Physicists cannot yet mathematically explain why subatomic particles have mass without the Higgs boson
The mathematical foundation of the Standard Model still cannot prove why subatomic particles possess mass, a mystery known as the Yang-Mills mass gap problem.
Quantum Yang-Mills theory describes the behavior of gluons and quarks, yet mathematicians have not yet proven that a 'mass gap' exists, which is necessary to explain why the force-carrying particles of the strong nuclear force have mass. While experiments show that 'glueballs' weigh approximately 1.5 GeV, the underlying equations have resisted rigorous proof since the theory's inception. This remains one of the seven Millennium Prize problems established in 2000.
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