The Arithmoí Library

Collection

Explorations

Venturing into deeper waters of mathematical discovery.

  1. Explorations

    A Novel U(3) Group and Applications

    Jason Glowney · 18 pages

    An article discussing a novel U(3) group and its applications to quantum computing and other fields.

  2. Explorations

    An Imaginary Derivation of e

    Jason Glowney · 7 pages

    An article on an imaginary derivation of e and related concepts.

  3. Explorations

    Asymptotic Light Geometry

    Jason Glowney · 8 pages

    An article on asymptotic light geometry and its relations.

  4. Explorations

    Derivation of the Complex Unit Sphere

    Jason Glowney · 25 pages

    An article on the derivation of the complex unit sphere.

  5. Explorations

    Geometric Thoughts with Guest Algebra

    Jason Glowney · 3 pages

    An article on geometric thoughts with guest algebra.

  6. Explorations

    Gravitational Wave Signal Processing

    Jason Glowney · 2017 · 22 pages

    An article on gravitational wave signal processing.

  7. Explorations

    Imaginary Angles and the Connection Between

    Jason Glowney · 7 pages

    An article on imaginary angles and the connection between related concepts.

  8. Explorations

    Lie Groups and Lie Algebras

    Jason Glowney · 15 pages

    An article on Lie groups and Lie algebras.

  9. Explorations

    Pascal's Tetrahedron, Combinatorics, and Theory

    Jason Glowney · 14 pages

    An article on Pascal's Tetrahedron, combinatorics, and related theory.

  10. Explorations

    The Strange Attractor of the Lorenz System

    Jason Glowney · 2017 · 25 pages

    An article on the strange attractor of the Lorenz system.

  11. Explorations

    Polyplex Lie Geometry

    Jason Glowney · 22 pages

    A Multi-Metric Complex Geometry Structured by Lie Algebras in a Hilbertian Framework.