How Do Quark Matrix Masses Relate to Einstein's E=mc^2?

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SUMMARY

The discussion centers on the relationship between quark matrix masses and Einstein's equation E=mc². It establishes that the masses of quarks are represented by two 3x3 matrices, which are frame-independent quantities. However, the correlation between these matrix masses and E=mc² remains unresolved, particularly regarding the non-diagonal elements of the matrices. The conversation highlights the ongoing uncertainty in understanding fermion masses and the implications of the Higgs mechanism and Yukawa couplings.

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Ruslan_Sharipov
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Recently I have managed to understand some basics of the Standard Model and even have written some note about it (see http://arxiv.org/abs/math.DG/0605709" ). The quark masses there are matrix quantities. Two tripples of quarks (the upper row - one from each generation and the lower row - one from each generation) have matix masses. I. e. the masses of 6 quarks are given by two 3x3 matrices. How such a matrix mass correlates with the famous Einsteins's formula E=mc^2. Especially its non-diagonal elements? I think this question is worth to discus here.

Ruslan Sharipov,
algebra & geometry group of Bashkir State University,
cell phone +7(917)476-93-48
 
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Ruslan_Sharipov said:
How such a matrix mass correlates with the famous Einsteins's formula E=mc^2.

It doesn't. We don't understand yet where the fermion masses come from. Even if the Higgs mechanism turns out to be correct, we still won't know what they are, because we will instead have to aks why the Yukawa couplings take on the values they do.

Incidentally, do you see a problem with what you wrote in your post? Energy is frame dependent, but the masses you wrote down in your matrix are frame independent. Do you understand how this is resolved?
 

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