Numerical Validation of the Time-Density Aperture

AbstractThis fourth paper concludes the initial research cluster regarding spacetime geometry.Building upon the Time-Density Invariant introduced in Paper I, the deterministic NutationalDynamics established in Paper II, and the Geometric End-States postulated in PaperIII, this document presents the mathematical foundation for numerical validation. Wedemonstrate that the collimation of pulsar emissions is not a consequence of magnetosphericinteractions but a mandatory geometric result of a potential time-density gradient. Theframework presented herein serves as the basis for future simulations of galactic rotationcurves without the requirement of Dark Matter.