The minimal interaction induced by the translation subgroup has a gap in
the low-symmetric state.
The paper investigates the low-symmetric state of the compensating field
of the distortion tensor and proves that there is a gap in this state.
It is shown that the distortion tensor is the compensating field of the
minimal interaction induced by a translation subgroup. In this paper,
for the first time, an exact wave solution for sound pressure in a
continuous medium is obtained from the equations of state for the
distortion tensor. It is shown that the sound is described as
“massive” wave of the distortion tensor, the spectrum of which has the
minimal frequency, which corresponds to a gap. The presence of a gap in
the low-symmetric state gives reason to believe that the distortion
tensor, as the compensating interaction field, describes a strong
fundamental interaction. As it is known, the description of the gap in
the strong fundamental interaction has been declared a Millennium
problem by the Clay Mathematical Institute.