NCG papers

Both Connes and Barrett have new papers out on NCG and the Standard Model.

Connes mentions Barrett’s paper in his paper. He appears to have ironed out a few flaws in the SM picture, but does not claim to explain things such as the number of generations (which we all know comes from orbifold Euler characteristics) or precise particle masses.

Barrett similarly acknowledges the independence of Connes’ work in his paper. Both papers claim to have reached some understanding of neutrino mass generation, based on Connes’ SM. They conclude that one must consider an internal space of signature 6 (mod 8) rather than 0.

Connes considers hopeful possibilities in the conclusion: … or even that the fundamental theory has selected a preferred scale and is a fully unified theory at the operator theoretic level (ie. a kind of spectral random matrix theory where the operator D varies in the symplectic ensemble).

1 Response so far »

  1. 1

    L. Riofrio said,

    That is a huge step if you can predict the number of generations. We are making progress in explaining things, though not always in the ways others excpected. Thanks for your comments too.


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