A Higher-Dimensional Formulation of Cyclic Brane Cosmology: Black Holes as Gateways for Dynamic Vacuum Energy and a Solution to the Hubble Tension

This paper introduces a novel cosmological framework that models Dark Energy as a dynamic, evolving phenomenon induced by continuous mass and energy transfer from a three-dimensional hypersurface (M3, the "brane") into a higherdimensional spacetime (M4, the "bulk"). Within this framework, black holes act as topological transport valves (gateways). The gravitational collapse of stellar matter drives an energy flux into the bulk, generating an isotropic negative pressure that accelerates the expansion of the brane's surface. This mechanism provides a natural physical explanation for the transition to accelerated expansion at redshift z ~ 0.7 and inherently resolves the persistent Hubble tension (H0 discrepancy). By incorporating spacetime torsion and accounting for brane tension self-regulation, the model avoids unphysical singularities at the Planck scale, culminating in an eternally oscillating, non-singular universe (Big Bounce).