We extend the Quantum Memory Matrix (QMM) framework, originally developed to reconcile quantum mechanics and general relativity by treating space--time as a dynamic information reservoir, to incorporate the full suite of Standard Model gauge interactions. In this discretized, Planck-scale formulation, each space--time cell possesses a finite-dimensional Hilbert space that acts as a local memory, or \emph{quantum imprint}, for matter and gauge field configurations. We focus on embedding non-Abelian SU(3)\(_\mathrm{c}\) (quantum chromodynamics) and SU(2)\(_\mathrm{L}\)\(\times\)U(1)\(_Y\) (electroweak interactions) into QMM by constructing gauge-invariant imprint operators for quarks, gluons, electroweak bosons, and the Higgs mechanism. This unified approach naturally enforces unitarity by allowing black hole horizons, or any high-curvature region, to store and later retrieve quantum information about color and electroweak charges, thereby preserving subtle non-thermal correlations in evaporation processes. Moreover, the discretized nature of QMM imposes a Planck-scale cutoff, potentially taming UV divergences and modifying running couplings at trans-Planckian energies. We outline major challenges, such as the precise formulation of non-Abelian imprint operators and the integration of QMM with loop quantum gravity, as well as possible observational strategies — ranging from rare decay channels to primordial black hole evaporation spectra — that could provide indirect probes of this discrete, memory-based view of quantum gravity and the Standard Model.