Cosmic Topology Explorer

Binary Tetrahedral S³/T*

3D scene loads on the client.
Universal cover
Last-scattering surface
Radius1.70
Opacity20%
CMB map
Test object
Light rays
Observer view
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CMB signatures

R_LSS / R_topology2.83×the last-scattering sphere wraps around — fingerprints active

Matched circles

4 / 4 pair(s)

Identified faces produce pairs of identical temperature circles on the CMB sphere (Cornish-Spergel-Starkman 1998).

Angular separation between paired centres: 120° · Angular radius of each circle: 69° (canonical ≈35°)

Low-l power suppression

C₂ × 40%

Wavelengths longer than the fundamental cell cannot fit. The lowest multipoles are damped relative to flat ΛCDM.

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ΛCDMS³/T*Planck / WMAP observed

Schematic temperature map

A Mollweide projection of the sky, with a low-l field aligned along the topology axis. Schematic only.

Preferred axis : θ = 45°, φ = 200°

Summary

  • CurvaturePositively curved
  • OrientableYes
  • Fundamental-group generators4
  • Matched circles4 pair(s)
  • Predicted C₂ suppression60%