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The tight connection between mass and energy unveiled by Special Relativity,summarized by the iconic formula $E = mc^2$, has revolutionized ourunderstanding of nature and even shaped our political world over the pastcentury through its military application. It is certainly one of the mostexhaustively-tested and well-known equations of modern science. Although wehave become used to its most obvious implication -- mass-energy equivalence --,it is surprising that one of its subtle -- yet, inevitable -- consequences isstill a matter of confusion: the so-called hidden momentum. Often considered asa peculiar feature of specific systems or as an artifact to avoid paradoxalsituations, here we present a new relativistic "paradox" which exposes the truenature and ubiquity of hidden momentum. We also show that hidden momentum canbe forced to reveal itself through observable effects, hopefully putting an endto decades of controversy about its reality.

Hidden but real: new relativistic "paradox" exposing the ubiquity of hidden momentum