Here you will find information on my current and previous research projects. Clicking on the title of any project will bring you to that project’s home page.
The Holographic Principle and Reality
Currently, I am researching my senior thesis, which will investigate whether holographic descriptions of physical systems provide mathematically meaningful frameworks for understanding information, dimensionality, complexity, and emergent structure.
More specifically, this project will use a mathematical foundation to understand the holographic principle in order to evaluate the so-called “Simulation Hypothesis” that some researchers claim emerges from holography.
The project will also use the information learned to consider the relationship between holography and reality, and discuss the philosophical and theological impacts of such conclusions.
Click on the title to go to the homepage for this project, where you can read more details about the nature and scope of the research.
Expected completion date: December 2026
Chaos: An Exploration
of a Modern Science
An extensive research project examining the mathematical foundations, historical development, and real-world applications of chaos theory. The final paper explores nonlinear dynamical systems, sensitivity to initial conditions, strange attractors, and deterministic unpredictability.
While a strong competency in undergraduate-level mathematics is necessary to grasp the chapter on the mathematics of chaos, the rest of the paper can be read and fully digested by any reader.
Click on the title to go to the homepage for this project, where you can read more details and view the final paper.
