Abstract
In the non-relativistic and quasi-static limit, it is possible to map exactly the system of galaxies in the observable universe onto an Ising magnet. Techniques from the theory of critical phenomena as applied to magnets can then be employed to calculate rigorously the galaxy-to-galaxy correlation function, whose critical exponent is predicted to be between 1.530 to 1.862, to be compared to the empirical/observational value of 1.6 to 1.8.
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References
Shane, C. D., and Wirtanen, C. A. (1967).Publ. Lick Obs. 22, Part 1.
Maddox, S. J., et al. (1990).Mon. Not. R. Astr. Soc. 242, 43P.
See, e.g., Peebles, P. J. E. (1993).Principles of Physical Cosmology (Princeton University Press, Princeton).
Pérez-Mercader, J., Goldman, T., Hochberg, D., and Laflamme, R. (1995). Los Alamos preprint LA-UR-95-1055, astro-ph/9506127.
See, e.g., Binney, J., Dowrick, N., Fisher, A., and Newman, M. (1992).The Theory of Critical Phenomena: An Introduction to the Renormalization Group (Oxford University Press, Oxford) and Amit, D. (1984).Field Theory, the Renormalization Group and Critical Phenomena (Rev. 2nd. ed., World Scientific, Singapore).
Wilson, K. G. (1969).Phys. Rev. 179, 1499.
Barber, M. N. (1977).Phys. Rep. 29 C, 1.
Hohenberg, P. C., and Halperin, B. I. (1977).Rev. Mod. Phys. 49, 435.
Chaikin, P. M., and Lubensky, T. C. (1995).Principles of Condensed Matter Physics (Cambridge University Press, Cambridge) p.483 (Model A), p.490 (Model B).
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This essay received the fifth award from the Gravity Research Foundation, 1996—Ed.
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Hochberg, D., Pérez-Mercader, J. Gravitational critical phenomena in the realm of the galaxies and Ising magnets. Gen Relat Gravit 28, 1427–1432 (1996). https://doi.org/10.1007/BF02113772
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DOI: https://doi.org/10.1007/BF02113772