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SIGMA, 2017, Volume 13, 006, 33 pages (Mi sigma1206)  

This article is cited in 2 scientific papers (total in 2 papers)

Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure

Matti Raasakka

Näyttelijänkatu 25, 33720 Tampere, Finland

Abstract: Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a framework is necessary in order to study the emergence of effective spacetime structure in a consistent manner, without assuming a background geometry from the outset. Instead, the background geometry is conjectured to arise as an effective structure of the algebraic and dynamical relations between observables that are imposed by the background statistics of the system. Namely, we suggest that quantum reference states on an extended observable algebra, the free algebra generated by the observables, may give rise to effective spacetime structures. Accordingly, perturbations of the reference state lead to perturbations of the induced effective spacetime geometry. We initiate the study of these perturbations, and their relation to gravitational phenomena.

Keywords: algebraic quantum theory; quantum gravity; emergent spacetime.

DOI: https://doi.org/10.3842/SIGMA.2017.006

Full text: PDF file (590 kB)
Full text: http://www.emis.de/.../006
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Bibliographic databases:

ArXiv: 1605.03942
MSC: 81T05; 83C45; 81P10; 81R15; 46L09; 46L53
Received: May 13, 2016; in final form January 17, 2017; Published online January 24, 2017
Language:

Citation: Matti Raasakka, “Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure”, SIGMA, 13 (2017), 006, 33 pp.

Citation in format AMSBIB
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\by Matti~Raasakka
\paper Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
\jour SIGMA
\yr 2017
\vol 13
\papernumber 006
\totalpages 33
\mathnet{http://mi.mathnet.ru/sigma1206}
\crossref{https://doi.org/10.3842/SIGMA.2017.006}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014821277}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Hoehn Ph.A., “Reflections on the Information Paradigmin Quantum and Gravitational Physics”, 8Th International Workshop Dice2016: Spacetime - Matter - Quantum Mechanics, Journal of Physics Conference Series, 880, IOP Publishing Ltd, 2017, 012014  crossref  isi
    2. Raasakka M., “Local Lorentz Covariance in Finite-Dimensional Local Quantum Physics”, Phys. Rev. D, 96:8 (2017), 086023  crossref  isi
  • Symmetry, Integrability and Geometry: Methods and Applications
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