This week whilst preparing some calculations I have been looking at the paper ‘Deformations of Polyhedra and Polygons by the Unitary Group’. In the paper the author inspired by… 711 more words

## Tags » Loop Quantum Gravity

#### Numerical work using mathematica 26: The Gauge invariant area operator in the flux formulation of LQG

This week I been following up the posts:

The starting point is to take the action of the area… 178 more words

#### Polyhedra in spacetime from null vectors by Neiman

This week I have been studying a nice paper about Polyhedra in spacetime.

The paper considers convex spacelike polyhedra oriented in Minkowski space. These are classical analogues of… 1,109 more words

#### A new realization of quantum geometry by Bahr, Dittrich and Geiller

This week I have continued to study the paper ‘A new realization of quantum geometry‘. In particular I am interested in the proposed forms of the… 366 more words

#### Numerical work with sagemath 25: The Wigner D matrix

This week I have been studying the paper ‘A New Realisation of Quantum Geometry’. I’ll review the paper in the next post and follow up that with an analysis of the area operator in the… 120 more words

#### Group field theories generating polyhedral complexes by Thürigen

This week I have been studying recent developments in Group Field Theories. Group field theories are a generalization of matrix models which provide both a… 559 more words

#### Trans-Planckian Particles and the Quantization of Time

Gerard ‘t Hooft – 1998

ABSTRACT

Trans-Planckian particles are elementary particles accelerated such that their energies surpass the Planck value. There are several reasons to believe that trans-Planckian particles do not represent independent degrees of freedom in Hilbert space, but they are controlled by the cis-Planckian particles. 174 more words