The Noesis Framework: Consciousness as Topological Quantum Error Correction in Emergent Spacetime

Major Update v3.1

This version represents a rigorous standardization of the framework, transitioning from a conceptual proposal to a consistent Effective Field Theory (EFT). Key theoretical advancements include:

• Ghost-Free UV Completion: The non-minimal $\Xi R$ gravitational coupling is now explicitly formulated via an axion-like dual frame to ensure unitarity and avoid Ostrogradsky instabilities at high energies.

• Thermofield Double (TFD) Time: The emergence of subjective time is generalized for finite-temperature biological systems using the TFD formalism, linking temporal flow directly to entanglement entropy production ($d\tau \propto dS$).

• The Noetic Charge ($Q_{\Xi}$): Defined formally as the Spectral Entropy of the agent's connectivity graph, replacing heuristic references to Integrated Information ($\Phi$).

• Riesz Fractional Dynamics: The non-local interaction is mathematically refined using the Riesz Fractional Laplacian with a participatory index $\alpha \in (0, 2]$, recovering standard locality in the limit $\alpha \to 2$.

• Dimensional Consistency: Fixed mass dimensions for the participatory coupling $g_p$ and clarified the dynamical promotion of the Agent term ($\mathcal{A}$).

• Updated Simulations: Appendix L now includes revised QuTiP code implementing the correct saturation law ($g_p \propto \tanh Q_{\Xi}$) for the Quantum Refrigerator effect.

• Topological Clarification: Explicitly clarified the dimensional reduction of the boundary Topological Field Theory (TQFT) to the appropriate spatial foliation.

• Holographic Consistency: Applied text refinements to ensure full alignment with standard dS/CFT holographic terminology (conjectural status).

Previous terminology (e.g., "ESPM", "3D Time") has been deprecated in favor of a strictly atemporal bulk formulation.