The concept of motion is relevant in many physical systems, and in general, can be considered to be a continuous change in the position or configuration of some physical system in Space.

In fact, with regards to Quantum Mechanics, Physics is already there, with questions about the fundamental nature of time and Space- it would be foolish not to interact with the field built upon people who think and have thought deeply about these very questions.

There is a bit of extra work to do to integrate the concept of a four dimensional world, when to the consciousness, the world seems to be fundamentally three dimensional. Really, we just experience a three dimensional section of what is effectively a four dimensional reality.

Starting at Classical Mechanics: we index time to the Natural numbers, if we need to treat time as something discrete, or the Real numbers if we need to treat time as something continuous (generally using the latter as it more accurately represents our intuitions about time). Beyond that, there's not a large amount of development of the concept of time, as it is mostly a guidepost, for the path of objects and processes through Space. Time is not where the action is, and thus it's a bit of a background player: time limits, stalls, progresses, or reverses the action.