I understand that Higgs mechanism “gives” mass to particles in QM sense. My first question is, why it also gives mass in GR sense, bending space-time? Of course, I don’t expect an answer now as it is definitely a TOE/Quantum gravity territory. However, let me rephrase my question in a narrower sense. Are there any constraints that guarantee that any invariant mass in QM sense is also a mass in GR sense? What if, say, only Higgs mechanism gives “GR” mass, and neutrinos (as I understand their masses are not explained by Higgs?), while they have tiny mass in QM sense don’t bend space-time at all (even they have to react to gravity, so their path thru space-time curves like light) Invariant mass is not conserved, so such QM-but-not-GR mass should not lead to bad paradoxes?