Origin of the Observer in ODTOE: Existence Theorems for the Self-Observation Fixed Point — Overview

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Resolution of the base ODTOE paper's "first-priority open problem": sufficient conditions for the existence (and, under contraction, uniqueness) of the fixed point Ψ*=Φ(Ψ*). Schauder's theorem (existence without uniqueness) and Banach's theorem (uniqueness under contraction). The explicit contraction constant q_contract(B,S). An anticircularity audit confirms that the definition of Φ does not presuppose Ψ*.