Abstract

We explore an emergent interpretation of the action integral and the lagrangian in physics, and discuss its connection with the concept of ‘amount of computation’. We give an abstract definition of action, and argue (1) that it provides a general, model-independent characterization of ‘amount of computation’; and that (2) the action of physics is a special case of this general action. Much as entropy quantifies the lack of information one has about thestateof a system, action quantifies the lack of information about the system'slaw—or, equivalently, itsbehavior. In this approach, action is to dynamics what entropy is to statics.

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