Sostanzialismo e relazionalismo dello spaziotempo alla luce della relatività generale

Until recently the debate on the ontology of spacetime had only a philosophical significance, since, from a physical point of view, General Relativity has been made "immune" to the consequences of the "Hole Argument" simply by reducing the subject to the assertion that solutions of Einstein equations which are mathematically different and related by an active diffeomorfism are physically equivalent. From a technical point of view, the natural reading of the consequences of the "Hole Argument” has always been to go further and say that the mathematical representation of spacetime in General Relativity inevitably contains a “superfluous structure” brought to light by the gauge freedom of the theory. This position of apparent split between the philosophical outcome and the physical one has been corrected thanks to a meticulous and complicated formal analysis of the theory in a fundamental and recent (2006) work by Luca Lusanna and Massimo Pauri entitled “Explaining Leibniz equivalence as difference of non-inertial appearances: dis-solution of the Hole Argument and physical individuation of point-events”. The main result of this article is that of having shown how, from a physical point of view, point-events of Einstein empty spacetime, in a particular class of models considered by them, are literally identifiable with the autonomous degrees of freedom of the gravitational field (the Dirac observables, DO). In the light of philosophical considerations based on realism assumptions of the theories and entities, the two authors then conclude by saying that spacetime point-events have a degree of "weak objectivity", since they, depending on a NIF (non-inertial frame), unlike the points of the homogeneous newtonian space, are plunged in a rich and complex non-local holistic structure provided by the “ontic part” of the metric field. Therefore according to the complex structure of spacetime that General Relativity highlights and within the declared limits of a methodology based on a Galilean scientific representation, we can certainly assert that spacetime has got "elements of reality", but the inevitably relational elements that are in the physical detection of point-events in the vacuum of matter (highlighted by the “ontic part” of the metric field, the DO) are closely dependent on the choice of the global spatiotemporal laboratory where the dynamics is expressed (NIF). According to the two authors, a peculiar kind of structuralism takes shape: the point structuralism, with common features both of the absolutist and substantival tradition and of the relationalist one. The intention of this thesis is that of proposing a method of approaching the problem that is, at least at the beginning, independent from the previous ones, that is to propose an approach based on the possibility of describing the gravitational field at three distinct levels. In other words, keeping the results achieved by the work of Lusanna and Pauri in mind and following their underlying philosophical assumptions, we intend to partially converge to their structuralist approach, but starting from what we believe is the "foundational peculiarity" of General Relativity, which is that characteristic inherent in the elements that constitute its formal structure: its essentially geometric nature as a theory considered regardless of the empirical necessity of the measure theory. Observing the theory of General Relativity from this perspective, we can find a "triple modality" for describing the gravitational field that is essentially based on a geometric interpretation of the spacetime structure. The gravitational field is now "visible" no longer in terms of its autonomous degrees of freedom (the DO), which, in fact, do not have a tensorial and, therefore, nor geometric nature, but it is analyzable through three levels: a first one, called the potential level (which the theory identifies with the components of the metric tensor), a second one, known as the connections level (which in the theory determine the forces acting on the mass and, as such, offer a level of description related to the one that the newtonian gravitation provides in terms of components of the gravitational field) and, finally, a third level, that of the Riemann tensor, which is peculiar to General Relativity only. Focusing from the beginning on what is called the "third level" seems to present immediately a first advantage: to lead directly to a description of spacetime properties in terms of gauge-invariant quantites, which allows to "short circuit" the long path that, in the treatises analyzed, leads to identify the "ontic part” of the metric field. It is then shown how to this last level it is possible to establish a “primitive level of objectivity” of spacetime in terms of the effects that matter exercises in extended domains of spacetime geometrical structure; these effects are described by invariants of the Riemann tensor, in particular of its irreducible part: the Weyl tensor. The convergence towards the affirmation by Lusanna and Pauri that the existence of a holistic, non-local and relational structure from which the properties quantitatively identified of point-events depend (in addition to their own intrinsic detection), even if it is obtained from different considerations, is realized, in our opinion, in the assignment of a crucial role to the degree of curvature of spacetime that is defined by the Weyl tensor even in the case of empty spacetimes (as in the analysis conducted by Lusanna and Pauri). In the end, matter, regarded as the physical counterpart of spacetime curvature, whose expression is the Weyl tensor, changes the value of this tensor even in spacetimes without matter. In this way, going back to the approach of Lusanna and Pauri, it affects the DOs evolution and, consequently, the physical identification of point-events (as our authors claim). In conclusion, we think that it is possible to see the holistic, relational, and non-local structure of spacetime also through the "behavior" of the Weyl tensor in terms of the Riemann tensor. This "behavior" that leads to geometrical effects of curvature is characterized from the beginning by the fact that it concerns extensive domains of the manifold (although it should be pointed out that the values of the Weyl tensor change from point to point) by virtue of the fact that the action of matter elsewhere indefinitely acts. Finally, we think that the characteristic relationality of spacetime structure should be identified in this "primitive level of organization" of spacetime.

Max Abraham's and Tullio Levi-Civita's approach to Einstein Theory of Relativity

This work deals with the theory of Relativity and its diffusion in Italy in the first decades of the XX century. Not many scientists belonging to Italian universities were active in understanding Relativity, but two of them, Max Abraham and Tullio Levi-Civita left a deep mark. Max Abraham engaged a substantial debate against Einstein between 1912 and 1914 about electromagnetic and gravitation aspects of the theories. Levi-Civita played a fundamental role in giving Einstein the correct mathematical instruments for the General Relativity formulation since 1915. This work, which doesn't have the aim of a mere historical chronicle of the events, wants to highlight two particular perspectives: on one hand, the importance of Abraham-Einstein debate in order to clarify the basis of Special Relativity, to observe the rigorous logical structure resulting from a fragmentary reasoning sequence and to understand Einstein's thinking; on the other hand, the originality of Levi-Civita's approach, quite different from the Einstein's one, characterized by the introduction of a method typical of General Relativity even to Special Relativity and the attempt to hide the two Einstein Special Relativity postulates.

Fighting corruption with pyramids: A Law and Economics approach to combating corruption in post-socialist countries

Corruption is, in the last two decades, considered as one of the biggest problems within the international community, which harms not only a particular state or society but the whole world. The discussion on corruption in law and economics approach is mainly run under the veil of Public choice theory and principal-agent model. Based on this approach the strong international initiatives taken by the UN, the OECD and the Council of Europe, provided various measures and tools in order to support and guide countries in their combat against corruption. These anti-corruption policies created a repression -prevention-transparency model for corruption combat. Applying this model, countries around the world adopted anti-corruption strategies as part of their legal rules. Nevertheless, the recent researches on the effects of this move show non impressive results. Critics argue that “one size does not fit all” because the institutional setting of countries around the world varies. Among the countries which experience problems of corruption, even though they follow the dominant anti-corruption trends, are transitional, post-socialist countries. To this group belong the countries which are emerging from centrally planned to an open market economy. The socialist past left traces on institutional setting, mentality of the individuals and their interrelation, particularly in the domain of public administration. If the idiosyncrasy of these countries is taken into account the suggestion in this thesis is that in public administration in post-socialist countries, instead of dominant anti-corruption scheme repression-prevention-transparency, corruption combat should be improved through the implementation of a new one, structure-conduct-performance. The implementation of this model is based on three regulatory pyramids: anti-corruption, disciplinary anti-corruption and criminal anti-corruption pyramid. This approach asks public administration itself to engage in corruption combat, leaving criminal justice system as the ultimate weapon, used only for the very harmful misdeeds.

Cosmological perturbations in generalized theories of gravity

The first part of the thesis concerns the study of inflation in the context of a theory of gravity called "Induced Gravity" in which the gravitational coupling varies in time according to the dynamics of the very same scalar field (the "inflaton") driving inflation, while taking on the value measured today since the end of inflation. Through the analytical and numerical analysis of scalar and tensor cosmological perturbations we show that the model leads to consistent predictions for a broad variety of symmetry-breaking inflaton's potentials, once that a dimensionless parameter entering into the action is properly constrained. We also discuss the average expansion of the Universe after inflation (when the inflaton undergoes coherent oscillations about the minimum of its potential) and determine the effective equation of state. Finally, we analyze the resonant and perturbative decay of the inflaton during (p)reheating. The second part is devoted to the study of a proposal for a quantum theory of gravity dubbed "Horava-Lifshitz (HL) Gravity" which relies on power-counting renormalizability while explicitly breaking Lorentz invariance. We test a pair of variants of the theory ("projectable" and "non-projectable") on a cosmological background and with the inclusion of scalar field matter. By inspecting the quadratic action for the linear scalar cosmological perturbations we determine the actual number of propagating degrees of freedom and realize that the theory, being endowed with less symmetries than General Relativity, does admit an extra gravitational degree of freedom which is potentially unstable. More specifically, we conclude that in the case of projectable HL Gravity the extra mode is either a ghost or a tachyon, whereas in the case of non-projectable HL Gravity the extra mode can be made well-behaved for suitable choices of a pair of free dimensionless parameters and, moreover, turns out to decouple from the low-energy Physics.

Farmacocinetica della buprenorfina, e del suo metabolita norbuprenorfina, somministrata come infusione costante nel periodo post-operatorio in cagne sane sottoposte ad ovariectomia

Il dolore non è solo una conseguenza della malattia ma un fattore patogeno che è di per se stesso in grado di perpetuare il danno all’organismo. Il suo trattamento non è quindi solo un atto di umanità ma un contributo ad arrestare la malattia e restituire la salute al paziente. Tra i farmaci più popolari per la terapia del dolore negli animali da affezione si trova la buprenorfina. Questa molecola viene impiegata con successo da anni nel cane e nel gatto per motivi riconducibili, oltre che alla sua efficacia (la sua potenza è diverse volte quella della morfina), alla lunga durata d’azione e alla scarsità degli effetti collaterali. Nonostante l’ampia diffusione e longevità del suo utilizzo, però, sappiamo poco della farmacocinetica di questa molecola negli animali da affezione; i dosaggi clinicamente impiegati sono di fatto estrapolati dagli studi nell’uomo oppure basati su semplici osservazioni degli effetti; i pochi dati farmacocinetici ottenuti nel cane fanno riferimento a singoli boli di dosi che non sempre corrispondono a quelle clinicamente impiegate. Nonostante la buprenorfina trovi il suo principale impiego nelle somministrazioni protratte a lungo (durante il periodo post-operatorio o la degenza ospedaliera) non è mai stato indagato il profilo farmacocinetico della molecola somministrata a boli ripetuti o come infusione continua. Il nostro studio si pone come obiettivo di indagare la farmacocinetica della buprenorfina somministrata come bolo di carico seguito da un’infusione costante a dosaggi considerati clinici in cani sani nel periodo post operatorio. Lo scopo ultimo è quello di sviluppare un protocollo per la somministrazione di questa molecola in modo prolungato in pazienti degenti ed addolorati per poi, in futuro, confrontare la somministrazione come infusione continua con i tradizionali boli ripetuti. Per lo studio sono state utilizzate giovani cagne adulte di taglia media o grande sottoposte ad intervento di ovariectomia.