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Lumifer comments on Stupid Questions, December 2015 - Less Wrong Discussion
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Why don't ordinary photons spontaneously collapse into black holes? You should get a singularity if the energy density in any region of space is high enough. But you can pick an inertial reference frame such that any given photon has arbitrarily high frequency (and thus energy) due to blueshift. Since any inertial reference frame is as valid as any other due to relativity, why don't all photons collapse under their own weight?
Quantum mechanics and relativity are not compatible. That's one of the big problems (probably even the biggest) of modern physics. From each one's point of view the other one is nonsense, the math breaks down.