The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.
Weyl symmetry of the gradient-flow in information geometry
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We have revisited the gradient-flow in information geometry from the perspective of Weyl symmetry. The gradient-flow equations are derived from the proposed action which is invariant under the Weyl's gauge transformations. In Weyl integrable geometry, we have related Amari's $\alpha$-connections in IG to the Weyl invariant connection on the Riemannian manifold equipped with the scaled metric.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
support 1representative citing papers
citing papers explorer
-
Revisiting Coincident GR in Internal STEGR Formulation
The paper derives internal-STEGR field equations, recovers coincident GR as the coincident-gauge sector, and finds that massive test particles obey a norm-flow equation instead of geodesics.