A mathematically derived formula revealing the nature of Doppler effect and Cherenkov radiation

Currently, the nature of Doppler effect was not fully clear. For example, all Doppler effect formulas only work for constant velocities. Hence, what is the implication of a time-varying velocity in the Doppler effect? A general formula is mathematically derived purely from the principle of constant light speed, which provides a straightforward mathematical explanation of the fundamental nature of Doppler effect.  This single formula covers the classical and transverse Doppler effects and applies to time-varying velocities. It is also supported by existing experiments of Doppler effect and theoretically proved by Maxwell’s wave equations. This formula shows that the Doppler effect is the result of the time scaling factor between the light emission time and the observation time caused by the varying propagation delay due to the relative motion between the light origin and observer. Furthermore, this same formula also provides a straightforward mathematical explanation of Cherenkov radiation and Cosmological red-shift. The fact that all these physical phenomenons can be mathematically explained by the same general formula is interesting. These findings are just part of a new theoretic framework mathematically derived from the principle of constant light speed, named as “Asymmetry Theory”, which is comprehensive, self-consistent, and in harmony with all existing experiments.