified Axiomatics.
Mapped the SATI-832 Codex onto a 1728-state finite module.

Abstract

This research preprint formalizes a unified quantum-metaphysical framework bridging quantum mechanics, linear algebra, and the non-dual philosophy of Advaita Vedānta. We present the Lessard Identity (LCPI): = ₈=₁^d |eᵢ ₀| |₀ eᵢ| The identity follows from the principles of completeness (|eᵢ eᵢ| = I) and idempotency (² =). The work introduces the novel "scaffold notation" Aᵢ = |eᵢ ₀| to describe the mediation between basis states and the observer state. The paper further analyzes the Lessard Coherence Limit (LCL), identifying a stabilization fixed-point at = 0. 8783. This value defines a metastable window for Autonomous Quantum Stabilization (AQS). The framework maps the SATI-832 Codex onto a 1728-state finite module, utilizing Stratified Axiomatics to categorize derived technical results alongside interpretive metaphysical mappings.

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