The Dimensional Invariant: Sleep Duration, Sleep Topology, Oxidative Cost, Attractor Basin Depth, and Long-Term Survival Across the Entire History of Life

March 18, 2026Open Access

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Key Points

The research explores how sleep duration and topology relate to survival across evolutionary history, guided by a geometric framework.
Theoretical derivation of sleep topology and duration costs shown through geometric predictions (S + N + G → R).
Identification of predictions regarding metabolic costs and survival related to depth of basins and sleep architectures.
Integration of previous findings in cancer biology and other disciplines to establish a cohesive framework.
Predictions indicate that older lineages exhibit lower sleep costs and deeper basin depths, enhancing survival.
Five distinct sleep topologies are identified, corresponding to different organism types and their metabolic architectures.
Oxidative costs are characterized as fundamental in navigating sleep needs, shaping the feasibility of various sleep topologies.

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This theory paper predicts sleep duration and geometry effects on survival across all life forms, suggesting universal patterns.

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Eric Robert Lawson (2026) studied this question.

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