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Dimensional reduction in quantum gravity

Conference:

Abstract

The requirement that physical phenomena associated with gravitational collapse should be duly reconciled with the postulates of quantum mechanics implies that at a Planckian scale our world is not 3+1 dimensional. Rather, the observable degrees of freedom can best be described as if they were Boolean variables defined on a two- dimensional lattice, evolving with time. This observation, deduced from not much more than unitarity, entropy and counting arguments, implies severe restrictions on possible models of quantum gravity. Using cellular automata as an example it is argued that this dimensional reduction implies more constraints than the freedom we have in constructing models. This is the main reason why so-far no completely consistent mathematical models of quantum black holes have been found. (author). 13 refs, 2 figs.
Authors:
Hooft, G [1] 
  1. Rijksuniversiteit Utrecht (Netherlands). Inst. voor Theoretische Fysica
Publication Date:
Dec 31, 1994
Product Type:
Conference
Report Number:
CONF-9303340-
Reference Number:
SCA: 662110; 662210; PA: AIX-26:072137; EDB-95:159165; SN: 95001495007
Resource Relation:
Conference: Conference on highlights of particle and condensed matter physics, Trieste (Italy), 8-12 Mar 1993; Other Information: PBD: 1994; Related Information: Is Part Of Salamfestschrift. A collection of talks from the conference on highlights of particle and condensed matter physics; Ali, A. [DESY, Hamburg (Germany)]; Ellis, J. [European Organization for Nuclear Research, Geneva (Switzerland)]; Randjbar Daemi, S. [International Centre for Theoretical Physics, Trieste (Italy)] [eds.]; PB: 627 p.; World Scientific series in 20th century physics, V. 4
Subject:
66 PHYSICS; QUANTUM GRAVITY; COMPACTIFICATION; BLACK HOLES; DEGREES OF FREEDOM; ENTROPY; HILBERT SPACE; LATTICE FIELD THEORY; SPACE-TIME
OSTI ID:
132149
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
TRN: XA9539984072137
Submitting Site:
INIS
Size:
pp. 284-296
Announcement Date:

Conference:

Citation Formats

Hooft, G. Dimensional reduction in quantum gravity. IAEA: N. p., 1994. Web.
Hooft, G. Dimensional reduction in quantum gravity. IAEA.
Hooft, G. 1994. "Dimensional reduction in quantum gravity." IAEA.
@misc{etde_132149,
title = {Dimensional reduction in quantum gravity}
author = {Hooft, G}
abstractNote = {The requirement that physical phenomena associated with gravitational collapse should be duly reconciled with the postulates of quantum mechanics implies that at a Planckian scale our world is not 3+1 dimensional. Rather, the observable degrees of freedom can best be described as if they were Boolean variables defined on a two- dimensional lattice, evolving with time. This observation, deduced from not much more than unitarity, entropy and counting arguments, implies severe restrictions on possible models of quantum gravity. Using cellular automata as an example it is argued that this dimensional reduction implies more constraints than the freedom we have in constructing models. This is the main reason why so-far no completely consistent mathematical models of quantum black holes have been found. (author). 13 refs, 2 figs.}
place = {IAEA}
year = {1994}
month = {Dec}
}