5 papers
The catastrophes of algebras
Fred Greensite
A parametrized family of pseudo-Finsler norms is derived from application of a particular transform procedure to the space of ``normalized" trace forms of any given real finite-dim…
Origin of the uncurling metric formalism from an Inverse Problems regularization method
Fred Greensite
As we have previously shown, recognition of an algebra's group of uncurling metrics leads to a generalization of the usual algebra norm and a novel set of isomorphism invariants. I…
Cosmology from a non-physical standpoint: an algebraic analysis
Fred Greensite
We present a non-physical interpretation of the Cosmological Constant based on a particular algebraic analysis. This also introduces some novel algebraic structures, such as ``unit…
A formulation of Euclidean geometry leading to recognition of a new class of algebra isomorphism invariants
Fred Greensite
We present alternative postulates for Euclidean geometry whose merit is that they lead to a new class of invariants and associated geometries for real finite-dimensional unital ass…
Unital algebra structure and generalized algebra norms
Fred Greensite
We present a generalization of the notion of an algebra norm relevant to real finite-dimensional unital associative algebras. Among other things, this leads to a novel set of algeb…