Cosmological Unification in T^6/Z_3: Resolving Dark Sector Dynamics and the Hubble Tension via Kähler Moduli Relaxation

We present a unified geometric framework within the compact 6D orbifold T^6/Z_3 that simultaneously accounts for Dark Energy, Dark Matter, and the resolution of the Hubble Tension. Moduli stabilization is dynamically achieved via a 3-form flux background G_3 governed by the Gukov-Vafa-Witten superpotential. Dark Energy emerges as the vacuum potential of the bulk modulus T_b, while Dark Matter is identified with gauge-singlet harmonic forms localized at the 27 resolved A_2 singular points. Furthermore, we demonstrate that the discrepancy between early-time (CMB) and late-time (Supernovae) measurements of H_0 is a natural consequence of the dynamical relaxation of the local blow-up modulus T_s(t) relative to the bulk volume T_b, removing the need for ad-hoc modifications to standard cosmology.