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Brownian Motion as a Manifestation of Observational Architecture: Hurst Exponent, Coherence, and the Golden Ratio — Overview
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Proposes interpretation of Brownian motion as manifestation of observational architecture within ODTOE. Establishes relation between Hurst exponent H and cohere
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Proposes interpretation of Brownian motion as manifestation of observational architecture within ODTOE. Establishes relation between Hurst exponent H and coherence S: H(S)=(1+S)/2. Formula reproduces two experimental limits: at S=0 (complete decoherence) H=1/2—classical Brownian motion; at S=1 (complete coherence) H=1—ballistic determinism. Scaling factor between observation levels equals φᴴ, where φ is golden ratio. Sixth role of spiral gap (π−3)² identified: governs stochasticity-drift transition. Numerical verification on synthetic trajectories shows 0.55% mean error.