Natural Science Forum / Physics / Relativity / July 2005

Local field definitions for individual photons, involving only one variable,
the energy absolute wavelength

Basic equations of electromagnetic mechanics of particles

Lambda = (c h)/(Energy in joules)

E = (pi e)/(eps_0  alpha^3 lambda^2)

B = (pi mu_0 e c)/( alpha^3 lambda^2)

Where

e = unit charge
c= speed of light
h=Planck's contant
lamba = wavelength of photon considered
alpha = fine structure constant

c=E/B

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Local field definitions for moving massive particles

Example test particle being the electron, the massive particle's wavelength
used will be Lambda_C (Compton's wavelength)

E = [(pi e) (lambda_C^2+lambda^2) sqrt(4 lambda lambda_C + lambda_C^2)]
       /[(eps_0 alpha^3) (lambda_C^2 lambda^2) (2 lambda + lambda_C)]

B = [(pi mu_0 e c) (lambda_C^2 + lambda^2)]/(alpha^3 lambda^2 lambda_C^2)

Calculation of relativistic velocity of test particle

v=E/B

Exact same velocity curve as the traditional SR equation.

All equations fully compliant with Maxwell and Lorentz.

Simplified relativistic velocity equation using only the absolute
wavelengths of massive particle and carrying energy

v=[c sqrt(4 lambda lambda_C + lambda_C^2)]/(2 lambda + lambda_C)

Same velocity curve as the traditional SR equation

A little mathematical challenge for physicists

To retro-derive them to known classical formulas
and explain why they work

André Michaud