Noncommutative Yang-Mills and Noncommutative Relativity: A Bridge Over Trouble Water
Lionel Carminati, Bruno Iochum, Thomas Schucker (Marseille)
TL;DR
This paper reviews Connes' approach to Yang-Mills theories and explores a noncommutative extension of general relativity, linking it to particle mass predictions within a specific mass range.
Contribution
It introduces a noncommutative geometric framework connecting Yang-Mills theories and gravity, with implications for Higgs and top quark mass predictions.
Findings
Noncommutative extension of gravity restricted to flat space-time.
Predicted top quark mass between 172 and 204 GeV.
Predicted Higgs mass between 188 and 201 GeV.
Abstract
Connes' view at Yang-Mills theories is reviewed with special emphasis on the gauge invariant scalar product. This landscape is shown to contain Chamseddine and Connes' noncommutative extension of general relativity restricted to flat space-time, if the top mass is between 172 and 204 GeV. Then the Higgs mass is between 188 and 201 GeV.
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