Cosmology, the science of all that exists in the universe, is an interdisciplinary field that seeks to understand the fundamental nature of the universe, that is, how it evolved from its primordial stages, including the Big Bang, to its present state, and its potential future. This quest is driven by centuries of astronomical observations and advanced physical theories. The growing number of ground-based observatories, space-based satellites, and cutting-edge tools like the Hubble Space Telescope, the James Webb Space Telescope, and gravitational wave observatories allow us to look back to the very early stages of our expanding universe, offering unprecedented insights. This book addresses several important cosmological issues, including humanity’s enduring search for other advanced civilizations in the cosmos. It highlights the importance of such cosmic exploration and provides a comprehensive understanding of the concept of spacetime within the framework of general relativity. The book introduces a cosmological model that incorporates an evolving curvature term within the standard model of cosmology and presents arguments in favor of a rotating universe, exploring the associated mechanisms of how light and matter could escape from a Kerr black hole. In addition, it delves into modern efforts by cosmologists to uncover the actual shape of the universe—its topology—using the latest data. Finally, the book examines the critical role of quantum field theory in helping theorists build an increasingly robust picture of the cosmos. The editors hope that this scientifically rich and enlightening volume will engage readers and inspire further exploration into the mysteries of the universe.