
Zero-parameter derivation of cosmological entropy S ≈ 2.26×10^122 from the electroweak vacuum expectation value through G₂ exceptional group geometry. The formula S = [(7/8)/(v_eff/M_Pl)]^(22/3) contains only algebraic factors: octonionic dimensions (7,8), automorphism group dimensions (14,7,1), and triality order (3). Berry phase holonomy correction 2π/7 = rank(G₂)×π/dim(Im(O)) from the Cartan torus yields effective cosmological coupling v_eff = v×(2π/7). Achieves 0.53% agreement with the holographic bound using only geometric structure derived from the single axiom Aut(U) ⊊ Sym(U). Establishes direct geometric bridge connecting Planck scale quantum gravity, electroweak symmetry breaking, and cosmological holographic entropy through exceptional Lie group structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/
electroweak scale, vacuum expectation value, parameter-free derivation, Ahmadov Constraint Theory (ACT), hierarchy problem, Berry phase holonomy, Cartan torus, octonions, cosmological entropy, holographic principle, exceptional geometry, zero-parameter theory, coset space geometry, G₂ exceptional group
electroweak scale, vacuum expectation value, parameter-free derivation, Ahmadov Constraint Theory (ACT), hierarchy problem, Berry phase holonomy, Cartan torus, octonions, cosmological entropy, holographic principle, exceptional geometry, zero-parameter theory, coset space geometry, G₂ exceptional group
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