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In this interview, Dr. Jack Holland, postdoctoral research assistant at the University of Oxford, speaks with Sir Roger Penrose, Nobel Laureate in Physics and renowned mathematician. They revisit and explore Conformal Cyclic Cosmology (CCC) from a fresh perspective. Although CCC has existed for some time, this conversation highlights new ideas and why the theory has faced resistance within the scientific community. Penrose gives an overview of CCC, which suggests the universe undergoes infinite cycles. Each cycle begins with a Big Bang and expands into a cold, distant future before transitioning into a new cycle. He explains key concepts, such as the suppression of Weyl curvature, which sets the Big Bang apart from black hole singularities. He also discusses potential evidence, like gravitational wave signals and Hawking points, that could support CCC. A notable part of the conversation involves communication between cosmic aeons. Penrose considers the possibility of receiving messages from intelligent civilizations before the Big Bang and sending signals into the future. This links to the Fermi paradox—why we have not detected signals from advanced civilizations. Penrose shares his journey in developing CCC, the time it took to accept it, and why it challenges conventional cosmology. He explains why CCC remains debated and intriguing to this day.