I have little training in physics or mathematics beyond HS and early undergrad long ago so apologies for any fundamental misconceptions and/or sloppy use of terms.
As I understand, the flow of time that we perceive is somehow related to or arising from the increasing entropy of the universe. If this is correct, is there any sense in which the flow of time varies locally when local systems evolve toward equilibrium at different rates?
My garage comes to mind as an example. After I clean it, it evolves to near thermal equilibrium within a day or two while the rest of my house takes much longer. If I were to synchronize clocks and place them in my living room and in my garage would they remain synchronized?
