Contextuality as a unifying principle

Summer has been a combination of lazy and busy (but lazy busy or busy lazy if that makes any sense?) so I haven’t posted in awhile. But my latest FQXi essay contest entry has recently been posted. In it I use a combination of domain theory and category theory (with a smidgen of topos theory thrown in) to argue that quantum contextuality is behind the ever-increasing entropy of the universe. In the process I have hinted at the development of an algebraic quantification of contextuality. While the ratings don’t seem particularly high, there were a couple of halfway decent comments. I’m hoping to put together a longer version of this essay with more rigorous arguments soon, but I’d be curious to hear from anyone who has ideas in this regard, particularly regarding the construction of an algebra that describes contextuality.

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