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… 
1 Citations
Trace dynamics and division algebras: towards quantum gravity and unification
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


Generalized quantum dynamics
Abstract We propose a generalization of Heisenberg picture quantum mechanics in which a lagrangian and hamiltonian dynamics is formulated directly for dynamical systems on a manifold with
Generalized quantum dynamics as pre-quantum mechanics
We address the issue of when generalized quantum dynamics, which is a classical symplectic dynamics for non-commuting operator phase space variables based on a total trace Hamiltonian H, reduces to
Why does the Kerr-Newman black hole have the same gyromagnetic ratio as the electron?
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.
  • Pearle
  • Mathematics, Medicine
    Physical 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.
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.
  • Ghirardi, Pearle, Rimini
  • Physics, Medicine
    Physical 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
  • T. P. Singh
  • Physics, Chemistry
    Zeitschrift 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
Dynamical reduction models
An exhaustive review of the recent attempt to overcome the difficulties that standard quantum mechanics meets in accounting for the measurement (or macro-objectification) problem, an attempt based on the consideration of nonlinear and stochastic modifications of the Schrodinger equation.
Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
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
S U ( 3 ) C × S U ( 2 ) L × U ( 1 ) Y × U ( 1 ) X as a symmetry of division algebraic ladder operators.
  • C. Furey
  • Physics, Medicine
    The European physical journal. C, Particles and fields
  • 2018
This paper shows how ladder operators arise from the division algebras R, C, H, and O, and from the SU(n) symmetry of these ladder operators, a model which has much structural similarity to Georgi and Glashow's SU(5) grand unified theory is demonstrated.