This tag is for Heisenberg's quantum mechanical uncertainty principle. DO NOT USE THIS TAG for uncertainty in a non-quantum measurement.
This tag is for Heisenberg's uncertainty principle in quantum mechanics. DO NOT USE THIS TAG for uncertainty in a non-quantum measurement: Use the error-analysis tag instead.
The Heisenberg Uncertainty Principle (HUP) states that $\sigma_x\sigma_p\geq\frac{\hbar}2$. This comes from the non-commutativity of matrix multiplication in Heisenberg's & Pauli's matrix mechanics.