Research projects during my graduate school career.

## Fatigue Fracture

Filler for fatigue fracture

Unfortunately our project wasn’t funded so I moved into the next project

## Metamaterials – massive light

Metamaterials are most known for invisibility. Here is some science

When I first started working with Professor Dentcho Genov, he was finishing work cite on invisibility to mass. Through some discussions on the topic, we arrive at the question ** can we build a metamaterial that makes light massive?** Put another way, could we hold like like we hold a baseball?

## A Classical Rendition of the Polarizable Vacuum

The electron self-energy paradox states that the energy required to build an electron is infinite. A resolution to the self-energy paradox can be achieved by re-deriving the electron’s electric potential while assuming the vacuum of space to be filled with an unknown, polarizable, dielectric material. In the standard model, this effective medium can be viewed as being comprised of particle-antiparticle pairs (dipoles) that are emergent from the vacuum. Here, we demonstrate how the vacuum polarizability can be used to derive a “quantum” correction to the classical Coulomb potential. Our result asymptotically reduces to the Coulomb potential for distances larger than the classical electron radius.

Applying this general solution to the electron yields

## Classical Renormalization of the Point Charge

We extend the classical rendition of the polarizable vacuum to positronium. Our model of positronium shows that first order corrections are related to the so-called Darwin term in relativistic quantum mechanics. This is the first classical theorem that can successfully account for pair annihilation, as is commonly encountered with PET imaging.