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

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.