Plenary Lecture

A Reduction of Dimensionalities in Quantum Information Systems through a Combined Spacetime Four-Manifold

Professor Gregory L. Light
Department of Finance
Providence College
Rhode Island, USA

Abstract: The existing research in quantum information theories largely revolves around studies of the Clifford algebra. These pursuits are founded upon the probability interpretation of the quantum wave functions so that they easily involve dimensions more than four, devoid of any physical contents of energies. In our view, the waves are the classical electromagnetic waves carrying energies in a cosmic black hole, B, that is contained in a universe M[2] devoid of ordinary matter, and B coincides with the familiar universe of matter M[1]. By virtue of the geometry of quotient spaces in B, information propagation is naturally entangled. That is, we model the Universe as one combined spacetime four-manifold of particle-waves in {(t+ti,x+yi,y+zi,z+xi)}. Thus, if our geometry of a particle at (t, x, y, z) in M[1] carrying its wave energy around (it, iz, ix, iy) in B⊂M[2] is correct, then the hitherto misspecified geometries will likely hamper the development of the technologies sought for. My talk will highlight the underlying logical flows of this model of a combined spacetime four-manifold.

Brief Biography of the Speaker: Dr. Gregory L. Light is a Professor of Finance of Providence College (PC), where he has been teaching Statistics, Operations Research, among other quantitative subjects. Passionate in his subjects and caring for his students, he was nominated for the 2005 - 2006 Joseph R. Accinno Faculty Teaching Award by the PC Students Congress. Equally engaged in has been his collaborative scholarly activities with his colleagues, opening new research avenues mutually. Dr. Light received his B.A. in Economics from National Taiwan University, M.B.A. from University of Illinois, Ph.D. in Business Economics and Public Policy from University of Michigan, followed by an M.A. in Mathematics by staying at UM-Ann Arbor and then a Ph.D.-ABD in Applied Mathematics from Brown University. The dual tracks of his pursuits evolved from his interests in Mathematical Economics, Dynamical Systems and Physics. In Economics, he has proposed the analytic methodology of “relative derivatives” as an integration of elasticities in Economics with derivatives in Mathematics. In Physics, he has recently connected his “combined spacetime four-manifold” with the Standard Model. He plans to continue his interest in mathematical modeling, extending his research and enriching his teaching.