Theory

• Introduction to Wave Electricity
• The Hidden Geometry of the Hyperbolic Unit
• A Unified Geometric Model of Wave and Particle Motion
• Geometric Origin of the Generalized Rydberg Law in the I-Basis
• From an Idempotent Basis to a Geometric Model of the Electron’s Internal Structure
• Double inner orbit of the electron, spinor periodicity and magnetic precession
• Rotation as a Consequence of Norm Preservation in an Idempotent Basis
• A new Cartesian basis of two independent complex planes
• Movement through Complex Modulation of a Cartesian Basis
• Internal motion of the electron and the origin of its magnetic moment
• The Schrödinger Equation and the Origin of Mass in a New Idempotent Basis
• The origin of the Lorentz factor and energy invariant from the hyperbolic unit
• Wave Electricity (WEL). Part 1. Introduction
• Wave electricity. Part 2. General form of the law of interactions

Geometric representation of particle interactions

• 1. States of particles and their transformations in the i-basis
• 2. Geometric rule of particle interaction
• 3. Branches as the basis for particle interaction
• 4. Probabilities and dynamics of branch restructuring

Applications

• Wave or Particle? A New Geometric Interpretation of Duality
• Particle mass as a geometric projection. Why is the mass of a photon zero?
• Appendix: Energy and momentum as projections of a single vector of motion
• Appendix: Commutative algebra for a new Cartesian basis
• Dark matter as a scalar potential
• Second magnetic field in an electron
• 2.1 Mathematical Model
• 2.2 Mathematical Model. Completion
• Coefficientless Coulomb's Law and Ampere's Law