Special Relativity “Meets” the Uncertainty Principle

Luca Nanni

Oleg V. Matvejev, VADIM N. MATVEEV

B. Kivel

Daniel M. Greenberger

We argue that the very existence of the weak Equivalence Principle can only be understood in terms of the Uncertainty Principle On presente des arguments montrant que l'existence meme du principe d'equivalence faible ne peut etre comprise qu'en relation avec le principe d'incertitude

Luca Nanni

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.

Sibel Başkal, Young Suh Kim, Marilyn E. Noz