Friday, 24 August 2018

quantum gravity - Is the 125 GeV Higgs boson some kind of a "almost-commutative graviton" at the electroweak scale?


The clumsy "almost-commutative graviton" is provocative. I use it on purpose, to ask two questions in one :




  • Is the observation of only one Higgs and no supersymmetric particle below 8 TeV (up to now) a sufficient evidence to substantiate the almost commutative spectral model?





  • Can physicists consider now this kind of models pioneered by Connes and Chamseddine to be an effective (physical) and not only formal tentative unification of gravitation and Yang-Mill-Higgs interactions?




Recent developments of the almost-commutative spectral model regarding the Higgs boson and its mass:



Last comments:


(motives for "graviton" as a metaphore and "almost commutative" as a pedagogical reminder)



  • I know that graviton is a spin 2 gauge boson associated to the gravitational field in a tentative quantification of general relativity. In the framework of Quantum Field Theory it is thus an object independant a priori from the Higgs that is a scalar boson responsible for masses of elementary particles from the Standard Model. Nevertheless I remind that Higgs interaction can be considered as derivated from gravitation in the noncommutative geometric setting (following Thomas Schücker).

  • The adjective almost-commutative has a precise technical meaning but I use it also in my question to underline the fact that in any theoretical framework non-commutativity is a necessary but not sufficient tool to describe quantum phenomena, therefore it is clear that gravitation has not been quantized yet!





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