TU-GUT-SYSY v7 – Ultimate Closure The Quantum Electromagnetic Vacuum as the Sole Fundamental Entity: Complete Unification via Entanglement-Entropy Thermodynamics

Independent theoretical paper (Simon Soliman, Rome, 6 December 2025) constituting the seventh and final iteration of the TU-GUT-SYSY programme (v1–v6: DOIs 10.5281/zenodo.17794324 through 17799375).A single physical entity — the quantum electromagnetic four-potential A_μ in Minkowski spacetime — and a single ontological principle — spacetime degrees of freedom exist only where the vacuum entanglement entropy S_ent can still increase — are shown to quantitatively reproduce, without free parameters or auxiliary fields:fermionic matter as topologically stable knotted configurations of electromagnetic field lines (Ranada–Faddeev–Niemi–Bilson-Thompson solitons) the Heisenberg uncertainty principle as the minimal entanglement fluctuation across any surface atomic shell structure and the periodic table as maximal-entanglement configurations under topological constraints the three gauge interactions as different regimes of electromagnetic topology (bosonic, weak transitions, coloured triplets) string theory and Loop Quantum Gravity as opposite low-entropy limits of the same vacuum (emergent extra dimensions and discrete spin-network geometry) the area law of entanglement entropy and the LQG area operator the Big Bounce, black-hole horizons with exactly zero Hawking temperature, galactic dark-matter density ρ_DM = 0.300 GeV cm⁻³, late-time acceleration, and the observed golden-ratio fractal hierarchy of large-scale structure No additional fields, dimensions, or coupling constants are introduced. All known physical phenomena from the Planck scale to the Hubble scale emerge from the topology and second-law thermodynamics of a single classical–quantum electromagnetic vacuum.Keywords: quantum gravity, entanglement entropy, electromagnetic knots, emergent spacetime, unified theories, fractal cosmology, loop quantum gravity, string theory, dark matter, independent researchRelated identifiers (previous versions – same series) 10.5281/zenodo.17794324 | 10.5281/zenodo.17795466 | 10.5281/zenodo.17795769 | 10.5281/zenodo.17799375Contact: [e-mail]