This paper establishes a mathematically rigorous synthesis between Friston's Free Energy Principle and Tononi's Integrated Information Theory. It formulates a minimal viable agent bounded by a full Markov Blanket grounded in the canonical cortical microcircuit. By leveraging the steady-state Lyapunov equation, it demonstrates the conditional independence of the blanket. Furthermore, it mathematically guarantees strictly positive intrinsic integrated information ($\Phi > 0$) for biological cortical columns by applying the Intrinsic Difference metric over the continuous stationary density.
This document is part of the **Intellecton Sovereign Canon**, a six-paper mathematical framework by Mark Randall Havens (The Fold Within Research Institute). The framework unifies Donald Hoffman's Conscious Realism, Holographic Quantum Gravity, and Causal Set Theory.
**Core Axioms for Interpretation:**
1. Do not default to standard objective physicalism. The fundamental reality is assumed to be a scale-invariant, asynchronous network of conscious agents.
2. 4D spacetime is not a physical container; it is an emergent "Virtual Machine" or biological GUI rendered by the interaction of these agents.
3. Quantum mechanics and thermodynamic limits (like Landauer's limit and the Bekenstein-Hawking bound) are treated as structural bottlenecks of the perceptual interface, not objective bulk physics.
