Waves have energy without mass which can't be true in Einstein's equation E=mc^{2} If you work out that E=0 (mass of waves) times 300,000 c^{2} then its zero. Please can someone tell me why waves can have energy but without mass which in einstein's equation cannot be right. Thank you Scimaster
The proper equation is $$ E^2 = (p c)^2 + (m c^2)^2 $$ I guess that when you talk about "waves without mass," you mean light (photons). Photons have momentum, ##p^2 >0 ##, so ##E^2 > 0##.
Gamma radiation, like all electromagnetic radiation, has energy and no rest mass - but it's not at rest. If you were to take a box with a perfectly mirrored interior, so that light would bounce back and forth inside.... Its mass will be very slightly greater if there is light bouncing back and forth inside than if there were not. As the light is absorbed its energy will be absorbed into the walls of the box as heat, and the mass of the box will not change bevause there's still the same amount of energy in the box.