Archetypal Resonances Between Realms: The Fractal Interplay of Chaos and Order

This is the authors' abstract. We don't add key points for this paper.

The intricate balance between chaos and order has fascinated humans for centuries, serving as a recurring theme in culture, psychology, and science. Carl Jung’s insights into archetypes reveal cultural patterns that emerge nearly universally across the globe, independent of history. This paper connects archetypal psychology with contemporary mathematical and quantum concepts. We focus on the profound interconnectedness at the interface between chaos and order, by demonstrating how the Mandelbrot set from contemporary fractal geometry circles round to embody the Oroboros, an ancient symbol of recursive dynamics. Our research bridges micro and macro realms, symbolic meanings, and empirical data, as well as psychological and physical dimensions. By merging age-old symbols with cutting-edge mathematical and quantum ideas, we shed light on the intricate dance of chaos and to underscore the unified nature of existence.