Σ-Ω⁴ Omega Unified Physics: Connection with Fundamental Theories of Physics

This paper presents a detailed analysis of the connection between Σ-Ω⁴ Omega Unified Physics and existing fundamental theories of physics. It is shown that the theory does not contradict, but organically incorporates all known physical theories as limiting cases. Main results: 1. General Relativity: SU(496) spin networks transition to smooth spacetime at R ≫ ℓ_Pl, recovering Einstein's equations. Bekenstein-Hawking entropy is derived with the Immirzi parameter γ₀ ≈ 0.274. The Big Bounce critical density is expressed through χ: ρ_c = √3/(8πχ) ρ_Pl. 2. Newton's Laws: Recovered as a double limit (v ≪ c, R ≫ ℓ_Pl). 3. Quantum Mechanics: The Schrödinger equation emerges as a low-energy limit of SU(26) gauge theory. The modified uncertainty principle contains a correction with coefficient α = √3/(8πχ) ≈ 1.12×10⁻⁴. 4. The Standard Model: Fully embedded in SU(26) via SU(3)_C × SU(2)_L × U(1)_Y. The hidden sector SU(20)_hidden contains sterile neutrinos (∼19 MeV) and dark matter candidates (∼18 GeV, ∼55 GeV). 5. String Theory: E₈ × E₈ is naturally embedded in SU(496), and the bosonic string dimension 26 coincides with n(1). 6. Cosmology: The theory reproduces ΛCDM and makes testable predictions. A roadmap for experimental verification for 2026–2045 is presented. Contents:- connection_to_fundamental_theories_extended_en.pdf — English version- connection_to_fundamental_theories_extended_en.tex — LaTeX source (EN)- connection_to_fundamental_theories_extended_ru.pdf — Russian version- connection_to_fundamental_theories_extended_ru.tex — LaTeX source (RU) License: Universal Academic Licence v1.0 (UAL-v1.0)Commercial use prohibited without author's written permission.