Temporal Quantum Cognition and Free Energy Principle
Abstract
The Free Energy Principle (FEP) provides a powerful framework for describing perception, inference, and decision making, but its conventional formulation is based on classical probability theory and instantaneous cognitive states. We propose a quantum-theoretical extension by integrating Quantum State Over Time (QSOT), Schrodinger-bridge (SB) theory, and quantum logic into a unified variational framework. Cognitive evolution is formulated as the optimization of temporally extended quantum states under a composite action consisting of a SB-inspired path divergence, thermodynamic free energy, and context-dependent quantum-logical constraints with terminal goals. Contextual inference is modeled by time-dependent non-selective Luders projections, while intentional cognitive steering is represented by an internal control field. A minimal two-state toy model illustrates how these principles jointly determine temporal cognitive trajectories. The proposed framework establishes a quantum-logical extension of the classical FEP and provides a unified variational approach to temporal quantum cognition.
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