$Close-up of a detailed digital fractal flower structure$

Cosmic Fractal Bloom in Cyberpunk Style

Artist
Boris Krum...
DDG Model
AIVision
Mode
Ultra
Access
Public
Created
6d ago
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  Cosmic Fractal Bloom in Cyberpunk Style
  
  Model: AIVision (Ultra)
  
  Size: 2560 X 1456 (3.73 MP)
  
  Used settings:
  
  Prompt: Generate a highly detailed, photorealistic 3D rendering of an emergent quantum shell soliton in a dipolar Bose-Einstein condensate (BEC) of erbium-168, manifesting as a self-assembled nematic droplet with crystalline flanges stabilized by dipole-dipole interactions $ V_{dd}(\mathbf{r}) = \frac{C_{dd}}{4\pi r^3} (1 - 3 \cos^2 \theta) $ (where $ C_{dd} > 0 $, anisotropy $ \epsilon_{dd} \approx 1.4 $) balancing s-wave attractions and Lee-Huang-Yang (LHY) repulsion $ \delta E_{LHY} \propto \int \rho^{5/2} dV $. Depict the shell as a hyperbolic bivalve structure with logarithmic spiral growth $ r(\theta) = a e^{b \theta} $ ($ b = 2\pi ( \sqrt{5} - 1)/2 \approx 0.306 $, golden angle spacing $ \Delta \theta \approx 137.5^\circ $), radius $ R \approx 15 \mu m $, and phyllotactic branching via L-system rules (axiom: F, rules: F → F[+F]F[-F][F], angle 25°, iterated 6 levels for ~7-9 flanges). Visualize isosurfaces: outer iridescent cyan-blue shell (low-density nematic interface with Frank elastic energy $ F_K = \frac{K_1}{2} (\nabla \cdot \mathbf{n})^2 + \frac{K_3}{2} (\mathbf{n} \times \nabla \times \mathbf{n})^2 $, $ K_1, K_3 \approx 10^{-11} $ J/m, perturbed by m=5-7 Fourier modes $ \delta r \propto \sum \cos(m \theta + \phi_m) $ for fractal edges with Hausdorff dimension ~1.25); inner crimson-red filigree veins as domain walls $ \sigma_{dw} \propto \sqrt{K \Delta Q} $ (Q=order parameter tensor) tracing half-quantum vortex lines with circulation $ \kappa = h/2m $; central white-plasma core as skyrmion nexus with topological charge $ Q = \frac{1}{4\pi} \int \mathbf{n} \cdot (\partial_x \mathbf{n} \times \partial_y \mathbf{n}) d^2 x = 1 $, density profile $ \rho(r) = \rho_0 \sech^2(r / \xi) $ ($ \xi = \hbar / \sqrt{2 m |\mu|} \approx 0.7 \mu m $, $ \mu \approx - \frac{\hbar^2}{2 m a_{dd}^2} $). Embed in deep indigo hyperbolic void ($ \mathbb{H}^2 $ metric $ ds^2 = \frac{dx^2 + dy^2}{(1 - (x^2 + y^2)/R^2)^2} $) with subtle speckled quantum roughening noise $ \delta \rho \sim \sqrt{\rho} e^{-\beta E} $ from thermal fluctuations at T ≈ 50 nK, refractive index gradients $ n(\rho) = 1 + \alpha \rho $ inducing lensing warps and ethereal glow via ray-traced caustics. Include bilateral symmetry breaking with quadrupolar Legendre $ P_2(\cos \phi) $ oblateness and faint blue underglow from Bogoliubov phonon modes $ \epsilon_k \approx c k $ (sound speed c ≈ 1 mm/s). Style: emergent textures from spinor Gross-Pitaevskii numerics (extended GPE: $ i\hbar \partial_t \Psi = [-\nabla^2/2m + V_{dd} + g |\Psi|^2 + \delta_{LHY}] \Psi $, time-evolved to steady state), high-contrast iridescence with fractal recursion, 8K resolution, scientifically precise yet surreal, evoking a quantum nautilus in cosmic vacuum.
  
  Using base image: No
  
  Aspect Ratio: landscape_wide
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Prompt: Generate a highly detailed, photorealistic 3D rendering of an emergent quantum shell soliton in a dipolar Bose-Einstein condensate (BEC) of erbium-168, manifesting as a self-assembled nematic droplet with crystalline flanges stabilized by dipole-dipole interactions $ V_{dd}(\mathbf{r}) = \frac{C_{dd}}{4\pi r^3} (1 - 3 \cos^2 \theta) $ (where $ C_{dd} > 0 $, anisotropy $ \epsilon_{dd} \approx 1.4 $) balancing s-wave attractions and Lee-Huang-Yang (LHY) repulsion $ \delta E_{LHY} \propto \int \rho^{5/2} dV $. Depict the shell as a hyperbolic bivalve structure with logarithmic spiral growth $ r(\theta) = a e^{b \theta} $ ($ b = 2\pi ( \sqrt{5} - 1)/2 \approx 0.306 $, golden angle spacing $ \Delta \theta \approx 137.5^\circ $), radius $ R \approx 15 \mu m $, and phyllotactic branching via L-system rules (axiom: F, rules: F → F[+F]F[-F][F], angle 25°, iterated 6 levels for ~7-9 flanges). Visualize isosurfaces: outer iridescent cyan-blue shell (low-density nematic interface with Frank elastic energy $ F_K = \frac{K_1}{2} (\nabla \cdot \mathbf{n})^2 + \frac{K_3}{2} (\mathbf{n} \times \nabla \times \mathbf{n})^2 $, $ K_1, K_3 \approx 10^{-11} $ J/m, perturbed by m=5-7 Fourier modes $ \delta r \propto \sum \cos(m \theta + \phi_m) $ for fractal edges with Hausdorff dimension ~1.25); inner crimson-red filigree veins as domain walls $ \sigma_{dw} \propto \sqrt{K \Delta Q} $ (Q=order parameter tensor) tracing half-quantum vortex lines with circulation $ \kappa = h/2m $; central white-plasma core as skyrmion nexus with topological charge $ Q = \frac{1}{4\pi} \int \mathbf{n} \cdot (\partial_x \mathbf{n} \times \partial_y \mathbf{n}) d^2 x = 1 $, density profile $ \rho(r) = \rho_0 \sech^2(r / \xi) $ ($ \xi = \hbar / \sqrt{2 m |\mu|} \approx 0.7 \mu m $, $ \mu \approx - \frac{\hbar^2}{2 m a_{dd}^2} $). Embed in deep indigo hyperbolic void ($ \mathbb{H}^2 $ metric $ ds^2 = \frac{dx^2 + dy^2}{(1 - (x^2 + y^2)/R^2)^2} $) with subtle speckled quantum roughening noise $ \delta \rho \sim \sqrt{\rho} e^{-\beta E} $ from thermal fluctuations at T ≈ 50 nK, refractive index gradients $ n(\rho) = 1 + \alpha \rho $ inducing lensing warps and ethereal glow via ray-traced caustics. Include bilateral symmetry breaking with quadrupolar Legendre $ P_2(\cos \phi) $ oblateness and faint blue underglow from Bogoliubov phonon modes $ \epsilon_k \approx c k $ (sound speed c ≈ 1 mm/s). Style: emergent textures from spinor Gross-Pitaevskii numerics (extended GPE: $ i\hbar \partial_t \Psi = [-\nabla^2/2m + V_{dd} + g |\Psi|^2 + \delta_{LHY}] \Psi $, time-evolved to steady state), high-contrast iridescence with fractal recursion, 8K resolution, scientifically precise yet surreal, evoking a quantum nautilus in cosmic vacuum.

Prompt

Generate a highly detailed, photorealistic 3D rendering of an emergent quantum shell soliton in a dipolar Bose-Einstein condensate (BEC) of erbium-168, manifesting as a self-assembled nematic droplet with crystalline flanges stabilized by dipole-dipole interactions $ V_{dd}(\mathbf{r}) = \frac{C_{dd}}{4\pi r^3} (1 - 3 \cos^2 \theta) $ (where $ C_{dd} > 0 $, anisotropy $ \epsilon_{dd} \approx 1.4 $) balancing s-wave attractions and Lee-Huang-Yang (LHY) repulsion $ \delta E_{LHY} \propto \int \rho^{5/2} dV $. Depict the shell as a hyperbolic bivalve structure with logarithmic spiral growth $ r(\theta) = a e^{b \theta} $ ($ b = 2\pi ( \sqrt{5} - 1)/2 \approx 0.306 $, golden angle spacing $ \Delta \theta \approx 137.5^\circ $), radius $ R \approx 15 \mu m $, and phyllotactic branching via L-system rules (axiom: F, rules: F → F[+F]F[-F][F], angle 25°, iterated 6 levels for ~7-9 flanges). Visualize isosurfaces: outer iridescent cyan-blue shell (low-density nematic interface with Frank elastic energy $ F_K = \frac{K_1}{2} (\nabla \cdot \mathbf{n})^2 + \frac{K_3}{2} (\mathbf{n} \times \nabla \times \mathbf{n})^2 $, $ K_1, K_3 \approx 10^{-11} $ J/m, perturbed by m=5-7 Fourier modes $ \delta r \propto \sum \cos(m \theta + \phi_m) $ for fractal edges with Hausdorff dimension ~1.25); inner crimson-red filigree veins as domain walls $ \sigma_{dw} \propto \sqrt{K \Delta Q} $ (Q=order parameter tensor) tracing half-quantum vortex lines with circulation $ \kappa = h/2m $; central white-plasma core as skyrmion nexus with topological charge $ Q = \frac{1}{4\pi} \int \mathbf{n} \cdot (\partial_x \mathbf{n} \times \partial_y \mathbf{n}) d^2 x = 1 $, density profile $ \rho(r) = \rho_0 \sech^2(r / \xi) $ ($ \xi = \hbar / \sqrt{2 m |\mu|} \approx 0.7 \mu m $, $ \mu \approx - \frac{\hbar^2}{2 m a_{dd}^2} $). Embed in deep indigo hyperbolic void ($ \mathbb{H}^2 $ metric $ ds^2 = \frac{dx^2 + dy^2}{(1 - (x^2 + y^2)/R^2)^2} $) with subtle speckled quantum roughening noise $ \delta \rho \sim \sqrt{\rho} e^{-\beta E} $ from thermal fluctuations at T ≈ 50 nK, refractive index gradients $ n(\rho) = 1 + \alpha \rho $ inducing lensing warps and ethereal glow via ray-traced caustics. Include bilateral symmetry breaking with quadrupolar Legendre $ P_2(\cos \phi) $ oblateness and faint blue underglow from Bogoliubov phonon modes $ \epsilon_k \approx c k $ (sound speed c ≈ 1 mm/s). Style: emergent textures from spinor Gross-Pitaevskii numerics (extended GPE: $ i\hbar \partial_t \Psi = [-\nabla^2/2m + V_{dd} + g |\Psi|^2 + \delta_{LHY}] \Psi $, time-evolved to steady state), high-contrast iridescence with fractal recursion, 8K resolution, scientifically precise yet surreal, evoking a quantum nautilus in cosmic vacuum.

More about Cosmic Fractal Bloom in Cyberpunk Style

A highly detailed mandala-like fractal bloom with intricate blue and red glowing lines, smooth curves, and many tiny spheres, arranged to form a flower shape, with a bright blue light emanating from its core, set against a dark, cosmic background with subtle bokeh effects, in a cyberpunk-inspired style.