Unified Quantum Field and Gravity Theory Based on the Ψ[𝒜] Functional

This work presents a novel approach to unifying quantum field theory and general relativity using a wave functional Ψ[𝒜] defined on a space of generalized gauge connections. The theory avoids supersymmetry and extra dimensions, relying instead on topological structures, quantum geometry, and canonical quantization. Key features include a quantum resolution of singularities (Ψ → 0 at f → 0), topological dark matter, and falsifiable predictions such as photon dispersion (ξ = ±1) and corrections to the muon g–2 anomaly. The theory is compared with LQG and AdS/CFT, highlighting both its originality and current limitations. While still speculative in parts, this paper aims to stimulate further research, discussion, and independent verification.