https://popups.uliege.be/3041-539x/index.php?id=1786 Index terms fr 0 https://popups.uliege.be/3041-539x/index.php?id=4609 In this paper, I will argue with Ernst Cassirer that anticipation plays an essential part in the constitution of time, as seen from a transcendental perspective. Time is, as any transcendental concept, regarded as basically relational and subjective and only in a derivative way objective and indifferent to us. This entails that memory is prior to history, and that anticipation is prior to prediction. In this paper, I will give some examples in order to argue for this point. Furthernore, I will also argue, again with Cassirer and contra Henri Bergson, that time should be seen as a functional unity, and not as a collection of three different things-in-themselves (past, present and future). Mon, 14 Oct 2024 15:18:27 +0200 Mon, 14 Oct 2024 15:18:34 +0200 https://popups.uliege.be/3041-539x/index.php?id=4609 https://popups.uliege.be/3041-539x/index.php?id=575 Chaos cannot be understood without constant reference to time. A better understanding of the 3 main abstractions that we use in relation to time (Past, Present and Future) is of basic importance. However chaos is mostly significant for our evaluation of future events: any hope for rigorously deterministic forecasting is not anymore realistic. But in any case, the chaotic crimps into general determinism do not destroy it utterly, because no event totally escapes from the structural and functional coherence of the system in which it occurs. Moreover, in complex systems, hierarchized levels of organization imply a hierarchy of determinisms and the most global ones impose some constraints upon the lesser ones. This leads to adaptability within coherence. An arithmetic model is proposed and some historic and present examples are given. As a final caveat, the uses but also the possible abuses ofthe concep ofchaos are discussed. Fri, 28 Jun 2024 10:03:58 +0200 Mon, 07 Oct 2024 14:46:35 +0200 https://popups.uliege.be/3041-539x/index.php?id=575 https://popups.uliege.be/3041-539x/index.php?id=871 Time is relational to the act of reading a clock in one way or another. Any relative motion can serve as a clock to the third party who reads it. and time is associated with an attribute of the act of the reading. Interacting material bodies can be seen as a set of interacting local clocks, in which the act of reading one clock constantly serves as an impetus for moving others. This observation dispenses with Newtonian absolute time that has no relation to anything external. Materialistic underpinning of the clock-time complex can be attempted within the framework of quantum mechanics, in which a distinction between quantum entanglement and measurement internal to quantum mechanics is noted. Quantum entanglement as a form of phase dynamics is responsible for moving a clock, while internal measurement implemented as amplitude dynamics dealing with exchange of a quantum particle between interacting bodies induces the act of reading the clock. Interacting material bodies constitute a sticky nebula of nested local clocks. If the most encompassing clock is conceivable that can be read by the other outside but does not react upon others, time read out of the clock can be referred to by all of the other nested local clocks as being objective. The feasibility of such an encompassing clock is upon the likelihood of a heat sink conceivable within quantum mechanics cum thermodynamics. Mon, 01 Jul 2024 14:03:55 +0200 Mon, 07 Oct 2024 14:45:19 +0200 https://popups.uliege.be/3041-539x/index.php?id=871 https://popups.uliege.be/3041-539x/index.php?id=761 A special theory of Relativity in the space-like region has been developed by R. Dutheil and A. Rachman (1,2,3,4) with the tensor formalism and using Tachyonic Referential Frames (TR-F). Now two different theories of Relativity built on two different metrics, define two different Lorentz groups which respectively transform two types of referential frames: Ordinary Referential Frames (ORF) for one theory, Tachyonic Referential Frames (TRF) for the other. The both theories of Relativity may describe the same event in the physical space: so they need to be unified. In some previous papers R. Dutheil and G. Nibart have shown that particles having a superluminal velocity, named tachyons [5,6] may exist [7] and do not violate the Causality Principle [8], and according to our reinterpretation principle, the Tachyon Bradyon Identity Principle (TBI Principle) [7] they will always be perceived by any natural observer, using Ordinary Referential Frames (ORF), as being antiparticles having a subluminal velocity. ln the present communication we attempt a unification of the time-like region theory and the space-like region theory into a six-dimensional manifold, where the Lorentz transformations are generalized. Here, the light barrier appears as a mathematical singularity that can be removed by a pure algebraical method which eliminates time coordinates (time and energy) from both four-dimensional theories. ln this new model, time (the function t) is not a coordinate, but it is an "observable" and by definition, it is not reversible. The equation of Klein, Gordon, and Fock can be written in a six dimensional manifold. The Dirac equation can also be written in a six dimensional manifold where it has more conveniently no negative energy solutions. Furthermore, a pair of particles - here a tachyon (i.e. an antiparticle) and a bradyon#can be considered as one unique event in a timeless six-dimensional space. As its wave function may propagate in two different physical ways, we think this new conception of a particle pair will soon break up the E.P.R. paradox. Mon, 01 Jul 2024 11:20:20 +0200 Mon, 07 Oct 2024 14:03:50 +0200 https://popups.uliege.be/3041-539x/index.php?id=761 https://popups.uliege.be/3041-539x/index.php?id=3901 We suggest a new method of quantum causal analysis. The causality is defined without invoking the time relation. It clarifies Cramer principle of weak causality, which admits time reversal in the entangled states and directly leads to the anticipation. The quantitative quantum measure of causality is the pseudoscalar velocity of irreversible information flow called the course of time. The smaller course of time modulus, the stronger causal connection. The causal parameters for the examples of three-qubit entangled states have been computed. The results have been compared with the degrees of mixedness and entanglement of the states. In the simplest cases the formal measure of quantum causality does not contradict its intuitive understanding. But even in slightly more complicated situations intuition may be a failure. Tue, 01 Oct 2024 11:52:46 +0200 Tue, 01 Oct 2024 11:52:54 +0200 https://popups.uliege.be/3041-539x/index.php?id=3901 https://popups.uliege.be/3041-539x/index.php?id=3336 The aim of the present paper is to expose in its fundamental moments Fichte's deduction of time and space as pure forms of the intuition and, therefore, as condition of possibility of a theory of anticipationso f perception. I will focus on one of the different versions of this deduction we can find in the work of this German philosopher between 1795 and 1814, namely, the time and space deduction presented in Fichte's Outline of the Distinctive Character of the Doctrine of Knowledge with Respect to the Theoretical Faculty, a substantial supplement to the Foundation of the entire Science of Knowledge published in 1795 and also originally planed only for his students. Fri, 13 Sep 2024 16:15:39 +0200 Fri, 13 Sep 2024 16:15:47 +0200 https://popups.uliege.be/3041-539x/index.php?id=3336 https://popups.uliege.be/3041-539x/index.php?id=2944 Every object in existence has its type. Every subject in language has its predicate. Every intention in logic has its extension. Each therefore has two levels but with the fundamental problem of the relationship between the two. The formalism of set theory cannot guarantee the two are co-extensive. That has to be imposed by the axiom of extensibility, which is inadequate for types as shown by Bertrand Russell's ramified type theory, for language as by Henri Poincare's impredication and for intention unless satisfying Port Royal's definitive concept. An anticipatory system is usually defined to contain its own future state. What is its type? What is its predicate? What is its extension? Set theory can well represent formally the weak anticipatory system, that is in a model of itself. However we have previously shown that the metaphysics of process category theory is needed to represent strong anticipation. Time belongs to extension not intention. The apparent prediction of strong anticipation is really in the structure of its predication. The typing of anticipation arises from a combination of c5 and μ - respectively (co) multiplication of the ( co )monad induced by adjointness of the system's own process. As a property of Cartesian closed categories this predication has significance for all typing in general systems theory including even in the definition of time itself. Tue, 03 Sep 2024 15:57:17 +0200 Tue, 03 Sep 2024 15:57:28 +0200 https://popups.uliege.be/3041-539x/index.php?id=2944 https://popups.uliege.be/3041-539x/index.php?id=2074 Transitions have been studied in physics, mathematical system theory, automata theory, Petri nets, and many other theories - and they are always introduced with reference to the states of a given system. But usually the notion of 'state' is defined in an abstract way which is not related to a general formal notion of 'time' in the actual system description. That causes many problems in applications. By contrast, in this paper the author introduces transitions in conceptual time systems mainly as pairs of time objects. Then transitions between situations, states, time states, and phases can be induced easily. That leads to very effective temporal representations of processes, as demonstrated by, for example, applications in an air-conditioning plant. Mon, 29 Jul 2024 11:17:06 +0200 Mon, 29 Jul 2024 11:17:18 +0200 https://popups.uliege.be/3041-539x/index.php?id=2074 https://popups.uliege.be/3041-539x/index.php?id=1857 The paper considers some analogies between Aristotelian concepts and their images at the computer programming, applicable for computer modeling of anticipatory systems. The concepts are namely matter/form and their influence to the law of extensionality, general/individual and time/eternity. Wed, 17 Jul 2024 11:34:30 +0200 Wed, 17 Jul 2024 11:34:37 +0200 https://popups.uliege.be/3041-539x/index.php?id=1857 https://popups.uliege.be/3041-539x/index.php?id=1784 According to the standard interpretation of the special theory of relativity, space and time form a unity, which is described by the so-called Minkowski geometry. Using a distinction between inside and outside views, an alternative interpretation of special relativity can be formulated. This interpretation is connected to the construction of an outside view of space-time, which is described by a 4-dimensional and fully Euclidean geometry. The construction of an outside view also for general relativity is attempted, the basis for which lies in the assumption that the speed of light in a gravitational field - as seen from the outside - depends on gravitational potential and on direction. Finally, it is argued that the suggested outside view might serve as a basis for new approaches in the philosophy of space and time. Tue, 16 Jul 2024 15:41:55 +0200 Tue, 16 Jul 2024 15:42:07 +0200 https://popups.uliege.be/3041-539x/index.php?id=1784