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Infinity Theories explores the concept of infinity across mathematics, physics, and cosmology, bridging abstract mathematical concepts with their potential physical implications. The book investigates whether infinity is merely a mathematical tool or a physical reality.
One intriguing aspect is the role of infinity in physical theories, such as the singularity at the center of black holes and the infinite energy densities predicted by some quantum field theories. The book delves into the debate surrounding the possibility of an infinite universe, examining its implications for concepts like the multiverse and the arrow of time.
The book is structured in three main sections: mathematical foundations, the role of infinity in physical theories like general relativity and quantum mechanics, and the possibility of an infinite universe. It emphasizes the distinction between mathematical abstraction and physical reality, cautioning against the uncritical application of mathematical infinities to physical phenomena. It uses data from astronomical surveys, cosmological models, and theoretical physics research.