Higgs Boson, Magnetic Monopoles and Exotic Smoothness in 4D

2014
4 pages
Published in:
  • JPS Conf.Proc. 1 (2014) 013019
Contribution to:
  • Published: 2014

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Abstract: (Physical Society of Japan)
We present a model where three incompatible smoothness structures on open 4-manifolds are partly responsible for different physical effects, like: i. the appearance of magnetic matter and Higgs field as non-perturbative solutions of Yang–Mills theory, ii. in cosmology: the inflation, its speed, finite time of the acceleration and the Higgs mass, iii. the perturbative quantum matter as in the standard model of particles. The corresponding 3 smoothness structures are: i. exotic R4\mathbb{R}^{4}s with its exotic end S3×RS^{3} \times \mathbb{R}, ii. the fake S3×Θ(810)RS^{3} \times _{\Theta (8_{10})}\mathbb{R} of Freedman, iii. the standard R4\mathbb{R}^{4}. It is conjectured that the issue of quantum gravity relies on the incompatibility of the structures.
  • exotic R4\mathbb{R}^4
  • exotic S3S^3
  • exotic S3×RS^{3} \times \mathbb{R}
  • magnetic monopoles
  • topological Higgs mass
  • solution: nonperturbative
  • Higgs particle: mass
  • matter: magnetic
  • gauge field theory: Yang-Mills
  • magnetic monopole