This chapter formalizes the dynamics of consciousness through the N-Frame Collapse Lagrangian, a variational principle uniting information theory, quantum mechanics, and phenomenology. Extending the Tri-Aspect Monism framework, it models quantum collapse not as a dualistic mind–matter interaction but as an epistemic projection across the observer’s boundary, where uncertainty resolves into inference. The Lagrangian defines consciousness as a least-action process that minimizes informational and thermodynamic tension while maintaining symbolic and contextual coherence. Through the Qualia–Schrödinger–Collapse equation, the chapter links physical, cognitive, and mathematical realities, introducing the SPDP and PAC formalisms as bridges between algebraic complexity and epistemic dynamics. It connects this framework to the P ≠ NP separation, showing how computational hardness mirrors the boundary between accessible and latent truth. By generalizing to a high-dimensional qualia tensor field, the N-Frame Lagrangian provides a unified, field-theoretic geometry of consciousness, integrating evolution, perception, and computation within a single informational manifold.

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The N-Frame Collapse Lagrangian: Variational Geometry of Consciousness

  • Darren J. Edwards

摘要

This chapter formalizes the dynamics of consciousness through the N-Frame Collapse Lagrangian, a variational principle uniting information theory, quantum mechanics, and phenomenology. Extending the Tri-Aspect Monism framework, it models quantum collapse not as a dualistic mind–matter interaction but as an epistemic projection across the observer’s boundary, where uncertainty resolves into inference. The Lagrangian defines consciousness as a least-action process that minimizes informational and thermodynamic tension while maintaining symbolic and contextual coherence. Through the Qualia–Schrödinger–Collapse equation, the chapter links physical, cognitive, and mathematical realities, introducing the SPDP and PAC formalisms as bridges between algebraic complexity and epistemic dynamics. It connects this framework to the P ≠ NP separation, showing how computational hardness mirrors the boundary between accessible and latent truth. By generalizing to a high-dimensional qualia tensor field, the N-Frame Lagrangian provides a unified, field-theoretic geometry of consciousness, integrating evolution, perception, and computation within a single informational manifold.