Reconstructing Quantum Field Theory from an Educational Perspective

The research work concerns the analysis of the foundations of Quantum Field Theory carried out from an educational perspective. The whole research has been driven by two questions: • How the concept of object changes when moving from classical to contemporary physics? • How are the concepts of field and interaction shaped and conceptualized within contemporary physics? What makes quantum field and interaction similar to and what makes them different from the classical ones? The whole work has been developed through several studies: 1. A study aimed to analyze the formal and conceptual structures characterizing the description of the continuous systems that remain invariant in the transition from classical to contemporary physics. 2. A study aimed to analyze the changes in the meanings of the concepts of field and interaction in the transition to quantum field theory. 3. A detailed study of the Klein-Gordon equation aimed at analyzing, in a case considered emblematic, some interpretative (conceptual and didactical) problems in the concept of field that the university textbooks do not address explicitly. 4. A study concerning the application of the “Discipline-Culture” Model elaborated by I. Galili to the analysis of the Klein-Gordon equation, in order to reconstruct the meanings of the equation from a cultural perspective. 5. A critical analysis, in the light of the results of the studies mentioned above, of the existing proposals for teaching basic concepts of Quantum Field Theory and particle physics at the secondary school level or in introductory physics university courses.

Fra il nome e la storia. Trasformazioni del discorso politico e concetto di classe al principio della monarchia di Luglio (1831-1832)

La ricerca indaga tensioni e trasformazioni che investono le principali correnti di pensiero politico in Francia nei primi anni della monarchia di Luglio, e vi osserva l’emergere del concetto di classe. Assumendo la dimensione dell’avvenimento come punto di intersezione fra storia e teoria, l’elaborato si concentra sul periodo novembre 1831-giugno 1832 per analizzare il modo in cui, nell’ordine del discorso politico repubblicano, liberale e socialista, le vicende di questi mesi vengono interpretate cercando di dar nome alle figure sociali che esse fanno irrompere nel dibattito pubblico. Il titolo Fra il nome e la storia fa dunque riferimento allo sforzo di indagare il campo di tensione che si apre fra concreto divenire storico e grandi operazioni di nominazione che segnano l’affiorare di strutture concettuali della lunga durata. L’emergere della nozione di classe operaia e delle categorie che intorno a essa si organizzano viene interpretata come una «formazione discorsiva» che pone in questione significato e confini del politico. La frattura del 1848 è assunta come orizzonte e margine esterno della ricerca nella misura in cui si ipotizza che essa segni una prima affermazione del regime di verità di tale formazione discorsiva: lo statuto politico del lavoro. L’elaborato consta di quattro capitoli. I primi tre indagano la riflessione sul politico e la funzione che in essa svolge il concetto di classe a partire dall’interpretazione di alcuni avvenimenti del tornante 1831-32 proposta nel discorso repubblicano del quotidiano «Le National» e della Société des Amis du Peuple, in quello del liberalismo dottrinario di François Guizot e in quello socialista nascente, prima del movimento sansimoniano, e poi muovendo fino al 1848 francese con l’analisi propostane da Karl Marx. Il quarto capitolo indaga infine la dimensione del «sociale», la sua elaborazione e articolazione attraverso il lavoro di studio e oggettivazione delle figure del mondo del lavoro.

Advanced voxel-based CAD modelling for FSI simulations for automotive structures design

Additive Manufacturing (AM) is nowadays considered an important alternative to traditional manufacturing processes. AM technology shows several advantages in literature as design flexibility, and its use increases in automotive, aerospace and biomedical applications. As a systematic literature review suggests, AM is sometimes coupled with voxelization, mainly for representation and simulation purposes. Voxelization can be defined as a volumetric representation technique based on the model’s discretization with hexahedral elements, as occurs with pixels in the 2D image. Voxels are used to simplify geometric representation, store intricated details of the interior and speed-up geometric and algebraic manipulation. Compared to boundary representation used in common CAD software, voxel’s inherent advantages are magnified in specific applications such as lattice or topologically structures for visualization or simulation purposes. Those structures can only be manufactured with AM employment due to their complex topology. After an accurate review of the existent literature, this project aims to exploit the potential of the voxelization algorithm to develop optimized Design for Additive Manufacturing (DfAM) tools. The final aim is to manipulate and support mechanical simulations of lightweight and optimized structures that should be ready to be manufactured with AM with particular attention to automotive applications. A voxel-based methodology is developed for efficient structural simulation of lattice structures. Moreover, thanks to an optimized smoothing algorithm specific for voxel-based geometries, a topological optimized and voxelized structure can be transformed into a surface triangulated mesh file ready for the AM process. Moreover, a modified panel code is developed for simple CFD simulations using the voxels as a discretization unit to understand the fluid-dynamics performances of industrial components for preliminary aerodynamic performance evaluation. The developed design tools and methodologies perfectly fit the automotive industry’s needs to accelerate and increase the efficiency of the design workflow from the conceptual idea to the final product.