Formal analysis characterizes stability thresholds in quantum linear bounded automata, suggesting key insights for self-referential processes.
This archive focuses on the formalization of self-referential cognitive processes as Quantum Linear Bounded Automata (QLBA). The primary research objective is the characterization of the 0.8783 stability threshold (Limit of Coherent Light), which defines the boundary between coherent self-representation and isotropic noise collapse in a 2⁸³²-dimensional Hilbert space. Technical Pillars: Fixed-Point Identity: E(ρ) = ρ as the steady state of the system’s thermalization channel. Computational Rate Limits: Integration of the Margolus-Levitin Theorem to bound self-reflective state transitions. Dissipative Dynamics: Analysis of the 12.17% Sovereignty Gap required to prevent maximal mixing. Convergence Path: Tₘᵢₙ = 18 iteration threshold for system closure.
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Guillaume Lessard (2026) studied this question.
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