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Notions of unity and symmetry line the very foundations of physics.
We search for similarities in phenomena ranging from atomic to cosmological
scales to help better understand the underlying laws which govern the Universe.
Fractal and multifractal analysis is a natural way of identifying such
scale-invariant behavior manifest in seemingly random distributions.
More recently, trends in classical and quantum physics have pointed in the direction of information theory. The Holographic Principle is a consistent framework in which we can describe the allowed entropy states in a particular region. This is a natural extension of classical information theory, and promises new paradigm shifts which could lead to unforseen links between quantum field theories and general relativistic phenomena. Fractal and multifractal signatures are hallmarks of information theory, and a direct connection between observation and theory can be drawn. |
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My research encompasses the confluence of theoretical high energy physics and co
smology, focused in the areas of large-scale structure and modifications to grav
ity via mechanisms such as DGP and ADD extra-dimensional models.
Currently, I am studying the physics of scale-invariant unparticle fields.
This research not only provides phenomenological signatures that are distinct fr
om existing models, but it could also suggest a new alternative to dark energy a
s a source of accelerated cosmological expansion. Additional interests involve gravitationally-induced quantum mechanical wavefunction collapse paradigms, especially in theories with large extra dimensions. This impact is poentially a measurable behavior, which can serve to constrain limits on the size and number of such dimensions. I have previously pursued research in the field of neutrino physics. My primary investigations were into the effects of the addition of a third flavor of neutrino into a gravitationally-based oscillation mechanism. This provides an extension from a simpler SU(2) model to a more complicated SU(3)-based one with broader parameter space. Such a model can offer insight into the Solar Neutrino Problem, an observed but inexplicable phenomenon that has plagued the theoretical physics community for over 30 years. Lately, this work has created much interest within the neutrino astrophysics community. I have also studied simple quark models for baryons and mesons, and worked on software development with the U of T Collider Detector at Fermilab high energy physics group. |