Electrodynamics
EstablishedCompton Wavelength
The Compton wavelength λ_C = h/mc is not a postulated quantum of length — it is the inverse of the confined photon's oscillation frequency, derived from the torus knot geometry.
In standard quantum mechanics, the Compton wavelength is often treated as a characteristic length scale below which quantum effects dominate. However, in the CPT derivation, the confined photon on oscillates at frequency —the rest mass energy expressed in frequency units.
The Compton wavelength
The Compton wavelength is simply the spatial period of this oscillation. This means Compton scattering is physically interpretable: the photon probe "resonates" with the confined photon when its wavelength matches .
Some key numerical values highlight this scale:
- Electron:
- Proton:
The ratio of the electron to proton Compton wavelengths naturally yields .
Torus knot radius and reduced Compton wavelength
Source Documents
The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.
Documents open in the CPT Research Library — a formatted viewer for all source research files.