On local time, memory and hysteresis

I would like to propose a new view on time. Time evolution should be associated to each process that evolves. It should not be seen as an external parameter driving the equations. Instead it should be seen as a dependent variable. The dependence is from system evolution. This way, time can flow at any speed, depending on the evolution of the system.

Further, hysteresis and memory are the same thing and they are the stopping of local system time. Thus, objects (and beings) can interact over time in the sense that they are parts of a system where there is time evolution, but where them selves are in a time stopped state.

This is all a bit fuzzy, but I will try to extend the idea to be more coherent in future notes. In the mean time, here is an illustration of what I mean: