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  Discrete to continuum transition in multifractal spacetimes

Calcagni, G. (2011). Discrete to continuum transition in multifractal spacetimes. Physical Review D, 84: 061501. doi:10.1103/PhysRevD.84.061501.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-0436-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-0438-5
Genre: Journal Article

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 Creators:
Calcagni, Gianluca1, Author              
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We outline a field theory on a multifractal spacetime. The measure in the action is characterized by a varying Hausdorff dimension and logarithmic oscillations governed by a fundamental physical length. A fine hierarchy of length scales identifies different regimes, from a microscopic structure with discrete symmetries to an effectively continuum spacetime. Thanks to general arguments from fractal geometry, this scenario explicitly realizes two indirect or conjectured features of most quantum gravity models: a change of effective spacetime dimensionality with the probed scale, and the transition from a fundamentally discrete quantum spacetime to the continuum. It also allows us to probe ultramicroscopic scales where spectral methods based on ordinary geometry typically fail. Consequences for noncommutative field theories are discussed.

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 Dates: 2011-06-012011-06-052011
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: arXiv: 1106.0295
DOI: 10.1103/PhysRevD.84.061501
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 Sequence Number: 061501 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258