When1: 1994
Who: Alain Connes [Connes, Alain]
What: physicist
Where: France
Detail: Phase spaces can show results of non-commutative operations {non-commutative geometry, Connes} and so represent non-commutative algebras. For example, space rotations are non-commutative. Phase spaces representing quantum effects are non-commutative. Geometry can be non-commutative if axes are different, rather than equivalent. Cross products are non-commutative. His non-commutative phase space can represent all elementary particle symmetry groups. This space has two continuous spaces, which have bosons, linked by discrete non-commutative space, which has Higgs particles, predicted to have mass of 160 GeV. Using this space defines what renormalization is mathematically, rather than it looking ad hoc, with Dirk Kreimer. Perhaps, space has fractional dimensions related to gravitation. Gravity has non-commutation of quanta and operations, and this can give rise to time, just as atomic motions give rise to temperature, with Carlo Rovelli.
Physical Sciences>Physics>History>Atomic Physics
5-Physics-History-Atomic Physics
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Date Modified: 2022.0224