# 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…

## References

SHOWING 1-10 OF 18 REFERENCES

Proposal for a New Quantum Theory of Gravity III: Equations for Quantum Gravity, and the Origin of Spontaneous Localisation

- PhysicsZeitschrift für Naturforschung A
- 2019

Abstract We present a new, falsifiable quantum theory of gravity, which we name non-commutative matter-gravity. The commutative limit of the theory is classical general relativity. In the first two…

Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?

- Physics
- 2020

We have recently proposed a deterministic matrix dynamics at the Planck scale, for gravity coupled to Dirac fermions, evolving in the so-called Connes time. By coarse-graining this dynamics over time…

Combining stochastic dynamical state-vector reduction with spontaneous localization.

- PhysicsPhysical review. A, General physics
- 1989

A linear equation of motion for the state vector is presented, in which an anti-Hermitian Hamiltonian that fluctuates randomly is added to the usual Hamiltonian of the Schr\"odinger equation. It is…

Unified dynamics for microscopic and macroscopic systems.

- PhysicsPhysical review. D, Particles and fields
- 1986

A modified quantum dynamics for the description of macroscopic objects is constructed and it is shown that it forbids the occurrence of linear superpositions of states localized in far-away spatial regions and induces an evolution agreeing with classical mechanics.

Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1990

Stochastic differential equations describing the Markovian evolution of state vectors in the quantum Hilbert space are studied as possible expressions of a universal dynamical principle and the stochastic evolution is proved to induce continuous dynamical reduction of the state vector onto mutually orthogonal subspaces.

Space-time from Collapse of the Wave-function

- PhysicsZeitschrift für Naturforschung A
- 2018

Abstract We propose that space-time results from collapse of the wave function of macroscopic objects, in quantum dynamics. We first argue that there ought to exist a formulation of quantum theory…

Models of Wave-function Collapse, Underlying Theories, and Experimental Tests

- Physics
- 2013

We describe the state of the art in preparing, manipulating and detecting coherent molecular matter. We focus on experimental methods for handling the quantum motion of compound systems from diatomic…