attractive force between objects. In fact if it were, it would not be able to have any effect on (massless) photons -- but it most certainly does (look up "gravitational lensing"). The ability of gravity to affect photons (electromagnetic radiation) was predicted by Einstein. When it was finally observed, Einstein instantly became a lot smarter than he was previously. It was huge.
No they don't. They have energy and momentum but no mass. This is a common misconception see for example:
I hate appeals to authority though so for a quick derivation. If you take the formuala for relativistic mass given a rest mass mo and a velocity v = c(1-e) then as e -> 0
m = gamma.mo
where gamma = 1/sqrt(1-v^2/c^2) = 1/sqrt(1-(1-e)^2) = 1/sqrt(2e-e^2)
so lim e->0 of m = 0 / sqrt(2e-e^2) = 0/sqrt(0) = sqrt(0) = 0
Convention today is to consider the rest mass as the clear definitive characteristic of fundamental particls to avoid hair splitting semantic arguments about the relativistic mass of massless particles.
Mathematicians please excuse the sloppy use fo limits here.
We still don't know for certain that photons are truly massless although there is a very low experimental upper bound on it. Nuetrinos are looking increasingly like they are not quite massless and have different masses to boot.
Of course *provided* that they start out with a non-zero rest mass in the first place.
Regards, Martin Brown
** Posted from