⚡ Electrodynamics
The foundation of CPT Physics. Replacing the Lorentz force with the velocity and acceleration dependent Weber force, and deriving fundamental properties from confined photon geometries.
Key Equation
F_Weber = kqq'/r² × (1 - ṙ²/2c² + rr̈/c²)
Core Concepts
Weber Force Law
The full Weber force law F = kqq'(r̂/r²)(1 - ṙ²/2c² + rr̈/c²). Velocity and acceleration dependent. Derives Coulomb as the static limit. Explains why this replaces both Coulomb and Lorentz.
Confined Photon
A photon confined on a Clifford torus trajectory. Its group velocity in the lab frame gives the observed particle mass. This is the mechanism by which matter mass is electromagnetic.
Charge Quantisation
Hopf charge maps to U(1) winding number. Charge is quantised because only integer winding numbers are topologically stable. Derives e from the Hopf fibration.
Compton Wavelength
The Compton wavelength λ_C = h/mc emerges from the torus knot geometry. Derived from first principles, not postulated.
Fine Structure Constant
The fine-structure constant α ≈ 1/137 from Weber electrodynamics. Power-law scaling α¹ confirmed via wave-mechanical dipole coupling. Multiple approaches investigated.
Maxwell Limit
Weber's law reduces to Maxwell's equations in the appropriate limit. Establishes that CPT is consistent with all classical EM predictions.
Radiation and Decay
How do torus knot particles radiate? Decay modes and photon emission from topological transitions. Open investigation.