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Time played the role of a monotonically increasing evolution parameter in classical Newtonian mechanics. Einstein rejected the Newtonian concept and identified time as the fourth coordinate of a space-time four-vector. Today, scientists are considering different concepts of time as a means of resolving incompatibilities between relativity and quantum mechanics. For example, some view time as an emergent property of a system rather than a fundamental property. Alternatively, others are considering two temporal variables. The purpose of this book is to examine the role of time in modern physics.