3 years ago

The Higgs field and the resolution of the Cosmological Constant Paradox in the Weyl geometrical Universe.

Francesco De Martini

The nature of the scalar field responsible for the cosmological inflation is found to be rooted in the most fundamental concept of the Weyl differential geometry: the parallel displacement of vectors in curved spacetime. Within this novel geometrical scenario, the standard electroweak theory of leptons as well as the conformal groups of spacetime Weyl transformations is analyzed within the framework of a conformally covariant scalar tensor theory that includes the electromagnetic and the Yang Mills fields. The mass of the Higgs boson, which is considered a free parameter by the standard electroweak theory by our theory is found to be proportional to the mass which contributes to the measured cosmological constant, i.e. the measured content of vacuum energy in the Universe. The peculiar mathematical structure of the effective potential offers a clue towards a general resolution of the most intriguing puzzle of modern quantum field theory, the cosmological constant paradox for all exponential inflationary potentials and for all linear superpositions of these potentials. The results of the theory are analyzed in the framework of the recent experimental data of the PLANCK Mission. The experimental values of the average vacuum energy density in the Universe and the value of the cosmological constant, Lambda, are reported. The critical stability of the Universe is discussed.

Publisher URL: http://arxiv.org/abs/1703.09214

DOI: arXiv:1703.09214v8

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