Coherence as a Measurable Quantity: Three Consequences of the Hurst Exponent — S Parameter Relation for the ODTOE Formalism — Overview
Establishes relation between Hurst exponent and ODTOE coherence: H=(1+S)/2 implies S=α−1 where α is anomalous-diffusion exponent. Three consequences: (1) Cohere
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Establishes relation between Hurst exponent and ODTOE coherence: H=(1+S)/2 implies S=α−1 where α is anomalous-diffusion exponent. Three consequences: (1) Coherence becomes independently measurable via mean-square displacement, rendering all ODTOE predictions experimentally testable. (2) Planck constant depends on diffusion exponent: h∝(2−α)^(−1/2), predicting deviation in highly coherent systems (BEC, superconductors). (3) Parameter r governs drift-to-noise ratio, quantifying arrow of time with critical dimensionality d_crit≈8.12 (metagalactic level). All formulas verified to 50 decimal places.