The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
The sponge-like topology of large-scale structure in the universe
Abstract
The relative connectedness of the high- and low-density regions in the universe is studied using a median density contour which divides space into two equal volumes. The CfA data are found to show a sponge-like topology where the highand low-density regions are both interlocking and equivalent. The boundary surface between the two regions has a general negative curvature, and is characterized by a large number of holes. In the initial conditions the connectedness of the two regions must be identical because a change of sign in the random quantum fluctuations would reverse their roles. It is noted that in the cold dark matter and neutrino scenarios the hole sizes are typically of the order of the smoothing diameter or the damping length, whichever is larger. The sponge-like topology is consistent with the universe having a frothy appearance without being divided neatly into cells. A computer algorithm for measuring topology is discussed.
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“Gott et al. (1986) and Hamilton et al. (1986) considered the genus of the level surfaces as a useful numerical invariant of this situation.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Gott et al. (1986)
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“The first recognition that topological methods could be useful in this setting occurred in Gott, Dickinson and Melott (1986) and Hamilton, Gott and Weinberg (1986).”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Gott et al. (1986)
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Citations
Cites
The statistics of peaks of Gaussian random fields
Bardeen, J. M., Bond, J. R., Kaiser, N., & Szalay, A. S. (1986) · The Astrophysical Journal · doi:10.1086/164143 · Cited by 3,270
de Lapparent, V., Geller, M. J., & Huchra, J. P. (1986) · The Astrophysical Journal · doi:10.1086/184625 · Cited by 834
Cited by
Topological pattern recognition for point cloud data
Carlsson, G. (2014) · Acta Numerica · doi:10.1017/s0962492914000051 · Cited by 230
Can the Universe create itself?
Gott, J. R., & Li, L.-X. (1998) · Physical Review D · doi:10.1103/physrevd.58.023501 · Cited by 127
Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web
van de Weygaert, R., Vegter, G., Edelsbrunner, H., Jones, B. J. T., Pranav, P., Park, C., Hellwing, W. A., Eldering, B., Kruithof, N., Bos, E. G. P., et al. (2011) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-25249-5_3 · Cited by 84
BETTI NUMBERS OF GAUSSIAN FIELDS
Park, C., Pranav, P., Chingangbam, P., Van De Weygaert, R., Jones, B., Vegter, G., Kim, I., Hidding, J., & Hellwing, W. A. (2013) · Journal of The Korean Astronomical Society · doi:10.5303/jkas.2013.46.3.125 · Cited by 62
Metadata
- Authors
- Gott, J. R., III, Dickinson, M., & Melott, A. L.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1986-07
- Volume
- 306
- Pages
- 341
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2093615713
- Cited by
- 334
- References
- 2
- FWCI
- 10.92
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gott, J. R., III, Dickinson, M., & Melott, A. L. (1986). The sponge-like topology of large-scale structure in the universe. The Astrophysical Journal. https://doi.org/10.1086/164347
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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