E=mc^2 Proof: Is it OK? - Adam Aulton

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    E=mc^2 Proof
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The discussion centers on the validity of Adam Aulton's reasoning regarding E=mc^2, which is based on Einstein's thought experiment. While the argument suggests that energy confined in a box contributes to its rest mass, it does not conclusively prove E=mc^2 as a universally applicable equation. Participants acknowledge the reasoning's validity for energy and momentum conservation but emphasize that this does not equate to a definitive proof of the equation itself. The nuances of interpreting Einstein's principles are highlighted, indicating a need for further exploration. Overall, the conversation reflects a critical examination of the relationship between energy, mass, and Einstein's famous equation.
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I don't know that I would call it a "proof", exactly, but the reasoning described in the post, which is based on a well-known thought experiment of Einstein's, is valid, at least as far as establishing that the energy of radiation confined in a box must contribute to the rest mass of the box in order for energy and momentum to be conserved. But that doesn't necessarily establish ##E = m c^2## as a universally valid equation.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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