27 citations · 69 across the 20 of their papers we have counts for
23 papers
Global and Local Nilpotent Bases of Matrices
Garret Sobczyk
In studying the unusual properties of a special Witt basis of a Clifford geometric algebra with a Lorentz metric, a new concept of local duality makes it possible to define any rea…
Itinerant Quantum Integers: The Language of Quantum Computers
Garret Sobczyk
The concept of positively and negatively compatible null vectors arises in the study of Clifford geometric algebras with a Lorentz-Minkowski metric. In previous works, the basic pr…
Geometric Algebras of Light Cone Projective Graph Geometries
Garret Sobczyk
A null vector is an algebraic quantity with square equal to zero. I denote the universal algebra generated by taking all sums and products of null vectors over the real or complex…
Spheroidal Domains and Geometric Analysis in Euclidean Space
Garret Sobczyk
Clifford's geometric algebra has enjoyed phenomenal development over the last 60 years by mathematicians, theoretical physicists, engineers and computer scientists in robotics, art…
Nested Coordinate Systems in Geometric Algebra
Garret Sobczyk
A nested coordinate system is a reassigning of independent variables to take advantage of geometric or symmetry properties of a particular application. Polar, cylindrical and spher…
Periodic Table of Geometric Numbers
Garret Sobczyk
Perhaps the most significant, if not the most important, achievements in chemistry and physics are the Periodic Table of the Elements in Chemistry and the Standard Model of Element…