TY - GEN

T1 - Wheeler–DeWitt quantization of gravity models of unified dark energy and dark matter

AU - Guendelman, Eduardo

AU - Nissimov, Emil

AU - Pacheva, Svetlana

N1 - Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2018.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms of auxiliary antisymmetric tensor gauge fields. Here gravity couples in a non-conventional way to two distinct scalar fields providing a unified Lagrangian action principle description of: (i) the evolution of both “early” and“late” Universe - by the “inflaton” scalar field; (ii) dark energy and dark matter as a unified manifestation of a single material entity - the “darkon” scalar field. A physically very interesting phenomenon occurs when including in addition interactions with the electro-weak model bosonic sector - we obtain a gravity-assisted dynamical generation of electro-weak spontaneous gauge symmetry breaking in the post-inflationary “late” Universe, while the Higgs-like scalar remains massless in the “early” Universe. Next, we proceed to the Wheeler–DeWitt minisuperspace quantization of the above models. The “darkon” field plays here the role of cosmological“time”. In particular, we show the absence of cosmological space-time singularities.

AB - First, we describe the construction of a new type of gravity-matter models based on the formalism of non-Riemannian space-time volume forms - alternative generally covariant integration measure densities (volume elements) defined in terms of auxiliary antisymmetric tensor gauge fields. Here gravity couples in a non-conventional way to two distinct scalar fields providing a unified Lagrangian action principle description of: (i) the evolution of both “early” and“late” Universe - by the “inflaton” scalar field; (ii) dark energy and dark matter as a unified manifestation of a single material entity - the “darkon” scalar field. A physically very interesting phenomenon occurs when including in addition interactions with the electro-weak model bosonic sector - we obtain a gravity-assisted dynamical generation of electro-weak spontaneous gauge symmetry breaking in the post-inflationary “late” Universe, while the Higgs-like scalar remains massless in the “early” Universe. Next, we proceed to the Wheeler–DeWitt minisuperspace quantization of the above models. The “darkon” field plays here the role of cosmological“time”. In particular, we show the absence of cosmological space-time singularities.

KW - Dark energy

KW - Dark matter

KW - Electroweak symmetry breaking

KW - Non-Riemannian volume-forms

KW - Wheeler-DeWitt quantization

UR - http://www.scopus.com/inward/record.url?scp=85055089703&partnerID=8YFLogxK

U2 - 10.1007/978-981-13-2179-5_7

DO - 10.1007/978-981-13-2179-5_7

M3 - Conference contribution

AN - SCOPUS:85055089703

SN - 9789811321788

T3 - Springer Proceedings in Mathematics and Statistics

SP - 99

EP - 113

BT - Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017

A2 - Dobrev, Vladimir

PB - Springer New York LLC

T2 - International Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017

Y2 - 19 June 2017 through 25 June 2017

ER -