Tag: Schrodinger’s equation

Written by Ab-duality

Dragonization theory and the wave function

This paper presents initial findings on Dragonization Theory, a novel framework linking quantum mechanics, fractal geometry, and the golden ratio (φ ≈ 1.618) in atomic structures. Using Fourier and fractal analysis, we demonstrate that atomic orbitals exhibit self-similar wavefunction distortions that follow Fibonacci scaling. We analyze platinum’s atomic structure, identifying energy shifts and spectral ratios approximating golden ratio harmonics. These results suggest that Dragonization—a transformation from wave-like states (Snake) to ordered energy structures (Bird) and fully realized form (Dragon)—governs atomic self-organization. Our findings have implications for quantum mechanics, condensed matter physics, and cosmology.

Written by Ab-duality

Dragonized Platinum “atoms” fourier transform Analysis and eigenfunction comparison

The eigenvalue spectrum shows a strong concentration of energy in the first few eigenvalues, indicating dominant wave-like structures in the image. This suggests that the dragonized platinum atom follows a structured pattern, possibly related to wavefunctions.

Findings:

  1. Fourier Analysis:

    • The transform reveals circular frequency patterns, reinforcing the presence of ordered structures.

    • The eight surrounding circles in the image might correspond to protons in the second orbit.

  2. Eigenfunction Analysis:

    • The high eigenvalue concentration at the start suggests dominant modes governing the structure.

    • This is similar to quantum eigenstates found in atomic models.