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Quantum G Theory: Unification of Gravity and SM via Torsion in G₂ Holonomy
2026-08-31

Quantum G Theory (QGT) extends M-theory on the G₂-holonomy Joyce orbifold T⁷/(ℤ₂)³, with E₈ unfolding and self-dual Kalb–Ramond (KR) torsion. A high-energy frequency field reproduces the Standard Model masses via membrane instantons and derives the cosmological constant Λ, the vacuum density ρΛ and the dark-matter and dark-energy Ω densities from the frequencies f_g and f_Λ, yielding both ranges of the Hubble tension with the exact ratio 27/8π. Fundamental constants are reproduced to high precision (G_N to 0.07%; α = 1/137.036), and the chain EH = 2g_s, K_β = 16π/3 proves equivalent to V_g = 2c. Since ρ_QGT/ρ_Λ = 1, the hierarchy f_p⁵ = f_Λ² f_g³ × 10¹²³ removes fine tuning; KR = ER = EPR anchors entanglement in the two-sheeted torsional geometry. The volume-modulus reduction derives g_s = 2(d−1)/(d+2)|_{d=7} = 4/3, making m = τ₀/3 and |Λ₄| = g_s τ₀² theorems, and proves V_min < 0 at every critical point: the AdS₄ → dS₄ uplift is excluded from the classical sector and bounded to a finite computation.

Ссылка для цитирования:

Franco F. F. 2026. Quantum G Theory: Unification of Gravity and SM via Torsion in G₂ Holonomy. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115552

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