by Nusa

February 8 2026

Two Geometries Problem: Riemann vs Ehresmann

Modern physics rests on two incompatible geometric formalisms: Riemannian geometry for gravity and Ehresmann (connection-based) geometry for gauge fields. This post isolates the precise obstruction to unifying them and explains why Geometric Unity (GU) does not attempt to merge them naively, but instead replaces a single crucial operation.

by Nusa

February 8 2026

Why Torsion Can't Be a Perturbation in This Instantiation

Geometric Unity does not introduce torsion as an extension of GR; it introduces it as the only covariant coordinate on the space of connections. This post explains why torsion must be defined as a difference variable relative to a background connection, and why treating it perturbatively is meaningless.

by Nusa

February 8 2026

Transport-Based Viewpoint: Connections as Primary, Metric as Induced

Once torsion is recognized as a coordinate on connection space, geometry becomes a transport problem.

by Nusa

February 8 2026

Physics on Y, Experience on X

Geometric Unity separates where physics lives from where it is experienced. This post introduces the native vs invasive distinction and explains how pullback filters physical content.

by Nusa

February 8 2026

What Counts as an Observable: Invariants After Pullback

This post defines observables in Geometric Unity: quantities that are invariant under transport symmetry and stable under pullback.