Pedro Domingos

The second law: dS≥0 is not violated when entropy is conserved. If the system is coupled to an environment the LVN equation becomes the Lindblad equation, which does not conserve entropy in general, and typically increases the entropy of the subsystem.

The second law is that the entropy of the universe increases in the course of any spontaneous change (Peter Atkins, "The Laws of Thermodynamics", p. 49). So you must be arguing that nothing ever changes, making the law vacuous (and why isn't it dS=0, then?).

theories of physics are relevant within a certain window of scale/energy. The second law is useful to describe any system other than the global wavefunction of the multiverse. It doesn't mean that it's irrelevant at all.

Furthermore, technically the observable universe (any system of interest to humans is within this subsystem) is a subsystem of the universe, due to the Hubble horizon. That makes the observable universe an open quantum system, not closed, and its entropy increases over time.

As you know, what happens beyond the Hubble universe can’t possibly affect us, so no, the observable universe is a closed system, and yet it changes spontaneously and its entropy doesn’t increase. So the second law is false.

Entropy is not a local quantity, it depends on the spectrum of the quantum field density matrix. There is an interaction Hamiltonian at the boundary, causing the effective dynamics of the intra-Hubble-radius state to increase in entropy.

Trying to give you a chance to just accept that your original tweet is not quite right. I would stop digging at this point. I can do this all day... have a Master's in quantum cosmology, quantum thermodynamics, and quantum field theory.

The ever-growing amount of confusion in your tweets is quite hilarious, and invoking your credentials is the cherry on top. Have a nice day.