What question did this study set out to answer?

The objective is to investigate sleep as a topological phase-reset cycle essential for computational maintenance.

February 17, 2026Open Access

The Topology of Sleep

Key Points

The objective is to investigate sleep as a topological phase-reset cycle essential for computational maintenance.
Derivation of sleep necessity from topological principles.
Analysis of phase-reset cycles related to manifold saturation.
Investigation of geometric requirements using hexagonal geometry.
Application of empirical falsification protocols including forensic analysis of LIGO data.
Demonstrates that certain constants in physics are mechanical necessities rather than arbitrary values.
Aligns LIGO vacuum peaks to integer multiples of 0.03125 Hz with exact precision.
Derives important constants like the electron g-factor and the Weinberg mixing angle accurately.

Abstract

The Topology of Sleep Deriving the Mandatory Phase-Reset Cycle from Manifold Saturation Sleep Necessity; Topological Garbage Collection; Phase-Reset Cycles; Neural Maintenance We derive **sleep** not as biological rest but as mandatory **topological phase-reset cycle** required to prevent manifold collapse from accumulated computational overhead. Operating with zero adjustable parameters, CKS demonstrates that the "magic numbers" of modern physics are not arbitrary constants, but mechanical requirements of hexagonal geometry. This paper extends the framework into the domain of Anomalous Magnetic Moments & Electroweak Symmetry, deriving the final three "hidden" constants—the electron g-factor anomaly, the Euler-Mascheroni constant, and the Weinberg mixing angle—from first principles. Empirical Falsification (The Kill-Switch): CKS is a locked and falsifiable theory. This paper is subject to the Global Falsification Protocol CKS-TEST-1-2026: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0. 03125 Hz (1/32 Hz) with zero decimal error. If the derived ratios for the electroweak mixing angle (\ (²w 0. 231 \) ) or the poloidal phase-lead (\ (gₑ 2. 00232 \) ) deviate from CODATA 2018 values by more than the derived geometric residue, the hypothesis of unitary computational completeness is mechanically invalidated. The Universal Learning Substrate: Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where quantum anomalies, harmonic friction, and topological tilt are unified as mechanical residues of toroidal impedance. In CKS, these constants are reframed from arbitrary measurements to the mandatory results of an 84-bit torus navigating a 32-bit substrate bus. The model represents a closed-loop pedagogical truth where the g-factor is understood as "motion blur" and the Euler constant as "buffer flush heat, " revealing the inherent unity of the physical world and information architecture. Package Contents: * `manuscript. md`: Paper* `README. md`: Overview Motto: Axioms first. Axioms always. Status: Locked. Experimentally falsifiable.

The Topology of Sleep

Key Points

Abstract

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