On Spacetime Duality and the Astromechanics of a Dual Universe

Recent astronomical measurements of the fine structure constant revealed it varies slightly through specific directions, which could indicate a directional/anisotropic universe. A curvature in complex spacetime can be interpreted as spatial warping evolution along with its travel through the imaginary time dimension. Complex spacetime worldlines of the universe spatial factor evolution through the imaginary time are utilised to construct a potential cosmic topology. The worldlines of a positively curved universe governed by gravity alone revealed two solutions, which imply that the matter and antimatter could be evolving in opposite directions as distinct universe sides; potentially corroborating the axis of the cosmic microwave background and the directional universe. The model indicates a phase of decelerating spatial expansion during the first 9 Gyr, which is followed by a second phase of accelerating expansion; theoretically resolving the tension in the Hubble parameter measurements, with predicted density at the phase transition of 1.12>1. Additionally, it predicts a final time-reversal phase of spatial contraction leading to a Big Crunch, signalling a cyclic universe. On the spacetime duality, simulations of the spacetime continuum flux along with its predicted worldlines demonstrated the fast-orbital speed of stars due to an external momentum exerted on galaxies via curvature through the imaginary time dimension. These findings indicate the antimatter can exist as a distinct side, which influences the evolution of the universe.