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Stress-Energy Tensor T_μν and Cosmological Constant Λ from Observer Coherence in ODTOE — Overview

Тензор энергии-импульса T_μν и космологическая постоянная Λ из когерентности наблюдателя в ODTOE — обзор

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Construction of tensor source of ODTOE gravity: stress-energy tensor T_μν as functional derivative of observer action S_obs=∫B²(1−σ)Λ√−g d⁴x with respect to inv

Построение тензорного источника ODTOE-гравитации: тензор энергии-импульса T_μν как функциональная производная действия наблюдателя S_obs=∫B²(1−σ)Λ√−g d⁴x по обр

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Construction of tensor source of ODTOE gravity: stress-energy tensor T_μν as functional derivative of observer action S_obs=∫B²(1−σ)Λ√−g d⁴x with respect to inverse metric g^μν. Cosmological constant Λ as closed function of global coherence S*=0.169676. SYNC projector P_{O,SYNC}: H→C construction. Lemma L7 on idempotency P²_{O,SYNC}=P_{O,SYNC} proved via four sub-lemmas without assuming Einstein equation. Lemma L8 on conservation law ∇_μT^μν=0. Closed form χ_Λ(S*)≈0.082201 giving Ω_Λ≈0.688647 — agreement with Planck 2018 within 0.05σ without fitting. Consistency with Jacobson horizon thermodynamics.

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