Anhalt University of Applied Sciences

Foundations of non-relativistic and relativistic quantum theory, mathematical relativity theory, mathematical physics, applications of diffential geometry and global analysis to physics, natural philosophy (in particular the modern foundations of mechanics)

My research in the foundations of quantum theory began with the question of how to describe constrained systems in quantum mechanics. The theory of geometric quantization supposedly provided an answer to this question. Yet the more I thought about the matter, the more I realized that (first) quantization itself was a deeply problematic approach---instead of "quantizing" "classical systems" we should formulate sensible quantum theories and derive classical limits from respective models. This was really the first time I realized that there are some dominant narratives in physics, which ought to be challenged.

A breakthrough in the solution of the original research question happened about a year later, when I stumbled upon the Madelung equations. The Madelung equations are a reformulation of the SchrÃ¶dinger equation (without spin), which are also commonly found in the literature on de Broglie-Bohm theory and stochastic mechanics. To put it briefly, the equations provided a solution to the problem due to their geometric and probabilistic nature. This is how my first research paper came about and this was how "geometric quantum theory" was born.

Over time I came to understand that I was actually pursuing a research program, which has been developed throughout the history of quantum theory by various physicists and mathematicians "in parallel" to the mainstream (though some may not have viewed their work in this way). While I am not a historian of science, this split seems to have its origins in the split between two research communities, most prominently represented by Bohr and Heisenberg on the one side and Einstein, de Broglie, and SchrÃ¶dinger on the other. It was the former group, which was able to set the path for the mainstream of physics.

In modern academia what is and what is not mainstream tends to dictate funding and hiring decisions, which is not always in the interest of the progress of science---and of the people that fund it. This is one of the main reasons why I joined BRCP.