God, I love your explanations!
I just reread everything you've written; and it's so god damned on the nose. So much of what I take for granted is developed deeper. Thanks again for this observation, Mphlee. If anything, it just rewrites everything I was saying; but in this beautiful categorical language I never could've come up with. People have always asked me about the relationship of the compositional integral to Feynman Diagrams; and this honestly, reminds me so much of Feynman Diagrams. And I hate Feynman Diagrams (mostly because it doesn't click). How you're explaining everything clicks so much more. Again, I don't talk about this here, but you can enter in solutions to Schrodinger's equation in these compositional integrals... The way you're writing these diagrams; it just screams at me a formalism of feynman diagrams without the blowups to infinity. But maybe I'm getting ahead of myself, lol 0.0
Thank you times a thousand Mphlee. I'm understanding this even better by reading your interpretation. I think this is a very important translation that needs to be done; the compositional integral into functor/diagram language. I can't do it. But I think you can.
Regards, James
EDIT:
Just wait until you get to the last chapter of my book when I talk about fourier transforms over equivalence classes; lmfao.
I just reread everything you've written; and it's so god damned on the nose. So much of what I take for granted is developed deeper. Thanks again for this observation, Mphlee. If anything, it just rewrites everything I was saying; but in this beautiful categorical language I never could've come up with. People have always asked me about the relationship of the compositional integral to Feynman Diagrams; and this honestly, reminds me so much of Feynman Diagrams. And I hate Feynman Diagrams (mostly because it doesn't click). How you're explaining everything clicks so much more. Again, I don't talk about this here, but you can enter in solutions to Schrodinger's equation in these compositional integrals... The way you're writing these diagrams; it just screams at me a formalism of feynman diagrams without the blowups to infinity. But maybe I'm getting ahead of myself, lol 0.0
Thank you times a thousand Mphlee. I'm understanding this even better by reading your interpretation. I think this is a very important translation that needs to be done; the compositional integral into functor/diagram language. I can't do it. But I think you can.
Regards, James
EDIT:
Just wait until you get to the last chapter of my book when I talk about fourier transforms over equivalence classes; lmfao.