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Theoretically, Photons don't have rest mass but they behave as material particles in many cases.
But is it possible to stop a photon without destroying it ie. Can we slow it down so much to make it almost at rest and if not Why?

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No, we cannot make photons travel at any value other than the speed of light. It is a postulate of the theory of relativity and it works because solutions to the equations of electromagnetism indicate that light/photons must travel at a constant speed regardless of observer. A way to think of it is like, because photons have zero rest mass that is why they can travel at the only other speed available that is less than the speed of light, that is: light speed.

One can presumably slow down light in optically denser media but in reality the light does travel at $c$ while bouncing and interacting with atoms in the medium so it only seems that light is slowed down by refraction.

  • So photons don't slow in a medium do they keep colliding which makes them apparently slow? – Abhishek Choudhary May 27 '18 at 09:57
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    Yes, indeed. In between interactions of absorption and re-emissions the photons always travel at $c$ but it's the extra time due to these interactions that makes it seem that light is slowed down. – Tausif Hossain May 27 '18 at 10:01