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If energy required to accelerate a particle to the speed of light is infinite then where do they get it from?

But first if photon's are massless, then why do they collide to some other thing and get reflected as in our daily life or get deflected after colliding to an atom in the sun and just move inside the sun for a long time before escaping it?

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It's not terribly clear what you're trying to ask. Try to format your question more like: "I know that. What about this?" –  askewchan Feb 26 '13 at 18:02
    
Possible duplicates: physics.stackexchange.com/q/3541/2451, physics.stackexchange.com/q/20289/2451 and links therein. –  Qmechanic Feb 26 '13 at 18:06
    
This asks more about their source of energy than acceleration, which could also be a duplicate. –  askewchan Feb 26 '13 at 18:09
    
It's rather clear that it asks about the source of energy required to accelerate a photon, then asks about why do they interact if they are massless etc. Anyway, hopefully we've covered both bases :-) –  alexarvanitakis Feb 26 '13 at 18:13
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At some point you just have to let go the pop-sci heuristics and dig into the math. If you don't you end up asking a endless series of question like this that are founded on fundamental misunderstandings of the physics. Light has no mass (in the proper meaning of rest mass) and so (1) always moves at c and (2) doesn't have to worry about the apparent magnification of that mass. –  dmckee Feb 26 '13 at 18:52
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4 Answers

Photons have always been moving at the speed of light, they were not accelerated to that speed; you will see that it's going to be difficult to even conceptualise photons accelerating once you learn about special relativity.

In addition, the relation of velocity to momentum is different in special relativity in comparison to Newtonian mechanics so that it is in fact possible for a zero mass particle to carry momentum, and thus collide etc

EDIT: You can see this using the energy-momentum relation: If you set m=0 the formula still makes sense.

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Photos get their energy from all sorts of events, but that energy goes into creating the photon, rather than accelerating it. Photons can be created, or radiated, by other energy sources, for example electricity (like a light bulb), nuclear reactions (like the sun or radioactivity), or a particle collision.

When photons collide or reflect they are actually in a sense being absorbed (annihilated) and a new photon is emitted (created). In this case the first photon provides the energy to create the second one.

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Your first sentence is correct. You said acceleration to light speed takes infinite energy - yes its true. We don't know for sure about photons but WE think they are not accelerated! They are created at this speed so no problem with infinity arises.

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The energy required to accelerate a massive particle to the speed of light is infinite, yes. Photons are massless, though, so they travel at the speed of light regardless of what amount of energy you put into them. (It doesn’t really make sense to talk about accelerating a photon, since it will always travel at the speed of light.)

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protected by Qmechanic Nov 7 '13 at 0:49

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