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Energy gives mass. The Higgs mechanism only explains the mass of the elementary particles (electrons, quarks, W and Z bosons, etc). The vast majority of the mass of everything else comes from the energy of the strong force or the electromagnetism.

For example, the vast majority of the mass of a proton is explained by the immense energy of the three quarks and gluons being bound together by the strong force. The mass of the quarks themselves is only a tiny portion of that (about 1%), while gluons are massless.

The mass of the atom is further increased by the energy of the electromagnetic force. A hydrogen atom has one proton (1.6726×10^-24 g) plus an electron (9.1×10^-31 g), but the mass of the hydrogen atom is slightly higher than their sum (1.6735×10^-24 g).

The mass of a composite particle is at least partly coming from the famous E = mc².

The Higgs mechanism is ultimely just a way for elementary particles to have this type of energy as well, even in a void and without any other forces present. There is nothing special about it and spacetime, it works like any other field.



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