Bitcoin: A Non-Continuous Time System

In this paper, we explore the concept of time within Bitcoin's blockchain, which operates as a non-continuous time system. We focus on three core aspects that contribute to Bitcoin's time discontinuity: the random and distributed block generation process, the occurrence of forks and rollbacks that disrupt the linear progression of the blockchain, and the nature of transactions within this system, which are subject to potential reordering or invalidation. These elements combine to create a time structure in Bitcoin that is fundamentally different from the continuous, linear time systems typically seen in traditional computing and physics.