Abraham Hernandez

This paper deals with an (otherwise classical) two-(non-interacting) particle system immersed in a common stochastic zero-point radiation field. The treatment is an extension of the one-particle case for which it has been shown that the quantum properties of the particle emerge from its interaction with the background field under stationary and ergodic conditions. In the present case we show that non-classical correlations—describable only in terms of entanglement—arise between the (nearby) particles whenever both of them resonate to a common frequency of the field. For identical particles the entanglement becomes maximum and must be described by totally (anti)symmetric states

The present paper reveals (non-relativistic) quantum mechanics as an emergent property of otherwise classical ergodic systems embedded in a stochastic vacuum or zero-point radiation field (zpf). This result provides a theoretical basis for understanding recent numerical experiments in which a statistical analysis of an atomic electron interacting with the zpf furnishes the quantum distribution for the ground state of the H atom. The action of the zpf on matter is essential within the present approach, but it is the ergodic demand what ultimately leads to the matrix formulation of quantum mechanics. The paper thus represents a step forward in the quest for an elucidation of the fundamentals of quantum mechanics

Cardiovascular modelling has been a major research subject for the last decade. Different cardiac models have been developed at a cellular level as well as at the whole organ level. Most of these models are defined by a comprehensive cellular modelling using continuous formalisms or by a tissue-level modelling often based on discrete formalisms. Nevertheless, both views still suffer from difficulties that reduce their clinical applications: the first approach requires heavy computational resources while the second one is not able to reproduce certain pathologies.This paper presents an original methodology trying to gather advantages from both approaches, by means of a hybrid model mixing discrete and continuous formalisms. This method has been applied to define a hybrid model of cardiac action potential propagation on a 2D grid of endocardial cells, combining cellular automata and a set of cells defined by the Beeler-Reuter model. For simulations under physiological and ischemic conditions, results show that the action potential propagation as well as electrogram reconstructions are consistent with clinical diagnosis. Finally, the advantage of the proposed approach is discussed within the frame of cardiac modelling and simulation.

Alexis de Tocqueville (1805–1859) was convinced that without a new possibility for transcendence, democracies would be ill-prepared to allow for actual freedom. In Democracy in America, his study of the United States, he explained that when self-interest was enlightened, individuals would tend to identify their personal benefits with the well-being of the community. By transcending their individualistic tendency to self-enclose, they would contribute to forming and maintaining a real sovereignty of the people. However, unless the “doctrine of self-interest well understood” was aided by a higher ideal, by itself it would eventually fall short, thus paving the way for new forms of despotism. Religion, and more specifically, reformed versions of Christianity, seemed to effectively elevate the outlook of the early Americans. As I will argue, however, Tocqueville ultimately held that those versions lacked the profundity and stability required to resist the strong materialistic and individualistic tendencies of people living in a democracy. Tocqueville’s apparent, if anxious-ridden, preference for Catholicism as the more adequate civil religion resonates with important aspects of Augustine’s theory of the Two Cities, the earthly and the heavenly city. For both Tocqueville and Augustine, the Roman Church’s stable doctrine was what could more successfully teach mankind the truth about their limited condition, hence making them more capable of learning the “art of being free.”