Physics

I am interested in what our best physical theories tell us about the world, not only what they allow us to calculate. The interpretation of the wavefunction is a particular focus: is it a description of physical reality, of our knowledge, or of something else?

I want to understand how much of the wavefunction, Schrödinger dynamics, and Hilbert-space formalism is ontological—describing what exists—and how much is epistemic—describing what we can know. Bell’s theorem places important constraints on any answer.

One research direction I am developing brings Hamilton–Jacobi mechanics together with Gibbs ensembles. In this picture, particles could be soliton-like structures sustained by nonlinear dynamics, with the Schrödinger equation describing aspects of their emergent statistical behavior. The wavefunction would package statistical information about a particle’s whereabouts with phase information tied to those underlying dynamics, while the Born rule is a natural outcome of mapping an ontological probability space into complex Hilbert space.

These are working conjectures, not established results. I am still developing the argument and will publish essays here as it takes shape. For now, my research manifesto sets out the broader questions I want to pursue.