Links between string theory and the Riemann’s zeta function

Turco, Rosario and Colonnese, Maria and Nardelli, Michele (2009) Links between string theory and the Riemann’s zeta function. Dip.Sc.Terra-Dip.Matem.Unina. (Unpublished)


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There is a connection between string theory and the Riemann’s zeta function: this is an interesting way,because the zeta is related to prime numbers and we have seen on many occasions how nature likes to express himself through perfect laws or mathematical models. Not least the situation that certain stable energy levels of atoms could be associated with non-trivial zeros of the Riemann’s zeta. In [6] for example has been shown the binding of the Riemann zeta and its non-trivial zeros with quantum physics through the Law of Montgomery-Odlyzko. The law of Montgomery-Odlyzko says that "the distribution of the spacing between successive non-trivial zeros of the Riemann zeta function (normalized) is identical in terms of statistical distribution of spacing of eigenvalues in an GUE operator”, which also represent dynamical systems of subatomic particles! In [6] the authors showed all the mathematical and theoretical aspects related to the Riemann’s zeta, while in [9] showed the links of certain formulas of number theory with the golden section and other areas such as string theory. The authors have proposed a solution of the Riemann hypothesis (RH) and the conjecture on the multiplicity of nontrivial zeros, showing that they are simple zeros [7][8]. In [10] [11] have proposed hypotheses equivalent RH, in [12] [13] the authors have presented informative articles on the physics of extra dimensions, string theory and M-theory, in [15] the conjecture Yang and Mills, in [16] the conjecture of Birch and Swinnerton-Dyer.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 510 Matematica
Depositing User: Michele Nardelli
Date Deposited: 30 Nov 2009
Last Modified: 20 May 2010 12:02

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