by Nusa

March 10 2026

Einstein Contraction Fails in a Gauge Setting

The Ricci trace is a perfectly good move on tensor curvature—until curvature lives in $\mathrm{ad}(P_H)$.

by Nusa

March 10 2026

The Shiab Operator: Definition and Geometric Meaning

Shiab is the Einstein projection rebuilt out of transport, wedge, and $\ast_Y$—so gauge symmetry survives.

by Nusa

May 5 2026

Projector E: what “gravitational block” means operationally

A block is not a coordinate corner—it is a parallel subbundle selected by transport.

by Nusa

March 10 2026

The calibrator form and what it selects

Normal saturation is the “trace” you are allowed to take in a gauge-covariant ambient theory.

by Nusa

March 22 2026

First order torsion-first field equation: structure and interpretation

If torsion-first is going to mean anything operational, the action has to be written in variables you are actually allowed to vary. The only thing you can safely push through an Euler-Lagrange variation is a covariant field on $Y.$ That field is the augmented torsion $T.$

by Nusa

April 18 2026

Second-order theory as a square: what you gain, what you lose

The square is where you buy robustness, at the price of admitting extra solutions.