Parallel Spacetime and Non-Singular Cosmology: Beyond Minkowski Orthogonality via Klein Drainage and Dynamic Phase Transitions

The Minkowski metric (g tr = 0), which treats space and time as mutually orthogonal axes, has introduced persistent singularities, information paradoxes, and ad-hoc dark sector hypotheses into astrophysics. This work demonstrates that space and time are not orthog-onal, but rather parallel fibers co-flowing along the curved manifold (dr ∥ c dt). Grounded in a fluid river metric, the dark horizon of a black hole is shown to be an optical depth perspective (vanishing point) corresponding to a depth of 13.8 billion light-years. Within a non-orientable Klein manifold topology, the internal canyon distance between the +x and −x axes and the external cosmic path are shown to be topologically equivalent at 27.6 billion light-years (D in ≡ D out ). The temporal accumulation (delay) of mass suspended in dilating time resolves galactic dark matter anomalies without requiring exotic dark matter particles. At the microscopic scale, the impact of the time-stream against the boundaries of protons gives rise to an internal linear-restoring, flat-square (r 2 ) harmonic potential. Furthermore, a dynamic phase transition mechanism is formulated wherein a black hole deprived of mass accretion sheds its effective mass via Klein throat drainage, returning to a nuclear-degenerate neutron star state.