Conservation law of mechanical energy of photons

We call the energy of light quantum due to the change of wavelength the elastic potential energy of light quantum. Mathematical description: EK=k ?? 2/2, where k is the medium constant ?? Is the change of wavelength, EK is the elastic potential energy of photons. The essence of conservation of mechanical energy of light quantum is that the kinetic energy and elastic potential energy of light quantum system can be transformed each other, but the total mechanical energy of light quantum remains unchanged. This law is called the law of conservation of mechanical energy of photons. Its mathematical description: mc2/2=mv2/2+k ?? 2/2, where m is the mass of the light quantum, v is the speed of the light quantum in addition to the vacuum, c is the speed of the light quantum in the vacuum, k is the medium constant (equivalent to the stiffness coefficient of the spring, especially: k=0 in vacuum) ?? Is the change in wavelength (i.e., the difference from the wavelength in vacuum). The law of conservation of optical quantum mechanical energy can be verified by experiments, and it can be easily verified by current scientific and technological means.