Chapter VI

Tune the Universe

Two experiments. No physics degree required. Watch the universe break — then fix itself — as you dial Λ through its three possible values.

Experiment 1 — The Λ Dial

Select Λ sign:

Λ magnitude:

Small (large universe)Large (tight curvature)

L = 0.953 · H = 0.606

curvature radius · expansion rate

L = 1/√Λself-contained · globally hyperbolic · both postulates satisfied

✓ Self-contained. Both postulates satisfied. Our universe.

The curvature radius L = 1/√Λ and expansion rate H = √(Λ/3) are determined by the algebra. No outside input needed. The larger Λ is, the more tightly curved the universe.

Experiment 2 — The Three Universes Explorer

Click any panel to expand it.

Λ < 0
Anti-de Sitter
boundary conditions required
Λ = 0
Minkowski
? (scale unknown)?shape determined, scale unknown
Λ > 0
de Sitter
L = 1/√Λself-contained · globally hyperbolic · both postulates satisfied