The first law of thermodynamics can not be applied to systems for which "temperature" can not be defined.
Gee, who'd-a-thunk.
""We generalized the first law of thermodynamics for systems that are not in equilibrium," Cassak said. "We did a pencil and paper calculation to find how much energy is associated with matter not being in equilibrium, and it works whether the system is close to or far from equilibrium".
What does that remind you of? Anyone?
Who said entanglement, was that you?
"Information lost in entanglement" is a measure of lack of independence, which is the same as saying the various states in a microcanonical ensemble aren't equally probable.
Energy gets stored in the information, and vice versa.
Gee, who'd-a-thunk.

Physicists give the first law of thermodynamics a makeover
Physicists at West Virginia University have made a breakthrough on an age-old limitation of the first law of thermodynamics.
www.sciencedaily.com
""We generalized the first law of thermodynamics for systems that are not in equilibrium," Cassak said. "We did a pencil and paper calculation to find how much energy is associated with matter not being in equilibrium, and it works whether the system is close to or far from equilibrium".
What does that remind you of? Anyone?
Who said entanglement, was that you?
"Information lost in entanglement" is a measure of lack of independence, which is the same as saying the various states in a microcanonical ensemble aren't equally probable.
Energy gets stored in the information, and vice versa.