Galactic Symmetry: A Dance of Colors

Galactic Symmetry: A Dance of Colors

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Generate a high-resolution, purely artistic–mathematical visualization of the following highly exotic, static, spherically symmetric spacetime with deliberate irrational and fractional exponents (intended to probe fractal/fractional-dimensional geometry): $$ ds^{48.123321\pi} = \frac{ [ -dt^{2.8778\pi} + dr^{2.7887\pi} + \sin^{1.445877854\pi} r \, d\Omega^{1.2278\pi} ] }{ [ \cos^{2.144\pi} t + r^{2.7447\pi} \cos^{2.4774\pi} t - r^{2.5665\pi} ] } $$ using the coordinate transformation $$ t = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) + \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$ $$ r = \frac{1}{2.4774\pi} \left[ \tan\left(\frac{\bar{t} + \bar{r}}{2}\right) - \tan\left(\frac{\bar{t} - \bar{r}}{2}\right) \right] $$ Please render a deep, surreal, fractal-style view of the spacetime (volumetric ray-marched, maximum iteration depth, caustic-heavy, self-similar detail) and overlay hundreds of numerically integrated geodesic paths starting from many different initial conditions and energies: - bright white/yellow null geodesics (light rays, photon orbits, possible unstable circular orbits) - red timelike geodesics (massive particles falling in, bound orbits, scattering hyperbolae) - blue spacelike geodesics where they exist Let the geodesics curve, branch, and fractalize naturally under these insane fractional powers and the position-dependent conformal factor in the denominator. Make the whole scene feel like a burning, recursive, higher-dimensional glass cathedral collapsing into infinite self-similar horizons. Absolutely no text, no axes, no labels — pure image.
  • Upscale & Enhance: 0
  • Aspect Ratio: landscape