Dynamical Dark Energy from the Dynamic Abstract Sphere Theory: Prediction w₀ = −0.83 and DESI 2024 Data

Within the framework of the Dynamic Abstract Sphere (DAS) theory, dark energy arises as the potential energy of a covariant scalar field δ(xᵘ) — the 'thickness of the present moment' — near its equilibrium value δ̄₀. We derive the dark energy equation of state w(z) = −1 + 2εδ/(1+z)^α, where εδ is the slow-roll parameter at z = 0. For natural DAS parameter values (c₄ = π²/8, c₂ = 3π/128G, c₀ ~ O(100)), we obtain εδ ≈ 0.085, predicting w₀ = −0.83. The DESI collaboration (BAO Year 1 2024, combined with CMB and PantheonPlus supernovae) measures w₀ = −0.827 ± 0.061, consistent with the DAS prediction at the 0.05σ level. The prediction was derived independently of DESI data. Additional consequences are discussed: the same field δ predicts ultralight dark matter with mass mδ ~ 10⁻²² eV, and DESI Year 5 data will test the prediction wₐ = −0.34.