Abstract

We present the quantum gravitational extension of the Axis Model, a framework in which spacetime, curvature, and gravitational dynamics emerge from scalar-filtered internal field configurations. The model posits that the metric gµν(x) is not fundamental, but a composite observable constructed from projected internal displacement fields va(x) and a complex scalar field Φ(x) that governs coherence. We rigorously define scalar-coherent projection operators, construct the emergent vierbein and metric, and quantize the theory via a path integral over non-geometric field degrees of freedom. In scalar-coherent domains, we derive the Einstein–Hilbert action from one-loop corrections to the effective action and demonstrate that the graviton arises as a massless spin-2 excitation of the coherent field ensemble. We show that general relativity emerges as the low-energy limit of a deeper quantum-statistical theory and derive falsifiable predictions: suppression of curvature in decoherent regions, environment-dependent gravitational coupling G(Φ), and the existence of scalar-incoherent domains (masz interiors) with degenerate projection geometry. These results elevate emergent gravity from a heuristic idea to a field-theoretically grounded framework.

Keywords: Emergent spacetime, quantum field theory,  Scalar coherence, graviton, general relativity, emergent gravity, black holes, vierbein, Einstein–Hilbert action, cosmological constant, gravitational waves.