Emergent Spacetime from Disentanglement Dynamics

Abstract
We propose a phenomenological framework in which spacetime geometry, gravitational
dynamics, and classical emergence are parametrized by the irreversible evolution of quantum
entanglement. The central object is a scalar constraint field Γ(x) characterizing the
local coarse-grained rate of quantum correlation suppression. Introducing dimensionless
potential φ ≡ Γ/Γ0 relative to cosmic baseline Γ0 ≈ H0, we show that spatial gradients
reproduce Newtonian gravity while deviations from unity define gravitational time dilation.
The framework recovers GPS timing (< 0.3% error) and Hawking temperature as consistency
checks. We reinterpret cosmological constant Λ ∝ Γ20
, reframing (not solving) the
vacuum catastrophe. Beyond phenomenology, we develop: (i) variational action principle
for φ-dynamics, (ii) path toward tensor generalization and covariant field equation, (iii)
speculative microscopic origin of Γ0 from horizon entanglement, (iv) Planck-scale quantum
fluctuations predicting stochastic gravitational noise, and (v) multiple experimental tests
including gravitational decoherence (gh/c2 ∼ 10−12) and neutron interferometry. This establishes
a research program connecting entanglement renormalization, modular flow, and
emergent gravity with clear theoretical and experimental directions.