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Originally Posted by lyndonashmore
Vague, vague?
It isn't vague at all.
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You've never given a quantitative analysis of the total momentum and energy conservation of the system, so, yes, I call that vague.
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Originally Posted by lyndonashmore
momentum is only conserved if there are no external forces acting. In "physics according to Sylas volume 1" he expects momentum to be conserved, but we don't.
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If one wants momentum to be conserved then one must look at the universe as a whole - including when the photon was transmitted.
A wibbly wobbly when it was created is cancelled by a wibbly wobbly when it was absorbed.
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Momentum is conserved in any closed system. So for example, if we consider the system of the incoming photon and the plasma, and ignore outside interactions, we should be able to show conservation of both momentum and energy. In the broadest sense, yes, perhaps the only truly closed system is the entire universe, but I'm sure you'll agree that we can assume conservation of mometum and energy when working with orbital dynamics in the solar system, say, without needing to take into account interactions with the Andromeda galaxy. Or will you agree to that? Let me know, if you don't.
Similarly, if we have a photon interacting with a plasma, we can consider just the plasma and the photon as a closed system. If there are other outside forces involved with the photon and the plasma that prevent conservation of momentum and energy, you should be able to identify and calculate them. If not, you should be able to work out the details, assuming that only the photon and the plasma are involved, yet you've failed, again, to give a quantitative analysis of the matter.
If only including three electrons (the one doing the absorption and its nearest neighbors, presumably) won't allow you to do a quantitative analysis, then first I'll ask why you brought up that model in response to questions about conservation of energy and momentum. And second, I'd expect you to expand your simple model, so that you can show it. Remember, burden of proof here is on you, if you expect to convince anyone to take your ideas seriously.
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Originally Posted by lyndonashmore
The momentum of the electron in a direction perpendicular to that in which the photon was originally travelling is not conserved because there is an external force acting on it - due to the oscillating electric fields of the photon. This is why it gains energy and momentum in this direction.
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The electric field of the photon isn't an external force, it's part of the system in question. The incoming photon has a definite momentum, the electrons with which it's interacting have a definite momentum. As with any interaction, you can add those all up, and it has to be the same before and after the interaction takes place. Or are you actually saying that your theory violates conservation of momentum?