Trace dynamics, and a ground state in spontaneous quantum gravity

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