Emergent Quantum Gravity via Probability Inertia: A Deterministic Scalar-Tensor Framework for Objective Wavefunction Collapse and Dynamic Dark Energy

This paper presents a deterministic scalar-tensor field theory bridging quantum state reduction and emergent gravity via the Law of Probability Inertia. Wavefunction collapse is modeled via a scalar field Φ_P coupled to the stress-energy tensor trace (T = T_μ^μ). Using Euclidean instanton path integrals, we resolve UV singularities and enforce CPTP Lindblad dynamics to preserve No-Signaling. The theory incorporates a Chameleon mechanism for dark energy (ρ_Λ ≈ 10^-29 g/cm³) and derives coupling constants (g_P, η) from Bekenstein bounds. Experimental validation via macromolecular interferometry and optomechanics is proposed.