Emergent Spacetime from Field Coherence: Quantum-Tensional Geometry in the Ψ-metric Framework without Background Dynamics

We introduce a background-independent and non-perturbative framework in which spacetime geometry emerges from internal gradients of a quantum-coherent field Ψ. The field is defined over a combinatorial configuration space inspired by causal set theory and group field theory. Rather than assuming a pre-existing metric, the spacetime structure arises directly from expectation values within the field itself. The model is mathematically grounded and numerically validated, reproducing known solutions like Schwarzschild, FLRW and Kerr geometries, while predicting small but testable deviations from general relativity. These include measurable perihelion shifts, gravitational lensing anomalies and gravitational wave dispersion, within the sensitivity range of Gaia, LISA, Virgo and the Einstein Telescope. The approach bridges concepts from loop quantum gravity, AdS/CFT, causal sets and entropic gravity, offering a unified field-theoretic mechanism for the emergence of spacetime. Degenerate metric cases are interpreted as indicators of deeper topological structures.