A Remark on Quantum Gravity

A Speculative Remark on Holography

Holography suggests a considerable reduction of degrees of freedom in theories with gravity. However it seems to be difficult to understand how holography could be realized in a closed re–contracting universe. In this letter we claim that a scenario which achieves that goal will eliminate all spatial degrees of freedom. This would require a different concept of quantum mechanics and would imply...

Quantum mechanics without spacetime 1 - A case for noncommutative geometry -

Quantum mechanics in its presently known formulation requires an external classical time for its description. A classical spacetime manifold and a classical spacetime metric are produced by classical matter fields. In the absence of such classical matter fields, quantum mechanics should be formulated without reference to a classical time. If such a new formulation exists, it follows as a conseq...

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

A Remark on Non-conformal Non-supersymmetric Theories with Vanishing Vacuum Energy Density

We discuss non-conformal non-supersymmetric large N gauge theories with vanishing vacuum energy density to all orders in perturbation theory. These gauge theories can be obtained via a field theory limit of Type IIB D3-branes embedded in orbifolded space-times. We also discuss gravity in this setup. Typeset using REVTEX E-mail: [email protected] E-mail: [email protected]...

The Higgs Model for Anyons and Liouville Action

We connect Liouville theory, anyons and Higgs model in a purely geometrical way. Partly Supported by the European Community Research Programme Gauge Theories, applied supersymmetry and quantum gravity, contract SC1-CT92-0789 e-mail: [email protected], mvxpd5::matone 1 The Higgs model for anyons The main aim of this paper is to show that the Higgs model for anyons and Liouville theory are st...