•  90
    Axiomatic foundations of non-relativistic quantum mechanics: A realistic approach
    with S. E. Perez Bergliaffa and H. Vucetich
    International Journal of Theoretical Physics 32 (9): 1507-1522. 1993.
    A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the formal aspect has been improved by the use of certain mathematical theories, such as the theory of equipped spaces, and group theory. The standard formalism is naturally obtained from the latter, starting from a central primitive concept: the Galilei group.
  •  386
    The Collapse of Supertasks
    Foundations of Science 19 (2): 209-216. 2014.
    A supertask consists in the performance of an infinite number of actions in a finite time. I show that any attempt to carry out a supertask will produce a divergence of the curvature of spacetime, resulting in the formation of a black hole. I maintain that supertaks, contrarily to a popular view among philosophers, are physically impossible. Supertasks, literally, collapse under their own weight
  •  424
    Time and irreversibility in an accelerating universe
    with Daniela Pérez
    International Journal of Modern Physics D 20 2831-2838. 2011.
    It is a remarkable fact that all processes occurring in the observable universe are irre- versible, whereas the equations through which the fundamental laws of physics are formu- lated are invariant under time reversal. The emergence of irreversibility from the funda- mental laws has been a topic of consideration by physicists, astronomers and philosophers since Boltzmann's formulation of his famous \H" theorem. In this paper we shall discuss some aspects of this problem and its connection with …Read more
  •  143
    Presentism meets black holes
    with Daniela Pérez
    European Journal for Philosophy of Science 4 (3): 293-308. 2014.
    Presentism is, roughly, the metaphysical doctrine that maintains that whatever exists, exists in the present. The compatibility of presentism with the theories of special and general relativity was much debated in recent years. It has been argued that at least some versions of presentism are consistent with time-orientable models of general relativity. In this paper we confront the thesis of presentism with relativistic physics, in the strong gravitational limit where black holes are formed. We …Read more
  •  504
    Axiomatic foundations of Quantum Mechanics revisited: the case for systems
    with S. E. Perez-Bergliaffa and H. Vucetich
    International Journal of Theoretical Phyisics 35 1805-1819. 1996.
    We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in this framework. It is shown that there is no contradiction between realism and recent experimental results.
  •  799
    The ontology of General Relativity
    In M. Novello & S. E. Perez Bergliaffa (eds.), General Relativity and Gravitation, Cambridge University Press. forthcoming.
    I discuss the ontological assumptions and implications of General Relativity. I maintain that General Relativity is a theory about gravitational fields, not about space-time. The latter is a more basic ontological category, that emerges from physical relations among all existents. I also argue that there are no physical singularities in space-time. Singular space-time models do not belong to the ontology of the world: they are not things but concepts, i.e. defective solutions of Einstein’s field…Read more
  •  91
    Parmenides Reloaded
    Foundations of Science 17 (3): 291-299. 2012.
    I argue for a four dimensional, non-dynamical view of space-time, where becoming is not an intrinsic property of reality. This view has many features in common with the Parmenidean conception of the universe. I discuss some recent objections to this position and I offer a comparison of the Parmenidean space-time with an interpretation of Heraclitus’ thought that presents no major antagonism.
  •  379
    Steps toward an axiomatic pregeometry of spacetime
    with S. E. Perez-Bergliaffa and H. Vucetich
    International Journal of Theoretical Physics 37 2281-2298. 1998.
    We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties. It is objective because it can be formulated without any reference to cognoscent subjects or sensorial fields. Finally, it is relational because it assumes that space-time is not a thing but a complex of relations among things. In this way, the original program of Leibniz is consummated, in the sense that …Read more
  •  336
    Adversus Singularitates: The Ontology of Space–Time Singularities
    Foundations of Science 18 (2): 297-306. 2013.
    I argue that there are no physical singularities in space–time. Singular space–time models do not belong to the ontology of the world, because of a simple reason: they are concepts, defective solutions of Einstein’s field equations. I discuss the actual implication of the so-called singularity theorems. In remarking the confusion and fog that emerge from the reification of singularities I hope to contribute to a better understanding of the possibilities and limits of the theory of general relati…Read more
  •  414
    Present Time
    Foundations of Science 20 (2): 135-145. 2015.
    The idea of a moving present or ‘now’ seems to form part of our most basic beliefs about reality. Such a present, however, is not reflected in any of our theories of the physical world. I show in this article that presentism, the doctrine that only what is present exists, is in conflict with modern relativistic cosmology and recent advances in neurosciences. I argue for a tenseless view of time, where what we call ‘the present’ is just an emergent secondary quality arising from the interaction o…Read more
  •  2002
    I present a discussion of some open issues in the philosophy of space-time theories. Emphasis is put on the ontological nature of space and time, the relation between determinism and predictability, the origin of irreversible processes in an expanding Universe, and the compatibility of relativity and quantum mechanics. In particular, I argue for a Parmenidean view of time and change, I make clear the difference between ontological determinism and predictability, propose that the origin of the as…Read more