Normalized spacings between zeros of Riemann zeta function given by normalized Maxwell-Boltzmann distribution

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Abstract

The implications of a scale invariant model of statistical mechanics to the physical foundations of quantum mechanics and continuum mechanics are described. It is shown that the normalized distribution of spacings between zeros of Riemann zeta function is in close agreement with the normalized Maxwell-Boltzmann distribution function for speed of particles at thermodynamic equilibrium. Possible connections between the distribution of normalized spacings of zeros of Riemann zeta function, the normalized eigenvalues of Gaussian Unitary Ensemble (GUE), and the energy levels in quantum mechanics are discussed.
Original languageEnglish
Title of host publicationProceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10)
EditorsStephen Lagakos, Leonid Perlovsky, Manoj Jha, Brindusa Covaci, Azami Zaharim, Nikos Mastorakis
PublisherWSEAS Press
ISBN (Print)9789604741502
StatePublished - 2010
EventThe American Conference on Applied Mathematics (AMERICAN-MATH '10) - Cambridge, Massachusetts
Duration: Jan 1 2010 → …

Conference

ConferenceThe American Conference on Applied Mathematics (AMERICAN-MATH '10)
Period1/1/10 → …

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  • Cite this

    Sohrab, S. H. (2010). Normalized spacings between zeros of Riemann zeta function given by normalized Maxwell-Boltzmann distribution. In S. Lagakos, L. Perlovsky, M. Jha, B. Covaci, A. Zaharim, & N. Mastorakis (Eds.), Proceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10) WSEAS Press.