Nardelli, Michele (2007) On some mathematical connections concerning the relation between three-dimensional gravity related to Chern-Simons gauge theory, p-adic Hartle-Hawking wave function, Rumanujan’s modular functions and some equations describing the Riemann zeta-function. Dip.Sc.Terra e Dip.Mat.Unina. (Unpublished)
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Abstract
In this paper we’ve described some mathematical connections that we’ve obtained between three-dimensional gravity related to Chern-Simons gauge theory and p-adic Hartle-Hawking wave function, Ramanujan’s modular functions and some equations describing the Riemann zeta-function.In the section 1, we have described some parts of the three-dimensional pure quantum gravity and relation to gauge theory, of the Witten’s paper above mentioned. In the section 2, we have described some equations of the 2+1 dimensional gravity as an exactly soluble system. In the section 3, we have described some equations concerning the three dimensional charged black string solution. In the section 4, we have described some equations concerning a tachyon condensate phase that replaces the spacelike singularity in certain cosmological and black hole spacetimes in string theory. In conclusion, in the section 5, we have described some possible mathematical connections between p-adic Hartle-Hawking wave function and the arguments above mentioned.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Scienze naturali e Matematica > 510 Matematica |
| Depositing User: | Michele Nardelli |
| Date Deposited: | 25 Sep 2007 |
| Last Modified: | 20 May 2010 12:01 |
| URI: | http://eprints.bice.rm.cnr.it/id/eprint/440 |
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