Unveiling the Doppler Effect: A Mathematical Derivation from Maxwell's Equations

Doppler effect is the change in the observed frequency of light caused by the relative movement between the emitter and the observer. Although Maxwell's equations form the cornerstone of electromagnetism, the conventional belief posits their invariance to observers, irrespective of their motion, making it challenging to directly derive the Doppler effect from these equations.

Based solely on the principle of the constancy of light velocity, a comprehensive set of ground-breaking results was derived through strict mathematics, named “Asymmetry Theory”, which is aligned with all established experiments and mathematically explains Stellar aberration, Sagnac effect, Mass-Energy relationship, Cherenkov radiation, Doppler effect … Contrary to conventional belief, Asymmetry theory derived by mathematically solving Maxwell’s equations:

1. Constant light velocity independent of the motion of emitter but not the observer;

2. A single Doppler effect formula vs. current numerous forms;

3. Galilean invariance of Maxwell’s equations.

Our methodology retains the original form of Maxwell's equations, introducing a "time scaling" factor to explain observer perceptions. Asymmetry Theory contributes a fresh perspective to electromagnetic theory, unifying mathematical elegance with experimental coherence.