# Conformal geometrodynamics: True degrees of freedom in a truly canonical structure

@article{Wang2005ConformalGT, title={Conformal geometrodynamics: True degrees of freedom in a truly canonical structure}, author={Charles H.-T. Wang}, journal={Physical Review D}, year={2005}, volume={71}, pages={124026} }

The standard geometrodynamics is transformed into a theory of conformal geometrodynamics by extending the Arnowitt-Deser-Misner (ADM) phase space for canonical general relativity to that consisting of York's mean exterior curvature time, conformal three-metric and their momenta. Accordingly, an additional constraint is introduced, called the conformal constraint. In terms of the new canonical variables, a diffeomorphism constraint is derived from the original momentum constraint. The…

## 23 Citations

Towards conformal loop quantum gravity

- Physics
- 2005

A discussion is given of recent developments in canonical gravity that assimilates the conformal analysis of gravitational degrees of freedom. The work is motivated by the problem of time in quantum…

Loop quantum gravity without the Hamiltonian constraint

- Physics
- 2013

We show that under certain technical assumptions, including the existence of a constant mean curvature (CMC) slice and strict positivity of the scalar field, general relativity conformally coupled to…

Gauge formulation of general relativity using conformal and spin symmetries

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2008

This paper considers a further incorporation of the conformal gauge symmetry in canonical general relativity in that it is applied to simplify recently formulated parameter-free construction of spin-gauge variables for gravity.

Unambiguous spin-gauge formulation of canonical general relativity with conformorphism invariance

- Physics
- 2005

We present a parameter-free gauge formulation of general relativity in terms of a new set of real spin connection variables. The theory is constructed by extending the phase space of the recently…

The conformal factor in the parameter-free construction of spin-gauge variables for gravity

- Physics
- 2006

The newly found conformal decomposition in canonical general relativity is applied to drastically simplify the recently formulated parameter-free construction of spin-gauge variables for gravity. The…

Unitary Representations of the Translational Group Acting as Local Diffeomorphisms of Space-Time

- Mathematics
- 2016

One way of eliminating the infinities of renormalisation is through assuming a form of supersymmetry (SUSY) in which additional ‘spinor charge observables’ are added to the Lie algebra of the…

Unitary Representations of the Translational Group Acting as Local Diffeomorphisms of Space-Time

- Mathematics
- 2017

We continue to develop further a new mathematical approach to the quantisation of general field theories such as general relativity and modified gravity. Treating quantum fields as fibre bundles, we…

THE HIGHER DIMENSIONAL CONFORMAL GEOMETRODYNAMICS AND THE RENORMALIZATION GROUP OF THE SPACETIME METRIC TRANSFORMATIONS

- Physics
- 2010

It is shown that the higher dimensional Arnowitt-Deser-Misner (ADM) formalism has an appropriate structure for representing of the ten dimensional spacetime conformal geometrodynamics of the…

New ‘phase’ of quantum gravity

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2006

This paper presents a new phase space for general relativity that incorporates spin-gauge symmetry and incorporates conformal symmetry making the description parameter free, and offers a promising platform for the future development of loop quantum gravity.

Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetime

- Physics
- 2009

We investigate the dephasing suffered by a non-relativistic quantum particle within a conformally fluctuating spacetime geometry. Starting from a minimally coupled massive Klein-Gordon field, we…

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