Einstein Contraction Fails in a Gauge Setting
The Ricci trace is a perfectly good move on tensor curvature—until curvature lives in $\mathrm{ad}(P_H)$.
GitCitadel
People on the GitCitadel project or who are suppliers or development/testing partners. Projects that are spin-offs of GitCitadel projects.
Curated by
Silberengel
FOUR, XVIII
A work of e.e. cummings, from "is 5", 1926
Gauge-Covariant Bookkeeping: Double Disease Cancellation
Two bad transformation laws, one good variable.
The Distinguished Background
Choosing an affine origin (without adding structure) so transport becomes well-defined.
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.
The Radiance of a Gentle Spirit
A Gentle Spirit attracts people to Jesus like a light attracts moths
Native vs Invasive Fields: Pullback Rules that Prevent Cheating
Fields don't live on spacetime by default—they must survive pullback from the observerse.
Axial Torsion as the Default: Where It Lives and What It Does
Axial torsion is the engine that distinguishes chirality, drives overlap physics, and deforms geometry from the inside.
Axial Torsion as the Default: Where It Lives and What It Does
Axial torsion is the engine that distinguishes chirality, drives overlap physics, and deforms geometry from the inside.
DNA as Cryptography: Private Keys, Public Keys, and Biological Signatures
DNA functions like a private key: the active strand remains hidden while deterministically producing a specific protein, which acts like a public key—stable, comparable, and extremely difficult to reverse back into its exact genetic source. When a cell responds to a stimulus by expressing a specific protein, that protein behaves like a biological signature, and its precise binding and functional correctness serve as verification that it originated from the intact underlying DNA.
Metric Split Ansatz
We introduce a single scalar that controls how the ambient geometry breathes along unobserved directions.
Metric Split Ansatz
We introduce a single scalar that controls how the ambient geometry breathes along unobserved directions.
Immersion and the Tangent/Normal Split
The immersion is an observation map that carves spacetime into the ambient geometry and defines what survives pullback.