Four-Dimensional Bulk Inflation as a Mechanism for Cosmic Acceleration: A Geometric Resolution of the Hubble Tension and the Dark Energy Problem

Geometric mechanism where 4D bulk inflation pressure drives cosmic acceleration via r³ surface area cancellation in force equation, producing uniform acceleration everywhere without distance dependence. KEY RESULTS: • Derives Hubble's law from first principles (not assumed) • Predicts wₑff=-0. 75 → -0. 827±0. 06 (exact DESI 2024 match) • Resolves Hubble tension: local Dₙow > CMB historical average • No free parameters beyond Ω_Λ=0. 685 Testable predictions: evolving dark energy, CMB Sachs-Wolfe modifications, LISA gravitational wave signature, H (z) drift at low redshift. Extends braneworld cosmology with dynamically inflating bulk dimension. Disclosure: AI assisted drafting/formatting. Core 4D bulk pressure r³-cancellation mechanism original to author.