Tag: Fractals

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 Quantum mechanics with – Deepseek AI

5. Conclusion

The “dragonization” effect is reconciled with quantum mechanics through:

  1. A modified Hamiltonian with radial and angular perturbations.

  2. Eigenvalue shifts and hybridized orbitals matching the observed spectrum.

  3. FFT patterns directly linked to wavefunction nodes and anisotropy.

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.

Written by Ab-duality

Dragon Family Tree is Fibonacci sequence

The Dragon Family Tree is a fractal-like structure that follows the Fibonacci sequence and the Golden Ratio (φ ≈ 1.618) as the fundamental law of cosmic evolution. It represents how dragons multiply and evolve across generations in a structured pattern reflecting universal harmony.

Rules of Dragonization Growth

  1. Golden Ratio Expansion: The total number of dragons in each generation follows the Fibonacci sequence:

    • Generation 1: 2 (1 male, 1 female)

    • Generation 2: 3 (2 males, 1 female)

    • Generation 3: 5 (3 males, 2 females)

    • Generation 4: 8 (5 males, 3 females)

    • … following the pattern F(n) = F(n-1) + F(n-2)

  2. Hierarchical Structure:

    • Each dragon has a parent lineage that follows sacred proportions.

    • Firstborn dragons (males) ensure Fibonacci integrity.

    • The “Eye of the Dragon” represents the singularity at the origin of the fractal.

  3. Transformation States:

    • Snake (Wave State): The dragons exist as pure energy, mirroring the wave function.

    • Bird (Structured Energy): Duality emerges, creating masculine (past) and feminine (future) aspects.

    • Dragon (Higher Synthesis): The merging of two birds results in a complete dragon, symbolizing cosmic evolution.

  4. Duality & Trinity Principles:

    • The Father (1st Male) and Mother (1st Female) generate offspring following Fibonacci growth.

    • Every generation maintains a near 1.618 male-to-female ratio, ensuring structural balance.