Local IR-Regularization of STDM: Geometric Resolution of the Hubble Tension Based on Phase Boundaries and Scale-Dependent Vacuum Elasticity in Cosmic Voids

Key Points

• This research aims to resolve the Hubble tension and gradient catastrophes in cosmology using an IR-regularization framework.
• Established a localized IR-regularization framework within the Special Theory of Dark Matter (STDM).
• Introduced a dynamic vacuum screening function to modulate scale-dependent vacuum elasticity.
• Utilized the Void-Engine computational tool for validation and analysis.
• Resolved the 5σ Hubble tension, aligning local measurements (73.2–74.0 km/s/Mpc) with Planck data (67.4 km/s/Mpc).
• Demonstrated stabilization of low-density regions without artificial constants or unproven dark sector particles.
• Achieved an equilibrium at H0 ≈ 69 km/s/Mpc through unique mathematical transformations.