Imagine every world line that has ever existed woven into a single ribbon and given a half-twist. This universe is not a sphere, a balloon, or a repeating cycle. Time becomes distance along the ribbon, beginning an ending meet at one inverted seam, while the living present lies opposite. Every particle becomes a thread, stars become bundles, civilizations become knots, where information briefly grows dense enough to remember itself. Interactions create crossings, crossings create memory. Memory creates structure, and structure creates observers. Walk around this manifold once and return mirrored. Walk around twice and return aligned. The universe does not repeat, it inverts. Within it, the sun, earth, and moon remain three distinct world lines. Their braid oscillates locally while the whole configuration advances through topology. Life appears where the fabric folds through itself. Memory helps hold the twist together. For an instant, the universe notices its own shape. It is not merely expanding through space-time, it is tracing out a topology.