# Trace dynamics, and a ground state in spontaneous quantum gravity

@inproceedings{Roy2020TraceDA, title={Trace dynamics, and a ground state in spontaneous quantum gravity}, author={Abhinash Kumar Roy and Anmol Sahu and Tejinder P. Singh}, year={2020} }

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 the present paper, we derive an eigenvalue equation, analogous to the time-independent Schrödinger equation, for the Hamiltonian of the theory…

## One Citation

Trace dynamics and division algebras: towards quantum gravity and unification

- Physics
- 2020

Abstract We have recently proposed a Lagrangian in trace dynamics at the Planck scale, for unification of gravitation, Yang–Mills fields, and fermions. Dynamical variables are described by odd-grade…

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