What question did this study set out to answer?

To derive a formula for cosmological entropy from the electroweak vacuum expectation value using geometric structures.

April 3, 2026Open Access

Cosmological Entropy from Electroweak Scale: A Zero-Parameter Derivation from the Ahmadov Constraint Theory (ACT)

Key Points

To derive a formula for cosmological entropy from the electroweak vacuum expectation value using geometric structures.
Utilized zero-parameter derivation from the Ahmadov Constraint Theory.
Applied exceptional group geometry and Berry phase holonomy correction to derive expressions.
Analyzed algebraic factors involving octonionic dimensions and automorphism group dimensions.
Derivation results in cosmological entropy S ≈ 2.26×10^122.
Achieves 0.53% agreement with the holographic bound.
Establishes a link between Planck scale quantum gravity and electroweak symmetry breaking through geometric structures.

Abstract

Zero-parameter derivation of cosmological entropy S ≈ 2. 26×10¹22 from the electroweak vacuum expectation value through G₂ exceptional group geometry. The formula S = (7/8) / (vₑff/MPl) ^ (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 vₑff = 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/

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