Dragonization Theory: Fractal Geometry, Quantum Mechanics, and the Golden Ratio in Platinum Atomic Structure

Quantum mechanics describes atoms through Schrödinger’s wave equation, where electron orbitals are probability distributions. However, Dragonization theory suggests that self-similar quantum dragons, birds, and snakes , akin to fractals, exist in atomic orbitals and condensed matter systems. This study explores how golden ratio scaling patterns, evident in nature and atomic transitions, contribute to a deeper understanding of quantum geometry through Dragonization.

Dragonized platinum “atoms” image analysis using Chatgpt4 – fourier transform analysis and eigenfunction comparison results

  • The geometric dragonization pattern partially respects the atomic periodicity of platinum.
  • The eigenvalue spectrum suggests that while some atomic coherence remains, localized distortions exist, potentially affecting quantum properties.
  • If applied to a real quantum system, such modifications might lead to changes in electronic properties or localized state formations.