While my research work is entirely theoretical,
I keep in mind that physics is fundamentally an experimental endeavor,
hence my abiding interest in quantum measurement theory. I've also
done work in global climate models, soliton theory, nuclear theory, density
functional theory of atoms and molecules, quark-gluon jet phenomenology and non-perturbative
quantum field theory. Currently I am most interested in creating a theory of discrete
space and time based on simple graphs and causal sets.
Doctoral Dissertation:
`Dynamical Model
of Quantum Measurement,' Department of Physics, Carnegie
Mellon University (1995). Abstract.
Preprints:
Refereed Publications:
-
Submitted for publication: `New
Lorentz Transformations of the Maxwell, Proca, and KGM-Dirac Fields in
Minkowski Spacetimes,' Rollin S. Armour, Jr. and Jose L. Balduz, Jr.;
Proceedings of the 26th International Colloquium on Group Theoretical
Methods in Physics, June 26-30, 2006, New York.
-
`Estimation of the
Fadeev-Popov Spectral Density and Determinant,' J.L.Balduz,
R.E.Cutkosky, and W.Tsao; Nuclear Physics B261(1985)239.
PDF file: NucPhysB.pdf
-
`Density-Functional
Theory for Fractional Particle Number: Derivative Discontinuities of the
Energy,' John P. Perdew, Robert G. Parr, Mel levy, and Jose
L. Balduz, Jr.; Physical Review Letters 49(1982)1691.
PDF file: PRL.pdf
Conference
Presentations:
-
"Effective
Length in Extended Causal Sets", April Meeting of the American
Physical Society, April 2007. Jacksonville.
-
"Causal
Sets, Hypergraphs and Cosmology," April Meeting of the American
Physical Society, April 2005, Tampa.
-
"Multiple
Observer Model of Quantum Measurement," April Meeting of the
American Physical Society, April 5-8, 2003, Philadelphia.
-
"Quantum
Observer and Spacetime Hierarchies," 18th Pacific Coast Gravity
Meeting, March 29-30, 2002, University of California at Davis.
-
"Kinematics
of the Non-Local Spacetime Web," April Meeting of the American
Physical Society, April 28-May 1, 2001, Washington, DC.
-
"Non-Local
Spacetime Web," Centennial Meeting of the American Physical
Society, March 20-26, 1999, Atlanta.
-
"The
One-Way Speed of Light and Absolute Space," One-Day Mini-Conference on
Quantum Mechanics and Relativity Theory, May 1, 1995, Center for Philosophy
of Science, University
of Pittsburgh,
Seminar
Presentations:
Mercer University
Physics Department
-
10/18/2006
Journal Club: "Spacetime and Euclidean Geometry," by Dieter Brill and Ted Jacobson, Gen.Rel.Grav. 38 (2006)
643-651
-
7/19/2005
"Quantum
Observer Hierarchies"
and "Causal
Sets, Hypergraphs and Cosmology"
-
1/26/2005
"The Graph Laplacian as a Tool for Network Resistance and Discrete Space Distance"
-
10/13/2004
"Modeling Space with Simple Graphs"
-
4/7/2004
"Density Functional Theory"
-
10/29/2003
"Soccer Ball-Shaped Universe (!?) ... and other cosmic tales"
-
1/22 &
1/29/2003 "Quantum Strangeness. Part 1: The Problem & Part 2: Solutions?"
-
1/23/2002 "Quantum Computing and Shor's Algorithm"
-
10/10/2001 "Unification of Physics and the Standard Model"
-
3/21/2001
"Kinematics of the Non-Local Spacetime Web"
-
9/13/2000
"Additional Dimensions in Spacetime"
-
3/1/2000
"More on Simple Predator-Prey Models"
-
9/22 &
9/29/1999 "Non-Local Spacetime Web. Parts 1 & 2"
-
Spring 1999 "Absolute
Space and the One-Way Speed of Light"
-
Fall 1998
"Dynamical Model of Quantum Measurement. Parts 1, 2 and 3"
Tulane University
Physics Department
-
Spring 1997 "Applications
of the Multiple Observer Model"
-
Spring 1997
"Dynamical Model of Quantum Measurement, with Multiple Observers and
Chaos. Parts 1 and 2"
Work
in progress:
-
`Causal
Sets, Hypergraphs and Cosmology'
-
`Distance Measures on Simple Space
Graphs," with Samson Alva
-
`Covariance of
the Maxwell Equations,' with Rollin S. Armour Jr.
-
`Spinor
Spacetime Coordinates,' with Rollin S. Armour Jr.
-
`Spin-1/2 Maxwell Equations with Isospin and
Iso-Boosts,' with Rollin S. Armour Jr.
-
`Non-Local Spacetime
Web'
-
`Kinematics of Non-Local
Operators'
Work of close
collaborators:
-
Rollin S. Armour Jr.,
"Spin-1/2 Maxwell Fields," Foundations of Physics 34 (5): 815-842, May 2004;
see also "Spin-1/2 Maxwell Fields,"
arXiv:hep-th/0305084, 12 May 2003.
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