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In the classical Higgsless $M^4\times S^3\times S^1$ Kaluza-Kleingauge-theory vacuum, torsion-induced loss of the $SU(2)\times U(1)$left-invariance generates a gauge-boson mass term, in co-existence with thegauge-field kinetic term in the vacuum Hilbert-Einstein action. This iscompulsory in the sense that having one of these terms without the other wouldmean violation of basic theorems on holonomy. The effect could be lost only atthe very high massless-EW energy scale, where the ground-state manifoldapproach for the gauge-theory vacuum would be inapplicable. Created, as theyare, from and as part of pure geometry, these gauge-boson masses reproduceprecisely the spectum of the well-known experimental result. The apparentlyexploitable geometric elegance and the ensuing fundamentally geometric originof mass may provide new theoretical and experimental perspectives around andwell above the EW scale.

Higgsless EW gauge-boson masses from K-K geometry with torsion