Experimental and Theoretical Content of Uncertainty Relations in the Group-theoretic Scheme of Quantum Mechanics

Compatibility of conservation laws and the uncertainty concept is considered. It is shown that the
last one does not enter known mathematical sets suitable for physical theory and compatible with
conservation laws at the same time.
It is established theoretical origin of uncertainty relations, this is connected with the group-theoretic
approach. The last one also demonstrates existence of relationship between non-commutativity and
irreversibility.
Connection of group-theoretic approach with experimental data is also considered.