Physics and Astronomy
My research is driven by some of the current questions in Cosmology, the Standard Model of elementary particles, and unification of forces including quantum gravity in the framework of string theory or M-theory. The mysteries that are hoped to be resolved include the physics of the very early universe and how it determined the gauge symmetries (forces) and the families of quarks and leptons (matter) that we observe today. Once the fundamental theory is constructed it is likely that it will suggest the best approach to answer our current mysteries, including dark matter, dark energy and a host of issues related to masses and interactions of quarks, leptons and force particles.
All the physics we know with
certainty today at microscopic or macroscopic distance scales is embodied in
principle in the fundamental laws described by the Standard Model of Particles
and Forces, and in General Relativity.
In 2006 I discovered the 2T Standard Model and in 2008 2T-Gravity,
both in 4-space and 2-time dimensions. Supersymmetric 2T-field theory in 4+2 dimensions has
also been achieved during 2007-2009. From the point of view of these 2T field
theories, as well as 2T particle dynamics that I developed since 1995, all
known physical phenomena experienced in 3-space and 1-time dimensions, as
described in 1T-physics, appear as various “shadows” of phenomena in 4+2
dimensions. 2T-physics captures “hidden” properties of physical systems in 3+1
dimensions that are systematically missed by the usual 1T-physics formulation
(see simplest example).
The existence of such verifiable predictions, that 1T-physics can only confirm
but cannot foresee systematically, show that 2T-Physics is a larger unifying
framework and an unavoidable completion of 1T-physics. I therefore expect that
the methods of 2T-physics will prove to be essential in the construction of the
ultimate unified theory as well as in a more complete description of all
physics at all scales of distance or of energy.
I emphasize symmetries and supersymmetries in much of my research on particle physics, field theory and string theory. From time to time the symmetry structures in physics have led me to discover new physical concepts, such as Two-Time Physics (2T-Physics), as well as a few new structures in Mathematics or Mathematical Physics, in particular in supergroups, non-compact groups, and noncommutative geometry. This activity also took me on side trips into applications of symmetries in other fields of physics. Consequently, supersymmetry in nuclear physics was experimentally confirmed as an approximate symmetry of bosonic and fermionic nuclei.
Some of the theoretical computations I did in the past on the Standard Model, gauge theories, and grand unification, are currently of experimental interest. In particular the first computation of the weak interaction contribution to the anomalous magnetic moment of the muon has recently been confirmed by measurements performed more than 30 years later. I suspect that some of my past work on "phenomenology" would be relevant for the next round of exciting experiments at the Large Hadron Collider at CERN starting in 2008.
For more details on my research interests look here
Lecture notes available online
Quantum Mechanics (a book)
Physics for the Life Sciences