What exactly does the proposed 4th law of thermodynamics mean?

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Every non-equilibrium state with defined entropy requires a state space metric that aligns with the steepest entropy ascent during irreversible time evolution while adhering to conservation constraints. This concept is distinct from the established laws of thermodynamics, suggesting it is an independent conclusion rather than a direct consequence of the 0th, 1st, 2nd, or 3rd laws. A reference to a relevant study is provided, highlighting extensive background research over the past 40 years. The discussion invites further expert clarification on the implications of this finding. Overall, the topic emphasizes the evolving understanding of thermodynamic principles in non-equilibrium systems.
DeathByKugelBlitz
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'Every non-equilibrium state of a system or local subsystem for which entropy is well defined must be equipped with a metric in state space with respect to which the irreversible component of its time evolution is in the direction of steepest entropy ascent compatible with the conservation constraints.'

I understand the first 4 laws but this one is new
 
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Do you have a reference for your quote?
 
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Wow, this is fresh stuff with a lot of background research from the last 40 years. It looks like it is not a consequence of the 0th (transitivity of thermodynamic equilibrium and empiric/operational definition of temperature), 1st, 2nd and 3rd laws of thermodynamics, but an independent conclusion. I can't say more right now, I let some expert offer an explanation of its meaning and relevance.
I thank you for bringing it up.
 
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