geometry
Articles with this tag
by Nusa
April 19 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
April 19 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.