| speed of light
for all electromagnetic waves, the speed is the product of wavelength and frequency. Frequency must, by its definition of cycle per unit period, be a rational number. For fractional periods imply the existence of a smaller fundamental period. So, there must exist also a smallest period which can be identically zero if time is a continuous function of itself. If the speed of light is known as an irrational number then the wavelength must be an irrational number so that the speed can be the product of an irrational and a rational number. |