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Say that a stationary (relative to me) source of light emits a photon with the energy level (as observed by me) appropriate to pair produce an electron-positron pair.

Meanwhile, a second observer travels towards the light source, thus blue-shifting the light, and hence observes a photon with more energy than that of the one I observed when stationary.

Upon observing the same pair-production, surely it is not possible that both observers see an electron positron pair because if the observer in motion (relative to the light source) saw an electron-positron pair, there would have to be extra photons emitted to compensate for the surplus energy and these are not observed by the stationary observer as to me, the photon seems to have just enough energy for an electron-positron pair.

Is this where, to the observer in motion, the particles seem to be moving faster, hence to them the particle's mass dialates and accounts for the 'extra' energy of the photon they observe?

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# Relativistic Quantum Mechanics?

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