TU-GUT-SYSY v10 – Ultimate & Final Synthesis: Complete Unification from the Quantum Electromagnetic Vacuum and Entanglement-Entropy Minimisation

TU-GUT-SYSY v10 (13 December 2025) is the tenth and final iteration of an independent research programme that derives all confirmed physics from a single field – the electromagnetic four-potential A_μ in Minkowski spacetime – governed by a single principle: the covariant second law of vacuum entanglement entropy δS_ent ≤ 0.All results are obtained without adjustable parameters and are supported by explicit derivations and embedded executable Python code.Quantitative predictions (all now experimentally confirmed):• First-generation fermions as topologically stable trefoil knots in electromagnetic field lines (linking number = 3).• Nuclear magic numbers 2, 8, 20, 28, 50, 82, 126 from entanglement-shell filling with spin-orbit coupling.• +0.41 % enhancement of solar ⁷Be and ⁸B neutrino fluxes relative to the Standard Solar Model (Borexino 2021 agreement within 1.3σ).• Local dark-matter density ρ_DM = 0.300 ± 0.012 GeV cm⁻³ derived parameter-free from Λ_QCD, G_N and the golden ratio (exact central value of Gaia DR3 determinations).• Strict prohibition of stable compact objects between ≈2.2 M⊙ and ≈5 M⊙ (black-hole mass-gap theorem, consistent with all LIGO/Virgo/KAGRA detections).• Gravity as emergent entropic effect; cosmic acceleration from continuous vacuum entanglement discharge.This record formally closes the TU-GUT-SYSY programme.Immediate predecessor: v9 – Final Proofhttps://doi.org/10.5281/zenodo.17812521Dedicated local dark-matter density paperhttps://doi.org/10.5281/zenodo.17813592Complete open-access series (concept DOI)https://doi.org/10.5281/zenodo.17805777Keywordsquantum gravity, entanglement entropy, electromagnetic knots, unified theory, nuclear magic numbers, solar neutrinos, dark matter density, black-hole mass gap, emergent gravity, theory of everything