Relativity and Cosmology |
Authors: Juan Nava Aroza
We present a unified cosmological modelstrictly framed in 3 + 1 spacetime dimensions based on the quantum dynamics of a non-Abelian gauge vector potential under the SU(2) symmetry group. By employing a Cosmic Triad configuration, we demonstrate that the field invariant exactly preserves macroscopic spatialisotropy, satisfying the stringent constraints of the Cosmic Microwave Background (CMB). At intermediate scales, the Savvidy quantum effective Lagrangian induces a self-regulated dynamic confinement (mass gap) that identically cancels both the effective pressure and the fluid’s sound speed (w = 0, c2s = 0), reproducing Cold Dark Matter (CDM) phenomenology without requiring exotic particlesor disrupting galaxy formation. In the late infrared limit, the freezing of the chromomagnetic vacuum naturally fixesthe equation of state at the Cosmic Constant boundary (w = −1). Finally, we show that the restoration of Conformal Invariance in extreme energy regimes, governed by the field’s Asymptotic Freedom, resolves the rigid scaleproblem in Penrose’s Conformal Cyclic Cosmology (CCC), offering a consistent physical mechanism for the analytical transition between eons.
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