Quantum Gravity and String Theory


Expanding Universe from Weyl Cosmology and Asymptotic Safety in Quantum Gravity

Authors: Carlos Castro

A study of the simplest Jordan-Brans-Dicke-like action within the context of Weyl geometry, combined with the findings of Weinberg’s Asymptotic Safety program in quantum gravity, leads to a plethora of nice numerical results : (i) like singling out the quartic potential from all the others; (ii) having (Anti) de Sitter space as the most natural solution; (iii) furnishing the value of the observed vacuum energy density at the Hubble scale (3/8 pi G_N R_H^2) ~ 10^{−122} M_P^4 ; (iv) and a value of {3/8 pi) M^4_P for the vacuum energy density at the Planck scale; (v) interpreting the “Bang” of the Big Bang as the singularity of the Weyl gauge field of dilations at t = 0 ushering in the era of inflation, and (vi) allowing the possibility that our universe is a Black Hole whose horizon coincides with the cosmological Hubble horizon. It is warranted to explore deeper the interplay among Weyl geometry, Asymptotic safety and Maldacena’s AdS/CFT correspondence (holographic renormalization group flow). Also relevant is the work by Wetterich on the role of dilatation symmetry in higher dimensions and the vanishing of the cosmological constant. Last, but not least, we should also consider the implications of Penrose’ Conformal Cyclic Cosmology and Nottale’s Scale Relativity Theory with the key findings of this work.

Comments: 19 Pages.

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Submission history

[v1] 2019-06-15 07:50:03
[v2] 2019-06-20 00:58:29

Unique-IP document downloads: 41 times

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