Finally causality: I disagree. Example: We have a pool table and 16 balls (number 1 to 15 and the cue ball as normal to many games). Causal relationship: In a shot, ball7 hits ball8 and that causes ball8 to roll across the table for some distance D.
This may be where our problem lies. You say ball 7 hits ball 8, but how do you know? I can easily think of a reference frame where ball 7 is at rest and ball 8 hits ball 7.
This is exactly what Newton (brilliant man that he was) was describing in his third law. There is no causality in a specific event.
Newton’s Third Law: For every action, there is an equal and opposite reaction.
Causality only applies to space and time separated events. There is no causality for a single event. There is symmetry between pusher and pushee.
Instead let’s consider ball 7 hits ball 8, which travels for a distance and hits ball 9. Now we can assign causality. Reverse time and ball 9 hits ball 8, which hits ball 7; a reversal of causality.
The second part of your question has to do with the Boltzmann H theorm. I will get back to you on that.