In this article I investigate several possibilities to define the concept of “temporal non-locality” within the standard framework of quantum theory. In particular, I analyze the notions of “temporally non-local states”, “temporally non-local events” and “temporally non-local observables”. The idea of temporally non-local events is already inherent in the standard formalism of quantum mechanics, and Basil Hiley recently defined an operator in order to measure the degree of such a temporal non-locality. The concept of temporally non-local states enters as soon (...) as “clock-representing states” are introduced in the context of special and general relativity. It is discussed in which way temporally non-local measurements may find an interesting application for experiments which test temporal versions of Bell inequalities. (shrink)

This paper explores the similarities between the conceptual structure of quantum theory and relational biology as developed within the Rashevsky-Rosen-Louie school of theoretical biology. With this aim, generalized quantum theory and the abstract formalism of (M,R)-systems are briefly presented. In particular, the notion of organizational invariance and relational identity are formalized mathematically and a particular example is given. Several quantum-like attributes of Rosen’s complex systems such as complementarity and nonseparability are discussed. Taken together, this work emphasizes the possible role of (...) self-referentiality and impredicativity in quantum theory. (shrink)

The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.

A violation of Bell’s inequalities is generally considered to be the Holy Grail of experimental proof that a specific natural phenomenon cannot be explained in a classical framework and is based on a non-boolean structure of predications. Generalized quantum theory allows for such non-boolean predications. We formulate temporal Bell’s inequalities for cognitive two-state systems and indicate how these inequalities can be tested. This will introduce the notion of temporally non-local measurements. The Necker-Zeno model for bistable perception predicts a violation of (...) these temporal Bell’s inequalities. (shrink)

Science is always presupposing some basic concepts that are held to be useful. These absolute presuppositions (Collingwood) are rarely debated and form the framework for what has been termed paradigm by Kuhn. Our currently accepted scientific model is predicated on a set of presuppositions that have difficulty accommodating holistic structures and relationships and are not geared towards incorporating non-local correlations. Since the theoretical models we hold also determine what we perceive and take as scientifically viable, it is important to look (...) for an alternative model that can deal with holistic relationships. One approach is to generalise algebraic quantum theory, which is an inherently holistic framework, into a generic model. Relaxing some restrictions and definitions from quantum theory proper yields an axiomatic framework that can be applied to any type of system. Most importantly, it keeps the core of the quantum theoretical formalism. It is capable of handling complementary observables, i.e. descriptors which are non-commuting, incompatible and yet collectively required to fully describe certain situations. It also predicts a generalised form of non-local correlations that in quantum theory are known as entanglement. This generalised version is not quantum entanglement but an analogue form of holistic, non-local connectedness of elements within systems, predicted to occur whenever elements within systems are described by observables which are complementary to the description of the whole system. While a considerable body of circumstantial evidence supports the plausibility of the model, we are not yet in a position to use it for clear cut predictions that could be experimentally falsified. The series of papers offered in this special issue are the beginning of what we hope will become a rich scientific debate. (shrink)

Scientific facts are constituted as consensus about observable phenomena against the background of an accepted, or at least plausible, theory. Empirical data without a theoretical framework are at best curiosities and anomalies, at worst they are neglected. The problem of parapsychological research since its inception with the foundation of the Society of Psychical Research in 1882 was that no sound theoretical basis existed. On the contrary, the proponents of the SPR often indulged in a theoretical model that ran contrary to (...) the perceived materialism of mainstream science, and many tried to use the data of parapsychological research to bolster the case of “mind over matter,” yet without producing a good model of how such effects could be conceptualized. In general, parapsychological (PSI) research has been rather devoid of theorizing and, if anything, assumed a tacit signal-theoretical, local-causal model of some sort of subtle energy that would be vindicated, once enough empirical data were amassed. History, and data, proved this stance wrong. We will present a theoretical approach that challenges this local-causal, signal-theoretical approach by proposing that parapsychological phenomena are instances of a larger class of phenomena that are examples of nonlocal correlations. These are predicted by Generalized Quantum Theory (GQT) and can be expected to occur, whenever global descriptions of a system are complementary to or incompatible with local descriptions of elements of such a system. We will analyze the standard paradigms of PSI-research along those lines and describe how they can be reconceptualized as instances of such generalized nonlocal correlations. A direct consequence of this conceptual framework is that misrepresentations of these phenomena as local causes, as is done in direct experimentation, is bound to fail long-term. Strategies to escape this problem are discussed. (shrink)