•  166
    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.
  •  833
    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
  •  1014
    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