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7 papers · 2 filters
Quantization of Space and Time in 3 and in 4 Space-time Dimensions
G. 't Hooft
The fact that in Minkowski space, space and time are both quantized does not have to be introduced as a new postulate in physics, but can actually be derived by combining certain f…
The scattering matrix approach for the quantum black hole, an overview
G. 't Hooft
If one assumes the validity of conventional quantum field theory in the vicinity of the horizon of a black hole, one does not find a quantum mechanical description of the entire bl…
The Torus Universe in the Polygon Approach to 2+1-Dimensional Gravity
M. Welling
In this paper we describe the matter-free toroidal spacetime in 't Hooft's polygon approach to 2+1-dimensional gravity (i.e. we consider the case without any particles present). Co…
1+1 Sector of 3+1 Gravity
Ted Jacobson
The rank--1 sector of classical Ashtekar gravity is considered, motivated by the degeneracy of the metric along the Wilson lines in quantum loop states. It is found that the lines…
Focusing and the Holographic Hypothesis
S. Corley, T. Jacobson
The ``screen mapping" introduced by Susskind to implement 't Hooft's holographic hypothesis is studied. For a single screen time, there are an infinite number of images of a black…
Quantization of Point Particles in 2+1 Dimensional Gravity and Space-Time Discreteness
G. 't Hooft
By investigating the canonical commutation rules for gravitating quantized particles in a 2+1 dimensional world it is found that these particles live on a space-time lattice. The s…