Nardelli, Michele (2007) On the possible mathematical connections between the HartleHawking no boundary proposal concerning the RandallSundrum cosmological scenario, HartleHawking wavefunction in the minisuperspace sector of physical superstring theory, padic HartleHawking wave function and some sectors of Number Theory. Dip.Sc.Terra e Dip.Mat Unina. (Unpublished)

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Abstract
In this paper we have described the HartleHawking no boundary proposal concerning the RandallSundrum cosmological scenario, nonlocal braneworld action in the twobrane RandallSundrum model, HartleHawking wavefunction in the minisuperspace sector of physical superstring theory, padic models in the HartleHawking proposal and padic and adelic wave functions of the universe. Furthermore, we have showed some possible mathematical connections between some equations of these arguments and, in conclusion, we have also described some mathematical connections between some equations of arguments above mentioned and some equations concerning the Riemann zeta function, the Ramanujan’s modular equations and the PalumboNardelli model. In the section 1, we have described the HartleHawking “no boundary” proposal applied to RandallSundrum cosmological scenario. In the section 2, we have described nonlocal braneworld action in the twobrane RandallSundrum model. In the section 3, we have described the compactifications of type IIB strings on a CalabiYau threefold and HartleHawking wavefunction in the minisuperspace sector of physical superstring theory. In the section 4, we have described the pAdic models in the HartleHawking proposal. In the section 5, we have described the pAdic and Adelic wave functions of the Universe. In the section 6, we have described some equations concerning the Riemann zeta function, specifically, the GoldstonMontgomery Theorem, the study of the behaviour of the argument of the Riemann function with the condition that s lies on the critical line s=1/2+it, where t is real, the PN Model (PalumboNardelli model) and the Ramanujan identities. In conclusion, in the section 7, we have described some possible mathematical connections between some equations of arguments above discussed and some equations concerning the Riemann zetafunction, the Ramanujan’s modular equations and the PalumboNardelli model.
Item Type:  Article 

Subjects:  500 Scienze naturali e Matematica > 510 Matematica 
Depositing User:  Michele Nardelli 
Date Deposited:  02 Jul 2007 
Last Modified:  20 May 2010 12:01 
URI:  http://eprints.bice.rm.cnr.it/id/eprint/403 
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