1. Trace dynamics, and a ground state in spontaneous quantum gravity.
- Author
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Roy, Abhinash Kumar, Sahu, Anmol, and Singh, Tejinder P.
- Subjects
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PLANCK'S constant , *QUANTUM cosmology , *QUANTUM theory , *QUANTUM states , *UNITARY transformations , *YANG-Mills theory , *QUANTUM gravity - 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]
- Published
- 2021
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