Emergent Gravity from a Non-Abelian SU(∞) Resonance Field and Informational Vacuum Structure

This paper presents a novel framework for unifying quantum field theory and general relativity by postulating that spacetime geometry is an emergent phenomenon. We show that spacetime arises from the collective excitations of an infinite-dimensional, non-Abelian resonance field Theta^a(x) under the gauge group SU(∞). The macroscopic continuity of the vacuum is defined via the quantum mutual information of the field's ground state. Matter is interpreted as localized wave packets (solitons) whose gradients deform the effective metric. We analytically derive both the classical stress-energy tensor and Newton's inverse-square gravitational law from wave interference. Furthermore, on galactic scales, the inherent non-linearity of the field yields flat rotation curves consistent with the observed SPARC scaling relation, without invoking dark matter.