Dimensional Topology Forge: Spacetime Geometry Simulator

Spacetime Geometry Visualization

Time: 0.00 s

Coordinates: (x: 0.00, y: 0.00, z: 0.00)

Positive Curvature

Negative Curvature

Geodesic Path

Topology Type

Euclidean

Spherical

Hyperbolic

Torus

Klein Bottle

Wormhole

Geometry Parameters

Curvature (κ) 0.00

Dimensions 3

Time Flow 1.00

Grid Resolution 20

Visualization Options

Perspective 60°

Animation Speed 1.0x

About This Simulation

The Dimensional Topology Forge allows you to visualize and manipulate different spacetime geometries. Each topology type represents a distinct mathematical structure of space and time:

Euclidean: Flat space with zero curvature (standard geometry)
Spherical: Positive curvature, like the surface of a sphere
Hyperbolic: Negative curvature, saddle-shaped geometry
Torus: Donut-shaped topology with periodic boundaries
Klein Bottle: Non-orientable surface with no inside or outside
Wormhole: Hypothetical bridge connecting distant spacetime points

Adjust the parameters to see how curvature, dimensions, and time flow affect the geometric structure. The visualization shows geodesic paths (shortest distances) and curvature distribution.