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

Siavash H. Sohrab

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

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English
Title of host publication	Proceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10)
Editors	Stephen Lagakos, Leonid Perlovsky, Manoj Jha, Brindusa Covaci, Azami Zaharim, Nikos Mastorakis
Publisher	WSEAS Press
ISBN (Print)	9789604741502
State	Published - 2010
Event	The American Conference on Applied Mathematics (AMERICAN-MATH '10) - Cambridge, Massachusetts Duration: Jan 1 2010 → …

Conference

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

Cite this

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title = "Normalized spacings between zeros of Riemann zeta function given by normalized Maxwell-Boltzmann distribution",

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.",

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booktitle = "Proceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10)",

publisher = "WSEAS Press",

note = "The American Conference on Applied Mathematics (AMERICAN-MATH '10) ; Conference date: 01-01-2010",

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Sohrab, SH 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, The American Conference on Applied Mathematics (AMERICAN-MATH '10), 1/1/10.

Normalized spacings between zeros of Riemann zeta function given by normalized Maxwell-Boltzmann distribution. / Sohrab, Siavash H.
Proceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10). ed. / Stephen Lagakos; Leonid Perlovsky; Manoj Jha; Brindusa Covaci; Azami Zaharim; Nikos Mastorakis. WSEAS Press, 2010.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Normalized spacings between zeros of Riemann zeta function given by normalized Maxwell-Boltzmann distribution

AU - Sohrab, Siavash H.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Conference contribution

SN - 9789604741502

BT - Proceedings of the American Conference on Applied Mathematics (AMERICAN-MATH '10)

A2 - Lagakos, Stephen

A2 - Perlovsky, Leonid

A2 - Jha, Manoj

A2 - Covaci, Brindusa

A2 - Zaharim, Azami

A2 - Mastorakis, Nikos

PB - WSEAS Press

T2 - The American Conference on Applied Mathematics (AMERICAN-MATH '10)

Y2 - 1 January 2010

ER -

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

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