The European Organization for Nuclear Research (CERN) is one of the oldest, largest, and most emblematic European research infrastructures. Its history, as expressed through narratives of its own organizational identity, does not only reflect the development of its technoscientific activities but also strongly references a multiplicity of performances of Europe. By analysing these narratives of organizational identity over nearly seven decades, it is possible to observe an ongoing coproductive relationship between technoscientific and sociopolitical orders—more specifically between particle physics and Europe. Furthermore, there has been a considerable shift in the justificatory and explanatory relationship between these orders. In its first three decades, CERN was envisioned as an organization in which European unity could be accomplished through science. A broad vision of science as a common European language contributed to an imaginary of postwar Europe (re-)united through its cultural/scientific roots. Roughly since 1990, however, CERN has been presenting itself as a ‘laboratory for the world’, thereby constructing a new imaginary of Europeanness as an organizational and cultural resource to support global particle physics. Thus, there has been a narrative shift from European collaboration being promoted through science, to science on a world scale being promoted by a specific idea of Europeanness. Studying the temporal dynamics of coproductive relationships like these sensitizes us to shifts of balance between sociopolitical and technoscientific orders: it reveals which orders are narrated as drivers and which as driven as well as how this opens up or closes down justificatory narratives and ways of acting.