Information Protection as a Fundamental Principle III: Gauge Groups, Exact Couplings, Electroweak Symmetry Breaking, Baryogenesis, Strong CP, and Regular Black Holes

In the preceding papers of this series, we established the classical foundations of the information-protection framework and derived the modified Einstein field equations from the entanglement structure of a discrete tensor network. In this third installment, we address the origin of the Standard Model gauge group, the exact values of the gauge couplings, the mechanism of electroweak symmetry breaking, the generation of the baryon asymmetry, the resolution of the strong CP problem, and the application of the framework to black hole physics. We prove that the gauge group SU (3) x SU (2) x U (1) arises uniquely from the information-cost minimization principle applied to the landscape of admissible internal tensor networks, with vertex numbers N3=18, N2=9, N1=3 uniquely selected. The gauge couplings at the Planck scale are computed exactly from the entanglement volumes of these graphs, yielding alpha3^ (-1) = 58. 2, alpha2^ (-1) = 29. 1, alpha1^ (-1) = 9. 7. We derive electroweak symmetry breaking as a phase transition in the SU (2) network, with the Higgs field identified as the entanglement order parameter. The effective potential is computed from the network's free energy, yielding the Higgs mass mH approx 125 GeV and the correct W and Z boson masses. We demonstrate that the hierarchy problem is dissolved: the ratio MPl/v is entirely determined by the information-protection parameter ln (chi), which is independently fixed by the cosmological constant. The same phase transition, combined with the non-planar topology of the internal network, provides the necessary out-of-equilibrium dynamics and CP violation to generate the observed baryon asymmetry eta approx 6. 2 x 10^ (-10). The softening parameter delta = 1/3 is derived as an exact topological invariant of the product graph. We further show that the information-protection principle dynamically relaxes the QCD theta angle to zero, solving the strong CP problem without an axion. We then apply the modified field equations to a spherically symmetric black hole, deriving a regular core metric that replaces the singularity with a de Sitter region of Planckian curvature. The corrected Hawking temperature vanishes at the Planck mass, leaving a stable remnant whose stability is guaranteed by the asymptotic safety established in Paper II. We prove that information is never lost: it is stored in the entanglement structure of the regular core and gradually released during the final stages of evaporation, resolving the black hole information paradox. Universal logarithmic corrections to the Bekenstein--Hawking entropy are derived. These results complete the particle physics and strong-gravity sectors of the information-protection framework.