Journal article
Formulation and Quantization of Field Equations on Fractal Space-Time
International journal of theoretical physics, Vol.64(7), 183
06/17/2025
DOI: 10.1007/s10773-025-06052-z
Abstract
This paper explores the framework of fractal calculus and its application to classical and quantum field theories. We begin with a brief overview of the fundamental concepts of fractal calculus. Building on this foundation, we introduce the formulation of the classical scalar field within a fractal space. The study is then extended to the quantization of the fractal field, where we examine how fractal geometry influences the quantization process. As a key example, we consider the fractal version of the Klein-Gordon equation and analyze how the fractal dimension affects the behavior of the field. Graphical representations are provided to illustrate the impact of fractal dimensions on the solutions. The paper concludes with a summary of the results and their potential implications for future research in fractal field theory.
Details
- Title: Subtitle
- Formulation and Quantization of Field Equations on Fractal Space-Time
- Creators
- Alireza Khalili Golmankhaneh - Islamic Azad University of UrmiaRoman Pasechnik - Lund UniversityPalle E. T. Jørgensen - University of IowaShuming Li - Kansas State University
- Resource Type
- Journal article
- Publication Details
- International journal of theoretical physics, Vol.64(7), 183
- DOI
- 10.1007/s10773-025-06052-z
- ISSN
- 0020-7748
- eISSN
- 1572-9575
- Publisher
- Springer US; NEW YORK
- Language
- English
- Date published
- 06/17/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984832086102771
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