The Heisenberg Uncertainty Principle in quantum mechanics is intrinsic in the mathematical relationship between momentum and position of particles that are fluctuations in the Schrodinger wave equation. This is not simply a matter of imprecise measurement.
The equations of momentum and position are related by the wave equations developed by Fourier in the 18th century. These “Fourier pairs” always change such that the more narrowly you measure the wave of one, the more the other wave spreads out. Because these are wave amplitudes are complex numbers the smallest error you can theoretically achieve is Plank’s constant which is very small (much smaller than any experimental result we have can achieve) but not zero. Bottom line, there are no loopholes to HUP.
Correct.