Gravity from Classicalized Records: Emergent Decoherence and a Residual Cosmological Term

We develop a semiclassical framework in which gravity couples not to bare quantum expectation values, but to classicalized stress-energy tensors constructed from continuous measurement records. The resulting dynamics preserves covariance and conservation on average and naturally leads to an Einstein-Langevin description with a noise kernel determined by covariances of monitored observables. We compute explicitly the homogeneous-sector contribution for a free, massless scalar field in de Sitter spacetime in the Bunch-Davies state, including spatial smearing (scale ℓ) and temporal coarse-graining (scale τ). The calculation yields a positive, finite residual contribution to the background dynamics scaling as H⁶. Motivated by this structure, we interpret the monitoring rate Γ governing classicalization as an emergent, curvature-dependent quantity rather than a fixed parameter. Conservative consistency bounds and phenomenological implications for early-universe regimes are discussed.