Graduation Semester and Year

Spring 2024



Document Type


Degree Name

Doctor of Philosophy in Physics and Applied Physics



First Advisor

Zdzislaw Musielak


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.


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


Quantum Physics


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



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