Doubt as the Control Operator of Reality-Transition: Collective Coherence as the Manipulated Variable of the Self-Observation Fixed Point — Overview
Сомнение как управляющий оператор перехода между реальностями: коллективная когерентность как манипулируемая переменная неподвижной точки самонаблюдения — обзор
A believed reality is modelled as a Banach-stable fixed point Ψ∗ = Φ_{B,S}(Ψ∗) of the self-observation operator Φ = ι_S ∘ Ô, stability governed by one contracti
Принятая реальность («Камень») моделируется как банахово-устойчивая неподвижная точка Ψ∗ = Φ_{B,S}(Ψ∗) оператора самонаблюдения Φ = ι_S ∘ Ô, устойчивость которо
详细摘要（English）显示
A believed reality is modelled as a Banach-stable fixed point Ψ∗ = Φ_{B,S}(Ψ∗) of the self-observation operator Φ = ι_S ∘ Ô, stability governed by one contraction modulus q(B,S) = B·S+(1−B)·√(1−S²) (stable iff q < 1). The honest pivot: ∂q/∂B = S − √(1−S²) flips sign at S = 1/√2 ≈0.7071, so for a high-coherence reality an INDIVIDUAL's doubt via (1−σ) tightens the Stone rather than breaking it; the real lever is collective coherence S, driven down by the variance Var(σ_i) past threshold S_thr in a second-order transition. A falsifiable control model: input Var(σ_i), state S, plant guard q(B,S).