Unified Brane-Valve Cosmology (UBVC–Prime): A One-Parameter Unified Geometric Model. This version (March 2026) represents the definitive one-parameter evolution of the Unified Brane-Valve Cosmology (UBVC). Building upon the foundational framework established in Version 5, this update provides a unified geometric mechanism that resolves the Big Bang singularity and the origin of late-time cosmic acceleration through a single 5D curvature scale. STRATEGIC RESEARCH SUITE UBVC–Prime functions as the central hub of a multi-tiered research program, supported by the following peer-accessible assets: * Foundational Geometry: The zero-parameter map of universal expansion is established in SRSC–0P (DOI: 10. 5281/zenodo. 18911455). * Computational Implementation: The Boltzmann-ready analytic expansion for testing against H0 and S8 data is provided in RVC–1P (DOI: 10. 5281/zenodo. 18911462). KEY ADVANCEMENTS IN THE PRIME FRAMEWORK * Geometric Unification: Both the non-singular bounce at ρ = 2λ and the late-time valve mechanism are derived from the same five-dimensional action and junction conditions. * Refined Mass Functional: Incorporates an improved ansatz for the cumulative cubic horizon-mass functional, M3 (a) = Σᵢ Mᵢ³, driving a precise energy flux across the brane–bulk interface. * Physical Stability: Defines explicit stability conditions and parameter priors that ensure a smooth, non-clustering dark-energy component with a fully determined equation of state: wDE (a) = -1 - (1/3) d ln M3 / d ln a. This document represents the latest and most complete formulation of the UBVC and serves as the reference version for ongoing review, academic citation, and industrial application.
Aaron Barry (Mon,) studied this question.