 The Notre Dame fire caused extensive damage to the cathedral's structure, including the collapse of its iconic spire. To ensure the authenticity of any future reconstruction efforts, it is important to monitor the remaining ruins and reconstruct them accurately. This paper proposes a digital twin framework to help with this process. It uses reverse engineering, spatiotemporal tracking of assets, and operational research to create a digital replica of the ruined nave. This digital twin allows for the parallel unfolding of both physical and digital processes, which helps to validate the reconstruction problem and increase solution performance. Ultimately, this framework provides a way to inform a successful hybrid reconstruction hypothesis. This article was authored by Antoine Grosche, Anaïs Gillum, Livio de Luca and others.