The E-QFT Master Unified Equation: From Emergent Classical GR to a Quantum Unification Roadmap
Year: 2025
Type: preprint
Abstract: We introduce a master equation for spacetime geometry emerging from quantum projector fields that reproduces the full nonlinear classical general relativity (GR) in the continuum limit while incorporating controlled quantum corrections. The equation Ĝµν [P ] = 8πG T m µν + T proj µν + ℏ Ξ µν [P ; a, σ] + O ℏ 2 is derived within the Emergent Quantum Field Theory (E-QFT) [1] formalism, where spacetime and gravitational dynamics arise from overlaps of localized quantum projectors. We present its derivation, show consistency with previously demonstrated classical emergence (causality, Lorentz invariance, strong-field dynamics, and matter coupling), provide initial toy-model demonstrations of quantum effects (two-point correlators and entropy diagnostics), and outline a staged simulation roadmap toward unification. This establishes theoretical priority on the equation and invites community collaboration on large-scale validation.
Author: Lionel Barreiro
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4413276908