This paper investigates the degree to which information theory, and the derived uses that make it work as a metaphor of our age, can be helpful in thinking about God’s immanence and transcendance. We ask when it is possible to say that a consciousness has to be behind the information we encounter. If God is to be thought about as a communicator of information, we need to ask whether a communication system has to pre-exist to the divine and impose itself (...) to God. If we want God to be Creator, and not someone who would work like a human being, ‘creating’ will mean sustaining in being as much the channel, the material system, as the message. Is information control? It seems that God’s actions are not going to be informational control of everything. To clarify the issue, we attempt to distinguish two kinds of ‘genialities’ in nature, as a way to evaluate the likelihood of God from nature. We investigate concepts and images of God, in terms of the history of ideas but also in terms of philosophical theology, metaphysics, and religious ontology. (shrink)

This paper suggests an epistemic interpretation of Belnap’s branching space-times theory based on Everett’s relative state formulation of the measurement operation in quantum mechanics. The informational branching models of the universe are evolving structures defined from a partial ordering relation on the set of memory states of the impersonal observer. The totally ordered set of their information contents defines a linear “time” scale to which the decoherent alternative histories of the informational universe can be referred—which is quite necessary for assigning (...) them a probability distribution. The “historical” state of a physical system is represented in an appropriate extended Hilbert space and an algebra of multi-branch operators is developed. An age operator computes the informational depth of historical states and its standard deviation can be used to provide a universal information/energy uncertainty relation. An information operator computes the encoding complexity of historical states, the rate of change of its average value accounting for the process of correlation destruction inherent to the branching dynamics. In the informational branching models of the universe, the asymmetry of phenomena in nature appears as a mere consequence of the subject’s activity of measuring, which defines the flow of time-information. (shrink)

Le lien entre physique et information est analysé et les limites conceptuelles et techniques de l’utilisation de la notion statistique d’information (-connaissance) en physique sont mises en évidence. Nous montrons que ces problèmes peuvent être résolus de façon satisfaisante en utilisant une notion d’information structurelle dont la mesure nous est donnée en terme de complexité algorithmique. Ce qui rend alors possible la construction d’une véritable « thermodynamique » de l’information fondée sur le concept d’information structurelle. Abstract: The relationship between physics (...) and information is explored and the conceptual and technical limitations of the use of the notion of statistical information(-knowledge) in physics are emphasised. It is shown that these issues can be satisfactorily resolved by using a notion of structural information, the measure of which is provided in terms of algorithmic complexity. This makes possible the construction of a genuine “thermodynamics”. (shrink)