English

'AdS_5' Geometry Beyond Space-time and 4D Noncommutative Space-time

General Relativity and Quantum Cosmology 2009-06-22 v1

Abstract

We discuss a 4D noncommutative space-time as suggested by the version of quantum (deformed) relativity which provides a classical geometry picture as an `AdS_5'. The 4D noncommutative space-time is more like a part of a phase space description, in accordance with the quantum notion -- quantum mechanics talks about only states but not configurations. The `AdS_5' picture also illustrates the classical 4D space-time is to be described as part of a bigger geometry beyond space-time at the quantum level. The radically new picture of quantum 'space-time' is expected to provide the basis for a (still to be formulated) new approach to quantum gravity with fundamental constants (quantum) hbar and Newton's constant G put at a similar level as c, the speed of light.

Keywords

Cite

@article{arxiv.0906.3581,
  title  = {'AdS_5' Geometry Beyond Space-time and 4D Noncommutative Space-time},
  author = {Otto C. W. Kong},
  journal= {arXiv preprint arXiv:0906.3581},
  year   = {2009}
}

Comments

8 pages latex, talk given at SMP 40 (2008), Torun, Poland

R2 v1 2026-06-21T13:15:22.910Z