Plenary
Lecture
Continuum Versus Quantum Fields Viewed Through a Scale
Invariant Model of Statistical Mechanics
Professor
Siavash H. Sohrab
Robert McCormick School of Engineering and Applied
Science
Department of Mechanical Engineering
Northwestern University, Evanston, Illinois 60208
USA
Email:
ssohrab@northwestern.edu
Abstract: The scale invariant forms of the
conservation equations will be applied to show that in
the absence of convection the velocity field will be
governed by nonhomogenous diffusion equation similar to
the density, the temperature, the pressure, and the
vorticity fields. The similarities and the underlying
connections between physical phenomena at various scales
associated with geometric optics (HamiltonJacobi
equation), electrodynamics (Schrodinger equation),
statistical mechanics (Boltzmann equation), and
hydrodynamics (Bernoulli equation) will be explored. In
particular, the physical basis of quantum mechanics and
the associated doubleslit and the EPR problems will be
addressed on the basis of a scale invariant description
of Heisenberg matrix mechanics and Schrodinger equation.
Furthermore, the nature of the connections between
quantum versus continuum fields will be explored and its
impact on the success of Fourier representation of
generalized functions will be discussed. Finally, some
of the implications of a scaleinvariant model of
statistical mechanics to the physical foundation of
analysis, nonEuclidean geometry, and prime number
theory will be addressed.
Brief Biography of the Speaker:
Siavash H. Sohrab received his PhD in Engineering
Physics in 1981 from University of California, San
Diego, his MS degree in Mechanical Engineering from San
Jose State University in 1975, and his BS degree in
Mechanical Engineering from the University of
California, Davis in 1973. He then joined Northwestern
University in 1982 as postdoctoral research assistant
and became Visiting Assistant Professor in 1983,
Assistant Professor of Mechanical Engineering in 1984,
and since 1990 he is Associate Professor of Mechanical
Engineering at the Northwestern University. From
19751978 he worked as a scientist doing research on
fire protection and turbulent combustion at NASA Ames
research center in California. His research interests
have been on combustion, fluid dynamics, thermodynamics,
and statistical and quantum mechanics.
