A Discussion on the Heisenberg Uncertainty Principle from the Perspective of Special Relativity (original) (raw)

In this note, we consider the implications of the Heisenberg uncertainty principle (HUP) when computing uncertainties that affect the main dynamical quantities, from the perspective of special relativity. Using the well-known formula for propagating statistical errors, we prove that the uncertainty relations between the moduli of conjugate observables are not relativistically invariant. The new relationships show that, in experiments involving relativistic particles, limitations of the precision of a quantity obtained by indirect calculations may affect the final result. Abstract Dans cette note, nous considérons les implications du principe d'incertitude de Heisenberg (HUP) lors du calcul des incertitudes qui influent sur les principales