To be honest, if you were to condense what Hegel wrote into what is sensible, at least to some degree, it would be a 20 page essay.
Hegel's dialectics on how a proposition and it's converse can form a sort of synthesis has some resonance in quantum mechanics. There exist dualities, say the old wave vs. particle duality, in QM that are similar to Hegel's thesis. As John Wheeler put it, the complement of a great truth can itself be a sort of truth. Of course, we have to remember the early quantum physicists did not not study Hegel to arrive at the new physics. Hegel was also more concerned with social reality. With category theory there is Etale and Grothendieke cohomology. This is a topology based on categories based on algebraic varieties of distinct structure, or magma/monoid nature. Quantum mechanics for a finite n number of states is CP^n and topology of flag manifolds follows. I have found that entanglement types are identified with a Morse index. It is likely that a complex generalization in Floer cohomology will lead to these sorts of categorical topology systems. LC -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/ce693378-bcdf-4036-adb4-0985eed42bbeo%40googlegroups.com.
