The concepts of complementarity and entanglement are considered with respect to their significance in and beyond physics. A formally generalized, weak version of quantum theory, more general than ordinary quantum theory of physical systems, is outlined and tentatively applied to two examples.

A fundamental link between system theory and statistical mechanics has been found to be established by the Kolmogorov entropy K. By this quantity the temporal evolution of dynamical systems can be classified into regular, chaotic, and stochastic processes. Since K represents a measure for the internal information creation rate of dynamical systems, it provides an approach to irreversibility. The formal relationship to statistical mechanics is derived by means of an operator formalism originally introduced by Prigogine. For a Liouville operator L (...) and an information operator $\tilde M$ acting on a distribution in phase space, it is shown that i[L, $\tilde M$ ]≡KI (I=identity operator). As a first consequence of this equivalence, a relation is obtained between the chaotic correlation time of a system and Prigogine's concept of a “finite duration of presence.” Finally, the existence of chaos in quantum systems is discussed with respect to the existence of a quantum mechanical time operator. (shrink)

1 – Institute for Frontier Areas of Psychology and Mental Health, Wilhelmstr. 3a, 79098 Freiburg, Germany 2 – Parmenides Center, Via Mellini 26-28, 57031 Capoliveri, Italy 3 – Department of Ophtalmology, University of Freiburg, Killianstr. 5, 79106 Freiburg, Germany 4 – Institute of Physics, University of Freiburg, Hermann- Herder -Str. 3, 79104 Freiburg, GermanyThe “Necker-Zeno model”, a model for bistable perception inspired by the quantum Zeno effect, was previously used to relate three basic time scales of cognitive relevance to one (...) another in a quantitative manner. In this paper, the model predictions are compared with experimental results obtained under discontinuous presentation of an ambiguous stimulus. In addition to earlier results for long inter-stimulus intervals, we show that the reversal dynamics according to the Necker-Zeno model is also in agreement with new results for short inter-stimulus intervals. Moreover, we refine the model in such a way that it accounts for the distribution of “dwell times”. Finally, we indicate applications concerning the modification of cognitive time scales under conditions of psychopathological impairments and meditationinduced modes of awareness. ∗Address correspondence to this author at the Theory Division of the Institute for Frontier Areas of Psychology, Wilhelmstr. 3a, D–79098 Freiburg, Germany; E-mail: [email protected]. (shrink)

Two-dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood. The action of the neighborhood on individual maps can be implemented in terms of ‘‘causal’’ coupling (to spatially distant past states) or ‘‘non-causal’’ coupling (to spatially distant simultaneous states). In this contribution we show that globally stable behavior of coupled map lattices is facilitated by causal coupling, thus indicating a surprising relationship between stability and causality. The influence of causal versus non-causal (...) coupling for synchronous and asynchronous updating as a function of coupling strength and for different neighborhoods is analyzed in detail. r 2004 Elsevier B.V. All rights reserved. (shrink)

Numerical simulations of coupled map lattices (CMLs) and other complex model systems show an enormous phenomenological variety that is difficult to classify and understand. It is therefore desirable to establish analytical tools for exploring fundamental features of CMLs, such as their stability properties. Since CMLs can be considered as graphs, we apply methods of spectral graph theory to analyze their stability at locally unstable fixed points for different updating rules, different coupling scenarios, and different types of neighborhoods. Numerical studies are (...) found to be in excellent agreement with our theoretical results. (shrink)

The present issue of Mind and Matter on the concept of 'pragmatic information' has originated from a frutiful collaboration with Peter beim Graben,whose active involvement as a co-editor was decisive for its pro- duction and is greatly appreciated. The following extended editorial intro- duces the topic within a broader background. In particular,the concept of pragmatic information will be related to the study of complex systems and to concepts of complexity that are not in detail addressed in the in- dividual contributions (...) to the issue.Finally,possible connections to an epistemically understood distinction of mental and material domains of discourse will be indicated. (shrink)

In cognitive neuroscience and in philosophy of mind, causation is a notion that is immensely important but usually not defined precisely enough to afford careful application. A widespread basic flaw is the confusion of causation with correlation. All empirical knowledge in the sciences is based on observing correlations; assigning causal relations to them or interpreting them causally always requires a theoretical background that is implicitly or (better) explicitly stated. This entails that differing theoretical approaches might lead to different interpretations of (...) correlations. In this special volume we attempt to contribute to an improved understanding of causation, in general, and its relationship to consciousness studies, specifically. (shrink)

Summary. It is proposed to translate the mind-matter distinction into terms of mental and physical time. In the spirit of this idea, we hypothesize a relation between the intensity of mental presence and a crucial time scale (some seconds) often referred to as a measure for the duration of nowness. This duration is experimentally accessible and might, thus, offer a suitable way to characterize the intensity of mental presence. Interesting consequences with respect to the idea of a generalized notion of (...) mental presence, with human consciousness as a special case, are outlined. Our approach includes some features consistent with other, related ideas which are indicated. (shrink)

In June 1998 Hans Primas turned 70 y ears old. Although he himself is not fond of jubilees and although he lik es to play the decimal system of numb ers do wn as contingent, this is nev ertheless a suitable o ccasion to re ect on the professional work of one of the rare distinguished contemp orary scientists who attach equal imp ortance to exp erimen tal and theoretical and conceptual lines of researc h. Hans Primas' in terests ha (...) ve covered an enormous range: metho ds and instruments for n uclear magnetic resonance, theoretical c hemistry , C - and W -algebraic formulations of quantum mechanics, the measurement problem and its various implications, holism and realism in quantum theory , theory reduction, the w ork and p ersonality of Wolfgang Pauli, as well as Jungian psychology . In man y of these elds he provided imp ortan t and original fo o d for though t, in some cases going far b eyond the ev eryda y business in the scientic world. As is the case with other scien tists who are conceptually innov ativ e, Hans Primas is read more than he is quoted. His in uence is due to his writings. Even with the current ood of publications, he still p erforms the miracle of ha ving scientists eagerly a waiting his next publication. His external life, by wa y of contrast, is not very sp ectacular. With the exception of a brief p erio d as a guest professor at Washington Univ ersity at St. Louis, he has never b een a wa y from Zuric h for an y length of time. He has nev er b een a warded an y prizes, nev er organized a congress, nev er done any organizational work in a scientic so ciety . He delib erately distanced himself from the hustle and bustle of national and in ternational scien tic business. (shrink)

The behavior of Lyapunov exponents λ and dynamical entropies h, whose positivity characterizes chaotic motion, under Lorentz and Rindler transformations is studied. Under Lorentz transformations, λ and h are changed, but their positivity is preserved..

It is widely accepted that consciousness or, more generally, mental activity is in some way correlated to the behavior of the material brain. Since quantum theory is the most fundamental theory of matter that is currently available, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. Several approaches answering this question affirmatively, proposed in recent decades, will be surveyed. It will be pointed out that they make different epistemological assumptions, refer to different neurophysiological (...) levels of description, and use quantum theory in different ways. For each of the approaches discussed, problematic and promising features will be equally highlighted. (shrink)

In cognitive neuroscience and in philosophy of mind, causation is a notion that is immensely important but usually not defined precisely enough to afford careful application. A widespread basic flaw is the confusion of causation with correlation. All empirical knowledge in the sciences is based on observing correlations; assigning causal relations to them or interpreting them causally always requires a theoretical background that is implicitly or (better) explicitly stated. This entails that differing theoretical approaches might lead to different interpretations of (...) correlations. In this special volume we attempt to contribute to an improved understanding of causation, in general, and its relationship to consciousness studies, specifically. (shrink)

This book investigates the metaphysical position of dual-aspect monism, with particular emphasis on the concept of meaning as a fundamental feature of the fabric of reality.

The role of contingent contexts in formulating relations between properties of systems at different descriptive levels is addressed. Based on the distinction between necessary and sufficient conditions for interlevel relations, a comprehensive classification of such relations is proposed, providing a transparent conceptual framework for discussing particular versions of reduction, emergence, and supervenience. One of these versions, contextual emergence, is demonstrated using two physical examples: molecular structure and chirality, and thermal equilibrium and temperature. The concept of stability is emphasized as a (...) basic guiding principle of contextual property emergence. (shrink)

The dual-aspect monist conjecture launched by Pauli and Jung in the mid-20th century will be couched in somewhat formal terms to characterize it more concisely than by verbal description alone. After some background material situating the Pauli–Jung conjecture among other conceptual approaches to the mind–matter problem, the main body of this paper outlines its general framework of a basic psychophysically neutral reality with its derivative mental and physical aspects and the nature of the correlations that connect these aspects. Some related (...) approaches are discussed to identify key similarities to and deviations from the Pauli–Jung framework that may be useful for cross-fertilization. (shrink)

The concept of complementarity, originally defined for non-commuting observables of quantum systems with states of non-vanishing dispersion, is extended to classical dynamical systems with a partitioned phase space. Interpreting partitions in terms of ensembles of epistemic states (symbols) with corresponding classical observables, it is shown that such observables are complementary to each other with respect to particular partitions unless those partitions are generating. This explains why symbolic descriptions based on an ad hoc partition of an underlying phase space description should (...) generally be expected to be incompatible. Related approaches with different background and different objectives are discussed. (shrink)

A novel conceptual framework for theoretical psychology is presented and illustrated for the example of bistable perception. A basic formal feature of this framework is the non-commutativity of operations acting on mental states. A corresponding model for the bistable perception of ambiguous stimuli, the Necker–Zeno model, is sketched and some empirical evidence for it so far is described. It is discussed how a temporal non-locality of mental states, predicted by the model, can be understood and tested.

When constrained by limited resources, how do we choose axioms of rationality? The target article relies on Bayesian reasoning that encounter serioustractabilityproblems. We propose another axiomatic foundation: quantum probability theory, which provides for less complex and more comprehensive descriptions. More generally, defining rationality in terms of axiomatic systems misses a key issue: rationality must be defined by humans facing vague information.

Within a state-space approach endowed with a generalized potential function, mental states can be systematically characterized by their stability against perturbations. This approach yields three major classes of states: (1) asymptotically stable categorial states, (2) marginally stable non-categorial states and (3) unstable acategorial states. The particularly interesting case of states giving rise to exceptional experiences will be elucidated in detail. Their proper classification will be related to Metzinger’s account of self-model and world-model, and empirical support for this classification will be (...) surveyed. Eventually, it will be outlined how Metzinger’s discussion of intentionality achieves pronounced significance within a dual-aspect framework of thinking. (shrink)

(1997). Cartesian cut, Heisenberg cut, and the concept of complexity. World Futures: Vol. 49, The Quest for a Unified Theory of Information, pp. 333-355.

Mental and neural states are related to one another by vertical interlevel relations and by horizontal intralevel relations. For particular choices of such relations, problems arise if causal efficacy is ascribed to mental states. In a series of influential papers and books, Kim has presented his much discussed “supervenience argument,” which ultimately amounts to the dilemma that mental states either are causally inefficacious or they hold the threat of overdetermining neural states. Forced by this disjunction, Kim votes in favor of (...) overdetermination and, ultimately, reduction. We propose a perspective on mental causation that dissolves the assumption of a tension between horizontal and vertical determination. For mental states to be causally efficacious, they must be dynamically stable. This important requirement can be implemented by combining a key idea of supervenience, multiple realization, with the recently introduced vertical interlevel relation of contextual emergence. Both together deflate Kim's dilemma and reflate the causal efficacy of mental states. 2012 APA, all rights reserved). (shrink)

The physical process of observation is considered from a specific information theoretical viewpoint. Using the modified concept of an information based on infinite alternatives, a formalism is derived describing the elementary transfer of one bit of information. This bit of information is produced on a virtual (nonreal) sub-quantum level of physical description. The interpretation of the formalism yields the following, complementary points: (i) the effect of spatiotemporal delocalization on the sub-quantum level, and (ii) a possible access to the concept of (...) chaos as an intrinsic property of quantum systems. As a brief example, elementary information transfer is illustrated in a cosmological context. Finally, a formal approach to information production on the sub-quantum level is sketched on the basis of complex time. (shrink)

A key ingredient of the metaphysical doctrine of dual-aspect monism is a psychophysically neutral domain, of which mental and physical aspects arise as epistemic descendants that manifest themselves by decomposition. This primer first introduces some elementary notions to define the basic concepts needed to understand the approach, such as those of states, state spaces, observables, partitions and correlations. Using these notions, the concepts of decomposition and manifestation are explained, and a differentiated view of the mereological distinction of wholes and parts (...) is outlined. Next, a number of historical and contemporary accounts of psychophysical neutrality with philosophical (Plato, Spinoza, Schelling, Kant), scientific (Bohm, Pauli, Jung, Connes, Gibson), and artistic (sculpture, music) flavor are given as illustrative examples. Finally, correlations between the psychophysically neutral, the mental, and the physical domain of reality are discussed, in which these correlations are substantiated by meaning. (shrink)

One among many misleading quotations about the alleged mysteries of quantum theory is from Feynman (1965): Today we know that quantum theory describes many aspects of our world in a fully intelligible fashion. Pothos & Busemeyer (P&B) propose ways in which this may include psychology and cognitive science.

The science of physics has been extremely successful over the last four centuries, mainly for one reason: It does everything it can to disregard anything that has to do with non-physical parts of reality. Although the human body is a physical body, large parts of what distinguishes human beings, sometimes briefly called the human condition, does not belong to the physical domain. This implies that physics (and other sciences of the material universe) offers nothing more than self-imposed helplessness when it (...) comes to questions as to what it means to be human. Yet it is possible to scrutinize the way in which physics (and other sciences) is delineated from the rest of reality: to reconsider its boundaries as they were set about four centuries ago. In other words, it is possible to look for features within the physical that are related to something outside the physical which physics itself ignores. The key concept to do so is proposed to be meaning, in its two variants of reference and sense. Meaning provides a viable perspective to illuminate the deep structure of reality as it extends beyond physics and across its boundaries. (shrink)

This chapter analyzes the different ways to describe brain behaviour with the goal to provide a basis for an informed discussion of the nature of decisions and actions that humans perform in their lives. The chapter is organized as follows. Section 2 outlines a number of concepts exhibiting how many subtle details and distinctions lie behind the broad notions of determinacy and stochasticity. These details are necessary for a discussion, in Section 3, of particular aspects relevant for the characterization of (...) brain states and their dynamics. The descriptions of brain behaviour currently provided by neuroscience depend on the level and context of the descriptions. There is no clear-cut evidence for ultimately determinate or ultimately stochastic brain behaviour. As a consequence, there is no solid neurobiological basis to argue either in favour of or against any fundamental determination or openness of human decisions and actions. (shrink)

A well-known difficulty of the interdisciplinary dialogue beyond the limits of particular disciplines is the lack of common ground regarding their metaphysical and methodological assumptions and commitments. This is particularly evident for the precarious relationship between science and religion. In a 2016 conference entitled “The Many Faces of Panentheism” held in Zurich, and now in this introduction as well as this section, we try to counteract this situation by choosing a focus theme located at the interface between nature and the (...) divine. Thus, key perspectives, arguments, and implications of panentheism are introduced not only from one selected point of view but in relation to others. This allows us to explore territory beyond the boundaries of disciplinary backgrounds and to address intellectual and practical consequences for current debates. (shrink)

The concepts of complementarity and entanglement are considered with respect to their significance in and beyond physics. A formally generalized, weak version of quantum theory, more general than ordinary quantum theory of physical systems, is outlined and tentatively applied to two examples.

This article aims to read feminist new materialisms (Barad), together with ‘postulated’ linguistic or cultural primacy of Queer Theory (Butler), to show how both are engaged in similar critical-ethical endeavours. The central argument is that the criticism of Barad and new materialisms misses Butler’s materialistic insights due to a narrow interpretation of Butler's alleged social-constructivist position. There is, therefore, a specific focus on where they both make similar ethical appeals. Moreover, the article relies on Adorno's negative dialectic to highlight an (...) interpretation of Barad and Butler as being part of the same dialectical movement, in which materialism and idealism fluctuate in their mutual criticisms, thus continuing the procession towards 'new knowledge' and emancipation, or freedom, through their motions back and forth. (shrink)

In the mid 20th century, the physicist Wolfgang Pauli and the psychologist Carl Gustav Jung proposed a conceptual framework, not more than speculative at the time, which may help us to clarify psychophysical phenomena beyond what our knowledge about the mental and the physical in separation are capable of achieving. Their conjecture of a Dual-Aspect Monism, with a complementary relationship between mental and material aspects of an underlying, psychophysically neutral reality, is subtler and more sophisticated than many other attempts to (...) discuss the problem of how mind and matter are related to one another. (shrink)

It is widely accepted that consciousness or, more generally, mental activity is correlated to the behavior of the material brain. Since quantum theory is our most fundamental theory of matter, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. There are three basic types of corresponding approaches: (1) consciousness is a manifestation of quantum processes in the brain, (2) quantum concepts are used to understand consciousness without referring to brain activity, and (3) matter (...) and consciousness are regarded as dual aspects of one underlying reality. Major contemporary variants of these quantum inspired approaches will be discussed. (shrink)

More than thirty years ago, Amari and colleagues proposed a statistical framework for identifying structurally stable macrostates of neural networks from observations of their microstates. We compare their stochastic stability criterion with a deterministic stability criterion based on the ergodic theory of dynamical systems, recently proposed for the scheme of contextual emergence and applied to particular inter-level relations in neuroscience. Stochastic and deterministic..

Dual-aspect monism and neutral monism offer interesting alternatives to mainstream positions concerning the mind-matter problem. Both assume a domain underlying the mind-matter distinction, but they also differ in definitive ways. In the twentieth century, variants of both positions have been advanced by a number of protagonists. One of these variants, the dual-aspect monism due toWolfgang Pauli and Carl Gustav Jung, will be described and commented on in detail. As a unique feature in the Pauli-Jung conception, the duality of mental and (...) material aspects is specified in terms of a complementarity. This sounds innocent, but entails a number of peculiarities distinguishing their conjecture from other approaches. (shrink)

The emergence of mental states from neural states by partitioning the neural phase space is analyzed in terms of symbolic dynamics. Well-defined mental states provide contexts inducing a criterion of structural stability for the neurodynamics that can be implemented by particular partitions. This leads to distinguished subshifts of finite type that are either cyclic or irreducible. Cyclic shifts correspond to asymptotically stable fixed points or limit tori whereas irreducible shifts are obtained from generating partitions of mixing hyperbolic systems. These stability (...) criteria are applied to the discussion of neural correlates of consiousness, to the definition of macroscopic neural states, and to aspects of the symbol grounding problem. In particular, it is shown that compatible mental descriptions, topologically equivalent to the neurodynamical description, emerge if the partition of the neural phase space is generating. If this is not the case, mental descriptions are incompatible or complementary. Consequences of this result for an integration or unification of cognitive science or psychology, respectively, will be indicated. (shrink)