An object that is at rest with no mass has zero energy. ( m=0, p=0, E=0)
If there is no energy, or mass then such an object cannot exist.
Therefore, if an object exists such that it has no mass, it must have some kinetic energy so that it’s total energy is not 0. ( m=0, p≠0, E≠0). Eg: light.
Ps. If you consider light as a wave, a wave cannot exist if it’s not moving. The moment it stops moving it seizes to exist ( ie it loses all properties of a wave – time period, wavelength, frequency etc)
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