The Euclidean Spacetime Hypothesis of Consciousness: Quantum Decoupling and the Emergence of Stationary Dynamics in Dream States

A new theoretical framework maps the unusual features of REM-sleep dreams onto the mathematics of quantum cosmology. The transition from waking to dreaming can be modeled as a localized quantum decoupling between the conscious observer and the internal physiological clock. This uncoupling eliminates the standard time-evolution operator, shifting the system's dynamics from the time-dependent Schrödinger equation to a static, time-independent equation within a four-dimensional Euclidean manifold. The model offers a geometrically grounded explanation for the non-linear spatial transitions, causal dissolution, and superposition-like narratives experienced in dreams.

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Abstract

We propose a radical theoretical framework mapping the phenomenological anomalies of dream states—specifically during rapid eye movement (REM) sleep—onto the mathematical and geometric structures of quantum cosmology. Utilizing the Page Wootters (PW) mechanism and Wick rotation, we demonstrate that the cognitive transition from waking consciousness to dreaming can be formally modeled as a localized quantum decoupling between the core conscious observer system and the internal physiological clock network. This systemic uncoupling mathematically eliminates the standard time-evolution operator (iℏ∂/∂t), shifting the system’s governing dynamics from the time-dependent Schr¨odinger equation to a static, time-independent Schr¨odinger-like equation (Hψˆ = Eψ) operating within a fourdimensional Euclidean manifold. Our model provides a rigorous, geometrically grounded explanation for the non-linear spatial transitions, causal dissolution, and superposition-like narratives inherent to human dream phenomenology.