Comments by "EebstertheGreat" (@EebstertheGreat) on "What is NOT Random?" video.

  1. I may be badly misunderstanding, but I seem to remember that the increasing entropy of a classical state results from the decreasing entropy of entanglement. As particles interact, they can become entangled with each other, producing an entangled state that can only be completely described as a whole; the two particles have no independent description and can only be described together. Entangled particles have less entropy than pure particles because some of the information is shared, meaning you need fewer bits of information to describe the entire state of both particles than you would to describe each particle independently if they were not entangled. So as particles interact thermodynamically, the system containing them tends to lose entanglement entropy and gain thermodynamic entropy. Since information is conserved, these two rates must be equal, and thus the "total" entropy in the universe in this sense is actually constant. While the number of microstates satisfying the macrostate of a system's present configuration increases, the number of bits of information required to describe the quantum properties of the particles involved decreases. At heat death, particles would all be maximally entangled, and thus at minimum entanglement entropy; as such, the thermodynamic entropy of the universe could increase no further and would be at a maximum.
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