Manifestly Covariant Formulation of the Quantum Viscoelastic Lattice: Emergent Gauge and Gravity Fields from a 4D Cosserat Vacuum

We present a manifestly covariant, four-dimensional effective field theory (EFT) extension of the Quantum Viscoelastic Lattice (QVL) model, modeling the spacetime vacuum as a 4D micropolar Cosserat continuum. Under the assumption of this continuous micro-structured vacuum, we demonstrate that both Einstein-Cartan gravity and non-Abelian Yang-Mills gauge structures emerge naturally as effective macroscopic field equations. By applying the Palatini variational principle to the quadratic couple-stress energy of the lattice, we avoid higher-derivative Ostrogradsky ghosts and establish a mathematically consistent framework where gauge fields arise as rotational elasticexcitations. We provide an explicit derivation showing that these rotational excitations generate the physical stress-energy tensor required to curve the macroscopic metric. We introduce a dynamical vector order parameter to model spontaneous symmetry breaking, rigorously reducing the principal SO(3, 1) bundle to an SU(2) structure, thereby generating the geometric precursor to the electroweak sector. Furthermore, the Aharonov-Bohm phase is derived as geometric Cartan holonomy, and magnetic flux quantization is shown to follow directly from the topological structure π1(U(1)) = Z. Finally, we establish falsifiable phenomenological predictions linking the emergentgauge coupling to the underlying microscopic lattice spacing Λ.