Insights Into Nonlocality in de Broglie–Bohm Theory From the Perspective of Measurements

ABSTRACT The de Broglie–Bohm (dBB) theory was first proposed by L. de Broglie in 1927, nearly a century ago, and has now become an indispensable complement to the orthodox interpretation of quantum theory. As a nonlocal and contextual hidden‐variable theory, the dBB theory is compatible with Bell's inequality and the Kochen–Specker theorem. With the establishment and development of the weak measurement formalism, average Bohmian trajectories were experimentally reconstructed in 2011. Subsequent experiments in 2016 and 2019 provide a visual manifestation of the predicted nonlocality of Bohmian trajectories. Recently, stemming from the Englert–Scully–Süssmann–Walther (ESSW) Gedanken experiment, the concept of “nonlocal energy alteration” (i.e., nonlocal change of energy in space) has been proposed and observed on a quantum memory platform. This paper first reviews the evolution of the dBB theory, then summarizes recent experimental research progress, particularly providing insights into the redistribution of energy in space‐like intervals, and finally prospects for future research in this field.