Earlier quoted context omitted.
the thermodynamics (and specifically the notion of "heat") is just statistical/aggregate description of the interaction between the forces which are subject to the same entropic description like the entropic gravity and obey the same 2nd law. It is not surprising once you see that "minimal action principle" is just the 2nd law ("entropy evolves along the gradient") expressed using the language of Lagrangian in mechan…
Your statements are incompatible with classical physics developed for centuries and enjoying high level of acceptance. The concept of thermodynamic entropy brings nothing to understanding of mechanics. There is no time in thermodynamic theory, thermodynamic entropy is not a function of time so there is no possibility of deriving equations of motion of mechanics from the laws of thermodynamics. You may need to study m…
What about you?
>there is no possibility of deriving equations of motion of mechanics from the laws of thermodynamics
i didn't say that. It actually works the other way - thermodynamics is derivable as an aggregation from the laws of motion. And thermodynamical entropy is just a facet of the entropy (which in general can be defined using relative volume in the space of states of possible configurations of the system for a given values of generic coordinates)