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math-ph2023
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…
physics.gen-ph2023
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…
math.GM2023
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…