Version 4 This version incorporates all corrections following three independent peer reviews. Version 2 contained an equation of state implementation bug producing radii 35-40% too large. Version 3 reported the bug in Version 2, but was otherwise unchanged. Version 4 is the final peer-reviewed version with all corrections applied and validated. Key corrected values: For the canonical 1.4 solar mass neutron star, the radius is 11.05 km under standard general relativity and 11.28 km with RDT modifications (alpha = 0.30), representing a 2.1% increase. This agrees with literature values from Douchin and Haensel (2001) within 5.6%, excellent for theoretical predictions. RDT corrections are consistent across different equations of state, showing approximately 2% radius increases for masses between 1.0 and 1.6 M☉. This paper extends Recursive Dimensionality Theory to neutron star densities, testing whether the same geometric framework used for solar neutrinos and white dwarfs remains valid at nuclear densities eight orders of magnitude higher. Using realistic equations of state (SLy4 and APR) and relativistic stellar structure calculations, we find that RDT produces modest, systematic radius increases while raising maximum masses enough to accommodate heavy pulsars. The fractional shifts are nearly identical across different nuclear models, suggesting RDT acts as a geometric correction rather than modifying nuclear physics. The dimensional opening self-regulates at high density, preventing runaway behavior. Results are validated against established literature and provide falsifiable predictions for NICER observations and gravitational wave measurements. Complete reproducible code and corrected data tables included.