We present a two-time (2T) framework for cosmology that introduces a multi-temporal (MET) signature, a projection-fan operator selecting emergent one-time axes, and the Simultaneous Contraction–Eversion / Expansion–Eversion Loop (SCE/EEL) mechanism. This construction preserves stability and causal consistency while yielding observational handles. In the homogeneous sector, the theory reduces to effective Friedmann-like dynamics with corrections governed by the projection curvature ζ and eversion strength ε. These corrections reframe persistent tensions—including the Hubble parameter discrepancy and the coincidence problem—as projection artifacts of a two-time geometry. An experimental program is outlined, beginning with GPS-disciplined oscillator networks (Tier-0 testbed in Olathe, Kansas) and extending to distributed interferometry and gravitational-wave probes. The framework recovers general relativity in the appropriate limit and embeds the arrow of time in fundamental dynamics through eversion cycles. In this way, the 2T framework offers both a self-contained cosmological model and a first step toward a more general multi-temporal (∞T) outlook.