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<blockquote data-quote="tomBitonti" data-source="post: 6874260" data-attributes="member: 13107"><p>This: I fully believe that a photon doesn't interact with itself. But I'm not particularly interested in that specific result, other that it arising from a false but interesting line of reasoning. I'm much more interested in the reasoning used to reach the result. (My background is pure math, with some depth in formal systems. I rather like proofs. To me, the form of an argument is as much an thing to be understood as the topic of the argument itself.)</p><p></p><p>From the interaction of two photons, what seems to happen is two EM fields interacting. Looking only locally, the two EM fields don't look different than two parts of the field of a single particle. Or don't seem to look different. I'm missing something in my view that the fields look the same.</p><p></p><p>That is an "aha" moment for me. Looking just at EM fields doesn't seem to capture enough information.</p><p></p><p>For example, the field of two photons which are in the same state seemingly might look the same as a field from one, looking at just a portion of the field. This seems possible by confining the single photon to radiate in half of the angle of the two photons. This *seems* possible, but I might be missing something.</p><p></p><p>Then the difference between the two fields doesn't seem to arise until the entire fields are viewed, with the two photon field summing to twice the sum of the single photon field.</p><p></p><p>Thx!</p><p>TomB</p></blockquote><p></p>
[QUOTE="tomBitonti, post: 6874260, member: 13107"] This: I fully believe that a photon doesn't interact with itself. But I'm not particularly interested in that specific result, other that it arising from a false but interesting line of reasoning. I'm much more interested in the reasoning used to reach the result. (My background is pure math, with some depth in formal systems. I rather like proofs. To me, the form of an argument is as much an thing to be understood as the topic of the argument itself.) From the interaction of two photons, what seems to happen is two EM fields interacting. Looking only locally, the two EM fields don't look different than two parts of the field of a single particle. Or don't seem to look different. I'm missing something in my view that the fields look the same. That is an "aha" moment for me. Looking just at EM fields doesn't seem to capture enough information. For example, the field of two photons which are in the same state seemingly might look the same as a field from one, looking at just a portion of the field. This seems possible by confining the single photon to radiate in half of the angle of the two photons. This *seems* possible, but I might be missing something. Then the difference between the two fields doesn't seem to arise until the entire fields are viewed, with the two photon field summing to twice the sum of the single photon field. Thx! TomB [/QUOTE]
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