Tensor Structure of Gravity in ODTOE — Overview
Building tensor layer between causal structure and full Einstein tensor law. Metric tensor g_μν(C;O) as observer-correlator: inner product of gradients of self-
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Building tensor layer between causal structure and full Einstein tensor law. Metric tensor g_μν(C;O) as observer-correlator: inner product of gradients of self-observation map Φ=ι∘Ô. Covariant derivative ∇_μ as limit of Φ-iteration commutator; Levi-Civita Christoffel symbols recovered. Riemann curvature tensor R^ρ_σμν as non-commutativity measure of Ô along two directions. Ricci tensor, scalar R, Einstein tensor G_μν built by standard contractions. Kinematic Bianchi identity ∇_μG^μν=0. Kerr solution derived as spherically-axial ansatz with vortex SYNC component. 50-digit verification reproduces Mercury perihelion shift Δ=42.99 arcsec/century.