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• W3099746565 startingPage "123027" @default.
• W3099746565 abstract "Connes' notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity. We suggest a simple reformulation with two key mathematical advantages: (i) it unifies many of the traditional NCG axioms into a single one; and (ii) it immediately generalizes from non-commutative to non-associative geometry. Remarkably, it also resolves a long-standing problem plaguing the NCG construction of the standard model, by precisely eliminating from the action the collection of 7 unwanted terms that previously had to be removed by an extra, non-geometric, assumption. With this problem solved, the NCG algorithm for constructing the standard model action is tighter and more explanatory than the traditional one based on effective field theory." @default.
• W3099746565 created "2020-11-23" @default.
• W3099746565 creator A5044280434 @default.
• W3099746565 creator A5047296137 @default.
• W3099746565 date "2014-12-10" @default.
• W3099746565 modified "2023-10-18" @default.
• W3099746565 title "Non-commutative geometry, non-associative geometry and the standard model of particle physics" @default.
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• W3099746565 doi "https://doi.org/10.1088/1367-2630/16/12/123027" @default.
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