by Nusa

February 25 2026

Affine Space of Connections and Why the Gauge Group Must Be Inhomogeneous

Connections don't form a vector space, and that single fact quietly forces a bigger symmetry.

by Nusa

February 25 2026 · Edited Jun 3, 2026

The Inhomogeneous Group G: Actions and "Transport"

Once you admit translations in connection space, you're forced into a semidirect product — and it acts on connections in one line.

by Nusa

February 25 2026

The Distinguished Background

Choosing an affine origin (without adding structure) so transport becomes well-defined.

by Nusa

February 25 2026

Augmented Torsion

The transport displacement that actually transforms like a field.

by Nusa

February 25 2026

Gauge-Covariant Bookkeeping: Double Disease Cancellation

Two bad transformation laws, one good variable.