A single-unified and mathematically-derived formula of Asymmetry Theory for the Doppler Effect, Cosmological Red-shift and Cherenkov radiation

The well-established principle of the constancy of the velocity of light can be mathematically represented with the general equation O(t_o)-S(ts)=c(t_o-ts). Based solely on this equation without including any other assumptions, a comprehensive set of ground-breaking results was derived solely through strict mathematics, which is named “Asymmetry Theory”. In this theory, one single formula explains the fundamental nature of the Doppler Effect, Cosmological red-shift and Cherenkov radiation, which is the time scaling factor between the light emission time and observation time.

While the Doppler effect was well known for century, many different formulas are required to fit different scenarios and none works for the scenario including time-varied velocity, which indicates that we might not fully understand its nature yet. This mathematically derived general formula clearly explains the nature of Doppler effect and hence, applies to all scenarios including the time-varied velocity case. Traditionally, the Cosmological red-shift was regarded as a different phenomenon from the Doppler effect. By mathematically deriving the Cosmological red-shift equation from this exactly same general formula in Asymmetry theory, we show that they are the same in nature. Furthermore, this formula also provides the mathematical explanation of Cherenkov radiation. For example, the emission angle of Cherenkov radiation is now a straightforward mathematical derivation from this general formula instead of ad-hoc explanation.

In summary, Asymmetry Theory provides a single-unified and mathematically-derived formula for the Doppler Effect, Red-shift and Cherenkov radiation, which explains their fundamental nature.