Sleep as Suspension of Localization

Consciousness is a process of selection, collapsing potential states into a single coherent narrative. The Ze formalism models this with a cognitive localization parameter, Γ_Ze. Wakefulness (Γ_Ze ≫ 1) involves rapid collapse for stable, logical thought. Sleep (Γ_Ze → 0) suspends this localization, allowing the brain to maintain superpositions of memory and meaning, with dreams arising from interference patterns. Psychedelics reduce Γ_Ze consciously, anesthesia nullifies it artificially, and schizophrenia involves its dysregulation. Sleep's primary function is offline recalibration of cognitive probability amplitudes, aiding memory integration, emotional regulation, and creative insight. The framework redefines sleep as an active operation for cognitive flexibility and waking consciousness.

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Abstract

Consciousness is fundamentally a process of selection, a continuous "collapse" from a manifold of potential states into a singular, coherent narrative. This article introduces the Ze formalism, a theoretical framework that models this process through a cognitive localization parameter, Γ_Ze. We posit that the critical distinction between wakefulness and sleep is not the presence of consciousness, but the suspension of this localization mechanism. During wakefulness ( Γ_Ze ≫ 1 ), the cognitive system enforces rapid, frequent collapse, yielding a stable, logical stream of thought. Sleep (Γ_Ze → 0), conversely, is a physiologically controlled state of suspended localization, where the brain acts as a "quantum eraser" for cognitive "which-path" information. This allows for the maintenance of coherent superpositions of memory and meaning, with dream phenomenology arising from the resulting interference patterns. The model provides a unifying lens for altered states: it frames psychedelics as conscious Γ_Zereduction, general anesthesia as its artificial nullification, and psychiatric conditions like schizophrenia as its pathological dysregulation. We argue that sleep’s primary function is the offline recalibration of cognitive probability amplitudes c_i, facilitating memory integration, emotional regulation, and creative insight. The Ze formalism thus redefines sleep from a passive state of rest to an active, essential operation for maintaining cognitive flexibility and the integrity of waking consciousness.