Holographic formulation of quantum general relativity

A holographic formulation of quantum general relativity

We show that there is a sector of quantum general relativity, in the Lorentzian signature case, which may be expressed in a completely holographic formulation in terms of states and operators defined on a finite boundary. The space of boundary states is built out of the conformal blocks of SU(2)L ⊕ SU(2)R, WZW field theory on the n-punctured sphere, where n is related to the area of the boundar...

Lagrangian Formulation of General Relativity

Hyperbolic Formulation of General Relativity

Einstein’s theory, viewed mathematically as a system of second-order partial differential equations for the metric, is not a hyperbolic system without modification and is not manifestly well-posed, though physical information propagates at the speed of light. A well-posed hyperbolic system admits unique solutions which depend continuously on the initial data and seems to be required for robust,...

Holographic Formulation of Quantum Supergravity

We show that N = 1 supergravity with a cosmological constant can be expressed as constrained topological field theory based on the supergroup Osp(1|4). The theory is then extended to include timelike boundaries with finite spatial area. Consistent boundary conditions are found which induce a boundary theory based on a supersymmetric Chern-Simons theory. The boundary state space is constructed f...

4 Euclidean formulation of general relativity

A variational principle is applied to 4D Euclidean space provided with a tensor refractive index, defining what can be seen as 4-dimensional optics (4DO). The geometry of such space is analysed, making no physical assumptions of any kind. However, by assigning geometric entities to physical quantities the paper allows physical predictions to be made. A mechanism is proposed for translation betw...