Towards an emergent model of solitonic particles from non-trivial vacuum structure
Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, 111 Ren'ai Road, Suzhou HET, Jiangsu, 215123, China
a e-mail: Adam.Gillard@xjtlu.edu.cn
Published online: 5 December 2017
We motivate and introduce what we refer to as the principles of Lie-stability and Hopf-stability and see what the physical theories must look like. Lie-stability is needed on the classical side and Hopf-stability is needed on the quantum side. We implement these two principles together with Lie-deformations consistent with basic constraints on the classical kinematical variables to arrive at the form of a theory that identifies standard model fermions with quantum solitonic trefoil knotted flux tubes which emerge from a flux tube vacuum network. Moreover, twisted unknot fluxtubes form natural dark matter candidates
© The Authors, published by EDP Sciences, 2017
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