They're immediate consequences of-and a a way of describing-quantum fluctuations. There's nothing mysterious about them anymore.

It's a bad idea to identify the history of physics with physics. People were indeed confused as they were in the process of discovering the existence of quantum fluctuations and of inventing the ways for describing them. There's no excuse anymore to stay in the state of confusion they were.

Dear Prof. Alwielland Q. Bello, adding a few sentences after the previous right answer, uncertainty relations are a powerful tool in the elastic scattering analysis in non-relativistic quantum mechanics in cases where the difficult task of a self-consistent field prevails.

To show a concrete example, low-energy excitations in unconventional superconductors have an imaginary term, where this imaginary part involves an independent scattering lifetime due to dressed fermion quasiparticles exposed to an atomic potential (due to impurities or stoichiometric because both cases produce disorder).

This represents a certain type of non-magnetic disorder in compounds such as strontium ruthenate or High Tc superconductors with strontium.

The use of the uncertainty relation in this case allows a simple and elegant evaluation of the non-equilibrium kinetic coefficients at very low frequencies in the so-called universal limit.

Please check the following work and references therein to see who was the first researcher to propose this elegant technique.

Equations 10, 11 12, 13, and 14 serve as an example.

Article Electronic heat transport for a multiband superconducting ga...

Best Regards.

Perhaps whats being descussed is

The topic of fluctuations in stat. Mechanics.

Uncertainty primciples in q. Mechanics are with xp, Et, Ltheta , 3 in no.