## Graduation Semester and Year

Spring 2024

## Language

English

## Document Type

Dissertation

## Degree Name

Doctor of Philosophy in Physics and Applied Physics

## Department

Physics

## First Advisor

Zdzislaw Musielak

## Abstract

One of the fundamental equations of quantum field theory is the Klein-Gordon equation which can be constructed using irreducible representations of the Poincar ́e group and describes the dynamics of spin-0 matter. The higher derivative Klein- Gordon equations are also constructed using irreducible representations of the Poincar ́e group and are, thus, invariant under operations of this group. These higher derivative Klein-Gordon equations can be placed into two series depending on the power of the derivative, one for odd powers of the derivative and one for even powers, whose solu- tions yield timelike and spacelike fields. Applying these higher derivative equations to a Schwarzschild black hole allows investigation of massless and massive particle emissions in addition to the known Hawking radiation, as well as implying a flux of tachyonic quantum fields from the black hole. The spacelike fields deduced from the higher derivative Klein-Gordon equation o↵er a possible explanation of nonlocality, as in the case of entangled particles.

## Keywords

Higher-derivative Klein-Gordon equations, Hawking Radiation, Nonlocality

## Disciplines

Quantum Physics

## License

This work is licensed under a Creative Commons Attribution 4.0 International License.

## Recommended Citation

Kanan, Gordon, "Higher-Derivative Quantum Field Theory and Its Implications for Hawking Radiation and Nonlocality" (2024). *Physics Dissertations*. 4.

https://mavmatrix.uta.edu/physics_dissertations/4