Abstract
Large-scale two-dimensional quantum fluctuations of five-dimensional space-time metric are constructed and the effect of the fluctuations on the nested four-dimensional worlds is studied. In doing so, the fluctuations affect not all four-dimensional worlds but only a part of them. The energy-momentum tensor of four-dimensional space-time has a physical form both in the absence and in the presence of fluctuations; it means that the fluctuations can be realized by real matter. A spatial region occupied by the fluctuations constructed in this work can be infinitely large and the fluctuations can occur during a long period of time. Therefore, we refer to these fluctuations as large-scale fluctuations.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
REFERENCES
J. A. Wheeler, Einstein's Foresight [Russian translation], Mir, Moscow (1970).
J. A. Wheeler, Gravitation, Neutrino, and the Universe [Russian translation], Nauka, Moscow (1962).
G. Modanese, Large "Dipolar" Vacuum Fluctuations in Quantum Gravity. Paper gr-qc/0005009, (2000).
G. Modanese, Phys. Lett. B, 460, 276 (1999).
G. Modanese, Phys. Lett. D, 460, (2000).
M. S. Shapovalova, Abstract of paper at Sci. Students' Conf., OmSU, Omsk, OmSU, 2000.
I. Tamura, Topology of Foliatons [Russian translation], Mir, Moscow (1979).
M. S. Shapovalova, Mat. Strukt. Model., No. 7, 104 (2001).
A. K. Gutz and M. S. Shapovalova, Large Fluctuations of Time and Change of Space-Time Signature. Los Alamos E-print Paper: gr-qc/0001076 (2000).
M. S. Shapovalova, Gravitation & Cosmology, 7, No. 3, 193 (2001).
Rights and permissions
About this article
Cite this article
Shapovalova, M.S. Large-Scale Two-Dimensional Quantum Fluctuations of Five-Dimensional and Four-Dimensional Space-Time Metrics. Russian Physics Journal 47, 359–364 (2004). https://doi.org/10.1023/B:RUPJ.0000042764.09775.7e
Issue Date:
DOI: https://doi.org/10.1023/B:RUPJ.0000042764.09775.7e