◌ Cosmology
The implications of a finite, positively curved S³ universe on the largest scales, exploring baryogenesis, the Hubble parameter, and dark matter.
Important Note
Cosmology is the section with the most open problems. The S³ framework is geometrically consistent but most predictions are [M] or [O] — they await dedicated investigation.
Core Concepts
S³ Cosmology
The Friedmann equation on S³. Finite volume, positive curvature. No big bang singularity — the universe nucleated as a topological bubble on a pre-existing S³.
Baryogenesis
Why more matter than antimatter? The Chern–Simons rate asymmetry on S³ drives a small imbalance during bubble nucleation. The asymmetry carrier mechanism is an open investigation.
Bubble Nucleation
The universe nucleated as a topological bubble on a pre-existing S³. The BN programme establishes junction conditions, pair creation rates, and energy partition for the nucleation event.
Hubble Parameter
H₀ from the S³ curvature radius. The Hubble tension may be a consequence of our current position in the S³ topology rather than a measurement error.
CMB and Large-Scale Structure
CMB anisotropies on S³. The largest-scale modes are suppressed by the finite volume — consistent with observed CMB quadrupole suppression.
Dark Matter
Dark matter as topologically stable knot configurations that interact only gravitationally (no EM coupling). Open investigation.