A Zero-Parameter Framework for Cosmological Dynamics and Galaxy Cluster Mass Discrepancies via Structural Self-Energy Expansion (SSEE)

We present the Structural Self-Energy Expansion (SSEE-V3.6), a minimalist theoretical framework that unifies cosmological expansion and cluster dynamics using dimensionless geometric constants (π and the golden ratio Φ) without introducing free parameters or exotic dark-matter particles. The framework defines a closed algebraic system yielding an asymptotic structural viscosity factor KAL₀ ≈ 5.5214, natively reproducing the observed cosmic dark-to-baryonic matter density ratio. At galactic scales, SSEE derives an acceleration threshold a₀ = c·H₀/KAL₀ ≈ 1.186 × 10⁻¹⁰ m s⁻². On cosmological scales, the model predicts a dynamical dark-energy equation of state with w₀ ≈ −0.840 and wₐ ≈ −0.670, providing a parsimonious alignment with dynamic trends in the DESI DR2 observations. Furthermore, incorporating an empirical light-neutrino mass sum Σmᵥ = 0.085 eV, the framework structurally resolves the megaparsec cluster mass discrepancy when combined with a variable Integrated Galaxy-wide Initial Mass Function (IGIMF).