Collapse Spacetime Model: Emergent Einstein Gravity and Cosmological Relaxation from OTE Correlation Statistics

We develop a statistical framework in which classical spacetime and Einstein gravity emerge from the collective organization of an ensemble of ontological transition events (OTEs). In this approach, continuum geometry is not fundamental but arises from coarse-grained correlation structure in a pre-geometric transition network. The effective metric is defined directly from the anisotropic components of the coarse-grained two-point correlation tensor, and Lorentzian signature appears as an infrared stability property of the equilibrium correlation phase. A quadratic expansion of the OTE free-energy functional yields an effective action whose leading infrared term reproduces the Fierz–Pauli kinetic structure of linearized gravity, establishing the universality of the emergent spin-2 dynamics. The Newton coupling is determined by the susceptibility of the equilibrium correlation state, while the effective cosmological constant corresponds to the residual free-energy density of the coarse-grained ensemble. Small departures from equilibrium generate a time-dependent vacuum energy and controlled dynamical deviations from ΛCDM, governed at leading order by the relaxation rate Γ and the initial deviation amplitude ∆Λ₀. This connects the microscopic OTE transition statistics directly to the effective Newton constant, the cosmological constant, and the late-time expansion history.