nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpqu7eu2j3ytu686e0dp984rqn2kedylkz2k7qlvxvshdg67h77f3aq9e0kak (nprofile…0kak) nprofile1qy2hwumn8ghj7un9d3shjtnddaehgu3wwp6kyqpquhnx67vlf04mwtt7qrjyx47gpmtf3twz4nrfmx9lspw6rrv5gkhss5m2ru (nprofile…m2ru) - yes, and I wouldn't have used the phrase "resonance invariance", which means nothing and thus reeks of crackpot. Instead I would have referred to Pierre Cartier's paper on the "cosmic Galois group", in which he writes:
"From the physics point of view, the work of Connes and Kreimer about renormalization in quantum field theory has been deepened. The so-called “forest formula” of Zimmermann was translated into the language of Hopf algebras by Kreimer, and Connes introduced the efficient tool of Birkhoff factorization. Inspired by the theory of algebraic groups, I reformulated everything in terms of exponential of triangular matrices. Together with my student Marcus Berg, we made it a practical tool for calculation of counter-terms in renormalized field theories. At a deeper level, I was more prophetic than I had thought, and there are many reasons to believe in a “cosmic Galois group” acting on the fundamental constants of the physical theories. This group should be closely related to the group GRT₁ and might eventually help understanding of the numerical value of the fine structure constant, a long-standing puzzle."
http://www.ams.org/bull/2001-38-04/S0273-0979-01-00913-2/S0273-0979-01-00913-2.pdf
I don't understand his optimism regarding the fine structure constant, but at least he's a certified math genius so referring to him would add cred.
John Carlos Baez /
npub17u…8pd6m
2025-04-03 01:57:26
in reply to nevent1q…5zay
Author Public Key
npub17u6xav5rjq4d48fpcyy6j05rz2xelp7clnl8ptvpnval9tvmectqp8pd6mPublished at
2025-04-03 01:57:26Event JSON
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