4D Spacetime

Speed: 1.0x

Simulation Details

This simulation visualizes how mass-energy ($T_{\mu\nu}$) curves spacetime according to Einstein's Field Equations. Space time flowing like a river is achieved using Painlevé-Gullstrand coordinates. The interested viewer might notice that the grid isn't trapped inside the singularity. This is because spacetime in this sim is allowed to go through the singularity and come out the other end laying the foundation for a white hole.

$$ G_{\mu\nu} = R_{\mu\nu} - \frac{1}{2}R g_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu} $$

Live Metrics

Holographic Entropy

Visualizing the horizon's surface area as encoded information states.

Entropy ($S/k_B$)
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Object Radius
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Surface Gravity ($\kappa$)
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$\kappa / c$ Ratio
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Lorentz Factor ($\gamma$) at $R_S$
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