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Trace dynamics, and a ground state in spontaneous quantum gravity.
- Source :
-
Modern Physics Letters A . 2/10/2021, Vol. 36 Issue 4, pN.PAG-N.PAG. 14p. - Publication Year :
- 2021
-
Abstract
- We have recently proposed a Lagrangian in trace dynamics to describe a possible unification of gravity, Yang–Mills fields, and fermions, at the Planck scale. This Lagrangian for the unified entity — called the aikyon — is invariant under global unitary transformations, and as a result possesses a novel conserved charge, known as the Adler–Millard charge. In this paper, we derive an eigenvalue equation, analogous to the time-independent Schrödinger equation, for the Hamiltonian of the theory. We show that in the emergent quantum theory, the energy eigenvalues of the aikyon are characterized in terms of a fundamental frequency times Planck's constant. The eigenvalues of this equation can, in principle, determine the values of the parameters of the standard model. We also report a ground state, in this theory of spontaneous quantum gravity, which could characterize a non-singular initial epoch in quantum cosmology. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02177323
- Volume :
- 36
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Modern Physics Letters A
- Publication Type :
- Academic Journal
- Accession number :
- 148558318
- Full Text :
- https://doi.org/10.1142/S021773232150019X