"KLEINBOTTLE" space & spring roll universes

Considering the concept of a "Klein bottle" topology extended into a four-dimensional or higher-dimensional spacetime where the number of spatial dimensions N+1 is at least four it becomes essential to explore the underlying reasons for the ongoing expansion of our universe. While many cosmologists and theoretical physicists have proposed various hypotheses, a comprehensive and definitive explanation remains out of reach. In this context, this research paper we aims to interpret the generation of Dark energy through black hole tunneling, within our innovative model, “Spring Roll Universe”. Such an astrophysical event could emit a wave similar to a microscopic Energy a localized energetic impulse propagating through the fabric of spacetime. These complex topology influenced by black hole tunneling phenomena, may become confined within different hierarchical layers of the universe's dimensional structure. This trapping could lead to an accumulation and eventual transformation of these ripples into a type of effective dark energy, contributing to the continuous acceleration of the expansion of the universe. This new proposed model seeks to integrate quantum tunneling effects related to black holes and their implications for higher-dimensional topology, aiming to shed light on the nature of dark energy and the universe's dynamic behavior.