3 papers
math-ph2026
Homothetic Hodgede Rham Theory and a Geometric Regularization of Elliptic Boundary Value Problems
Fereidoun Sabetghadam
We introduce a homothetic extension of classical Weyl integrable geometry by generalizing the usual linear gauge transformations to affine homothetic transformations centered at a…
math-ph2025
A Homothetic Gauge Theory and the Regularization of the Point Charge
Fereidoun Sabetghadam
We introduce a Homothetic Hodge de Rham (HHDR) theory that extends the de Rham complex and Hodge decomposition to homothetically dressed differential forms. The dressing, governed…
math-ph2020
Dark Fields do Exist in Weyl Geometry
Fereidoun Sabetghadam
A generalized Weyl integrable geometry (GWIG) is obtained from simultaneous affine transformations of the tangent and cotangent bundles of a (pseudo)-Riemannian manifold. In compar…