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The Unified Self-Observation Operator: From Physical Constants Through Toroidal Geometry to Language Structure — Overview
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The unified self-observation operator Ψ∗ = Φ(Ψ∗) as a generative principle from which the structures of three seemingly unrelated domains are derived: physical
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The unified self-observation operator Ψ∗ = Φ(Ψ∗) as a generative principle from which the structures of three seemingly unrelated domains are derived: physical constants, toroidal geometry, and natural-language architecture. π is the invariant of the operator's continuous spectrum (the phase period of cyclic processes); the golden ratio φ governs discrete recursion. A synthesis of 39 studies, including the 3-6-9 pattern and the architecture of alphabets as projections of the strange loop.