TY - JOUR

T1 - Mini-superspace universality and no-scale quantum cosmology

AU - Ygael, Tomer

AU - Davidson, Aharon

N1 - Funding Information:
We cordially thank Michael Lublinsky for his kind support. Tomer Ygael was supported by the Israel Science Foundation grant # 1635/16 .
Publisher Copyright:
© 2019 The Authors

PY - 2019/11/10

Y1 - 2019/11/10

N2 - We prove that, at the mini superspace level, and for an arbitrary Brans-Dicke parameter, one cannot tell traditional Einstein-Hilbert gravity from local scale invariant Weyl-Dirac gravity. Both quantum mechanical cosmologies are governed by the one and the same time-independent single-variable Hartle-Hawking wave function. It is only that its original argument, the cosmic scale factor a, is replaced by aϕ (ϕ being the dilaton field) to form a Dirac in-scalar. The Weyl vector enters quantum cosmology only in the presence of an extra dimension, where its fifth component, serving as a 4-dim Kaluza-Klein in-scalar, governs the near Big Bang behavior of the wave function. The case of a constant Kaluza-Klein in-radius is discussed in some detail.

AB - We prove that, at the mini superspace level, and for an arbitrary Brans-Dicke parameter, one cannot tell traditional Einstein-Hilbert gravity from local scale invariant Weyl-Dirac gravity. Both quantum mechanical cosmologies are governed by the one and the same time-independent single-variable Hartle-Hawking wave function. It is only that its original argument, the cosmic scale factor a, is replaced by aϕ (ϕ being the dilaton field) to form a Dirac in-scalar. The Weyl vector enters quantum cosmology only in the presence of an extra dimension, where its fifth component, serving as a 4-dim Kaluza-Klein in-scalar, governs the near Big Bang behavior of the wave function. The case of a constant Kaluza-Klein in-radius is discussed in some detail.

UR - http://www.scopus.com/inward/record.url?scp=85072302565&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2019.134945

DO - 10.1016/j.physletb.2019.134945

M3 - Article

AN - SCOPUS:85072302565

SN - 0370-2693

VL - 798

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 134945

ER -