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Recursive Self-Similarity and a Theory of Consciousness in ODTOE: A Hierarchy of Observation from Microtubules to the Collective Field — Overview

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How ODTOE's recursive self-similarity explains the brain's hierarchical organization (the Hameroff–Penrose programme) and yields a theory of consciousness. Cons

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How ODTOE's recursive self-similarity explains the brain's hierarchical organization (the Hameroff–Penrose programme) and yields a theory of consciousness. Consciousness is identified with the stable fixed point of the self-observation loop Ψ*=Φ(Ψ*) (existence via Banach/Schauder). The nervous-system hierarchy (microtubules → neurons → assemblies → cortex) is a φ-fractal embedding of Φ across recursion levels d, with inter-level entanglement decaying as φ^−|Δd|. Penrose objective reduction = one half-step ι of the cycle Φ=ι∘Ô (phase ratio π/2); Friston's free-energy principle = the Ô component. Falsifiable predictions: failed-binding fraction → (π−3)²≈0.0200, OR phase ratio = π/2.

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