ANALOGY BETWEEN TURBULENCE AND QUANTUM GRAVITY: BEYOND KOLMOGOROV'S 1941 THEORY
Sauro Succi
Additional contact information
Sauro Succi: Istituto per le Applicazioni del Calcolo C. N. R., Via dei Taurini, 19 00185, Rome, Italy;
International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 01, 1-9
Abstract:
Simple arguments based on the general properties of quantum fluctuations have been recently shown to imply that quantum fluctuations of spacetime obey the same scaling laws of the velocity fluctuations in a homogeneous incompressible turbulent flow, as described by Kolmogorov 1941 (K41) scaling theory. Less noted, however, is the fact that this analogy rules out the possibility of a fractal quantum spacetime, in contradiction with growing evidence in quantum gravity research. In this Note, we show that the notion of a fractal quantum spacetime can be restored by extending the analogy between turbulence and quantum gravity beyond the realm of K41 theory. In particular, it is shown that compatibility of a fractal quantum spacetime with the recent Horava–Lifshitz scenario for quantum gravity, implies singular quantum wavefunctions. Finally, we propose an operational procedure, based on extended self-similarity techniques, to inspect the (multi)-scaling properties of quantum gravitational fluctuations.
Keywords: Fractal spacetime; fluid turbulence; scaling laws (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183112500015
Access to full text is restricted to subscribers
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:23:y:2012:i:01:n:s0129183112500015
Ordering information: This journal article can be ordered from
DOI: 10.1142/S0129183112500015
Access Statistics for this article
International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann
More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().