blue_sky said:
Thanks... but this looks like that electromagnetism doesn't generate space time curvature. I got it correctly?
blue
I'm not sure why you think that.
It's been demonstrated very - vigorously - that nuclear binding energies affect the mass of atoms. A coherent treatment of energy requires that electronic binding energies be treated in the same way as nuclear binding energies, that they affect the mass of atoms.
The way the treatment works is that a bound system has a lower mass than an unbound system.
It can be seen from the figures quoted that the total electronic binding energies are not a negligible part of the mass of atoms (.1% and .4% for Al and Gold).
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Note that in normal chemical reactions, only the outer electrons are involved. The energies here are low, the effect on mass is small enough to be ignored. But when you add together ALL of the electronic energy, esp. for heavy elements, it's a lot larger, because the inner electrons are very strongly bound, and the contribution to total energy is no longer negligible.
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There's some more data on the magnitude of electronic binding energies at
http://xray.uu.se/hypertext/EBindEnergies.html
but I haven't personally added up these numbers and computed E/c^2, I've been relying on my text (MTW's Gravitation) to be accurate about the total percentage of energy that's binding energy in these elments.
Comparing elements with a different amount of differing binding energies (i.e. different amounts of electronic binding energy, differing amounts of nuclear binding energy) in an Eotovos type balance should determine if elements with different sorts of energy distributions act differently with respect to gravity, or whether only the total energy matters.
This is actually a test of the equivalence principle.
To date, it's been found that only the total energy counts, it doesn't matter how much of it is nuclear binding energy, chemical binding energy, etc.