# Trace dynamics and division algebras: towards quantum gravity and unification

@article{Singh2020TraceDA, title={Trace dynamics and division algebras: towards quantum gravity and unification}, author={Tejinder P. Singh}, journal={Zeitschrift f{\"u}r Naturforschung A}, year={2020}, volume={76}, pages={131 - 162} }

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 (fermionic) and even-grade (bosonic) Grassmann matrices. Evolution takes place in Connes time. At energies much lower than Planck scale, trace dynamics reduces to quantum field theory. In the present paper, we explain that the correct understanding of spin requires us to formulate the theory in 8-D…

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