From the 1 of 11 linked papers with an AI index.
11 papers
Precision Positronium Spectroscopy as a Test of the Helium Ionization Energy Anomaly
J. Pérez-Ríos, D. B. Cassidy
Precise measurements of the metastable helium (1s)(2s) ionization energy have revealed a 9 discrepancy with QED theory that persists in isotopic measurements, suggestin…
Connections on Associative Varieties
Arvid Siqveland
The paper extends the concept of connections from smooth manifolds to associative varieties by using a faithful embedding of manifolds into associative varieties, and demonstrates…
Riemannian Geometry on Associative Varieties
Arvid Siqveland
We prove that the classical algebraic varieties over algebraically closed fields can be defined over arbitrary fields Then we prove that for associative algebras , there ex…
Associative Schemes and Subschemes
Arvid Siqveland
In the preprint arXiv:2511.07900 we proved that there exists a localizing ring for an associative ring with unit, and a direct sum of simp…
Localization in Associative Rings
Arvid Siqveland
In arXiv:2511.04191 we constructed schemes of objects in small categories which contained a set of basepoints with local representing (localizing) objects. Here we prove that the c…
Schemes of Objects in Abelian Categories
Arvid Siqveland
In the article Categorical Construction of Schemes, arXiv:2511.03433 we gave a natural definition of ordinary schemes based on the fact that the localization of a ring in a maximal…