The Ahmadov Constant (A): A Unitary Structural Derivation of the Standard Model and the Resolution of the 26 Fundamental Parameters

This monograph introduces foundational theoretical proposal asserting that all 26 empirical free parameters of the Standard Model and ΛCDM cosmology emerge as deterministic geometric ratios of a single invariant quantity: the Ahmadov Constant (𝒜 ≡ 1). Within this framework, the quantum vacuum is redefined as a finite-information manifold possessing a total holographic capacity of approximately 10¹²² bits. From this structural premise, key physical constants are derived as necessary geometric consequences rather than empirically fitted parameters. The work presents first-principles derivations for: The Fine-Structure Constant (α ≈ 1/137.036) interpreted as a structural coupling efficiency. The W-boson terminal mass invariant, predicted at 80,357.26 MeV. The Neutrino Information Floor, establishing a terminal neutrino mass sum of 0.0617 eV. The framework also addresses major cosmological tensions: The 122-order-of-magnitude dark energy discrepancy is reformulated as a logarithmic scaling consequence of the Ahmadov Identity. Dark matter is not treated as a particle species, but instead as a geometric restoration lag (“Geometric Echo”) emerging from the structural stiffness of the manifold. By grounding physical law in a single invariant structural identity, the framework removes the need for anthropic fine-tuning arguments and presents the observable universe as a logically self-consistent structural necessity. The monograph includes specific, falsifiable predictions testable against forthcoming 2026–2027 experimental data releases from DESI, Euclid, and the LHC. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/