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Yes. The ionisation energy of hydrogen is about $13.6$ eV so if you add at least this much energy to the electron then you have freed it from the hydrogen atom. The ionisation energy is the analogue of escape velocity in planetary dynamics. The free electron will still be attracted to the proton (because the photons that mediate the electromagnetic force ...


2

Let's work with these summarises of Einstein's argument and Bohr's response, the latter repeating the former's assumptions about relativity and gravity. The response notes$$\color{red}{\Delta E}\color{blue}{\Delta t}=\color{red}{c^2\Delta m}\color{blue}{c^{-2}gt\Delta q}=\color{orange}{gt\Delta m}\Delta q\ge\color{orange}{\Delta p}\Delta q,$$where the red ...


1

There is a calculation of the vacuum energy in quantum mechanics which mismatches that of general relativity by roughly a hundred orders. Nevertheless, it predicts something qualitatively that is theorised in GR. Moreover, Feynman in his lectures on gravitation attempts to derive GR from quantum mechanics. He actually gets quite far. Finally, there is string ...


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