Fractal Geometry in Nature: Applications in Physics and Mathematical Theory

Abstract

Fractal geometry, a field that explores the complex patterns and structures found in nature, has profound implications for both physics and mathematical theory. This article investigates the application of fractal geometry in various natural phenomena and its role in advancing physical theories. By analyzing fractal patterns in geological formations, biological systems, and cosmic structures, this study highlights how fractal geometry provides a deeper understanding of the inherent complexity and scaling laws in nature. Additionally, the article examines the integration of fractal principles into mathematical models and physical theories, illustrating their impact on fields such as chaos theory, quantum mechanics, and cosmology. Through a comprehensive review of existing literature and recent developments, this paper underscores the significance of fractal geometry in bridging theoretical concepts and empirical observations.