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Quantum Approaches to Consciousness

It is widely accepted that consciousness or, more generally, mental = activity=20 is in some way correlated to the behavior of the material brain. Since = quantum=20 theory is the most fundamental theory of matter that is currently = available, it=20 is a legitimate question to ask whether quantum theory can help us to = understand=20 consciousness. Several approaches answering this question affirmatively, = proposed in recent decades, will be surveyed. It will be pointed out = that they=20 make different epistemological assumptions, refer to different=20 neurophysiological levels of description, and use quantum theory in = different=20 ways. For each of the approaches discussed, problematic and promising = features=20 will be equally highlighted.

1. Introduction

The problem of how mind and matter are related to each other has many = facets,=20 and it can be approached from many different starting points. Of course, = the=20 historically leading disciplines in this respect are philosophy and = psychology,=20 which were later joined by behavioral science, cognitive science and=20 neuroscience. In addition, the physics of complex systems and quantum = physics=20 have played stimulating roles in the discussion from their = beginnings.

As regards the issue of complexity, this is quite evident: the brain = is one=20 of the most complex systems we know. The study of neural networks, their = relation to the operation of single neurons and other important topics = do and=20 will profit a lot from complex systems approaches. As regards quantum = physics,=20 the situation is different. Although there can be no reasonable doubt = that=20 quantum events occur in the brain as elsewhere in the material world, it = is the=20 subject of controversy whether these events are in any way = efficacious=20 and relevant for those aspects of brain activity that are = correlated=20 with mental activity.

The original motivation in the early 20th century for relating = quantum theory=20 to consciousness was essentially philosophical. It is fairly plausible = that=20 conscious free decisions (=93free will=94) are problematic in a = perfectly=20 deterministic world,^[1] so quantum randomness might indeed open up = novel=20 possibilities for free will. (On the other hand, randomness is = problematic for=20 volition!)

Quantum theory introduced an element of randomness standing out = against the=20 previous deterministic worldview, in which randomness, if it occurred at = all,=20 simply indicated our ignorance of a more detailed description (as in = statistical=20 physics). In sharp contrast to such epistemic randomness, quantum = randomness in=20 processes such as spontaneous emission of light, radioactive decay, or = other=20 examples of state reduction was considered a fundamental feature of = nature,=20 independent of our ignorance or knowledge. To be precise, this feature = refers to=20 individual quantum events, whereas the behavior of = ensembles=20 of such events is statistically determined. The indeterminism = of=20 individual quantum events is constrained by statistical laws.

Other features of quantum theory, which were found attractive in = discussing=20 issues of consciousness, were the concepts of complementarity and = entanglement.=20 Pioneers of quantum physics such as Planck, Bohr, Schr=F6dinger, Pauli = (and=20 others) emphasized the various possible roles of quantum theory in = reconsidering=20 the old conflict between physical determinism and conscious free will. = For=20 informative overviews see e.g., Squires= 1990=20 and Butterf= ield=20 1998.

In this contribution, some popular approaches for applying quantum = theory to=20 consciousness will be surveyed and compared. Section = 2=20 outlines two fundamentally different philosophical options for = conceiving of=20 relations between material and mental states of systems. Section = 3=20 addresses three different neurophysiological levels of description, to = which=20 particular different quantum approaches refer. After some introductory = remarks,=20 Section = 4=20 sketches the individual approaches themselves =97 Section = 4.2:=20 Stapp, Section = 4.3: from Umezawa to Vitiello, Section = 4.4:=20 Beck and Eccles, Section = 4.5:=20 Penrose and Hameroff, and Section = 4.6:=20 =93dual-aspect=94 approaches such as have been tentatively proposed by = Pauli and=20 Jung as well as Bohm and Hiley. Section = 5=20 offers some comparative conclusions.

2. Philosophical Background Assumptions

Variants of the dichotomy between mind and matter range from their=20 fundamental distinction at a primordial level of description to the = emergence of=20 mind (consciousness) from the brain as an extremely sophisticated and = highly=20 developed material system. Informative overviews can be found in Popper = and=20 Eccles (1977), Chalmer= s=20 (1996), and Pauen=20 (2001).

One important aspect of all discussions about the relation between = mind and=20 matter is the distinction between descriptive and = explanatory=20 approaches. For instance, correlation is a descriptive term = with=20 empirical relevance, while causation is an explanatory term = associated=20 with theoretical attempts to understand correlations. Causation implies=20 correlations between cause and effect, but this does not always apply = the other=20 way around: correlations between two systems can result from a common = cause in=20 their history rather than from a direct causal interaction.

In the fundamental sciences, one typically speaks of causal relations = in=20 terms of interactions. In physics, for instance, there are four = fundamental=20 kinds of interactions (electromagnetic, weak, strong, gravitational) = which serve=20 to explain the correlations that are observed in physical systems. As = regards=20 the mind-matter problem, the situation is more difficult. Far from a = theoretical=20 understanding in this field, the existing body of knowledge essentially = consists=20 of empirical correlations between material and mental states. These = correlations=20 are descriptive, not explanatory; they are not causally conditioned. It = is (for=20 some purposes) interesting to know that particular brain areas = are=20 activated during particular mental activities; but this does, of course, = not=20 explain why they are. Thus, it would be premature to talk about = mind-matter interactions in the sense of causal relations. For the sake = of=20 terminological clarity, the neutral notion of relations between mind and = matter=20 will be used in this article.

In most approaches used to discuss relations between material [ma] = brain=20 states and mental [me] states of consciousness, these relations are = conceived in=20 a direct way (A):

[ma] =20 [me]

This provides a minimal framework to study reduction, supervenience, = or=20 emergence relations (Kim, = 1998; Stephan= ,=20 1999) which can yield both monistic and dualistic pictures. For = instance,=20 there is the classical stance of strong reduction, claiming = that all=20 mental states and properties can be reduced to the material domain = (materialism)=20 or even to physics (physicalism).^[2] This point of view claims that it is both = necessary and=20 sufficient to explore and understand the material domain, e.g., the = brain, in=20 order to understand the mental domain, e.g., cognition. More or less, = this leads=20 to a monistic picture, in which any need to discuss mental states is = eliminated=20 right away or at least considered as epiphenomenal. While mind-brain=20 correlations are still legitimate though causally inefficacious from an=20 epiphenomenalist point of view, eliminative materialism renders even=20 correlations irrelevant.

Direct relations between mental and material states can also be = conceived in=20 a less reductionistic fashion. A number of variants of emergence (Stephan= ,=20 1999) are prominent examples. Mental states and/or properties can be = considered as emergent if the material brain is not necessary or not = sufficient=20 to explore and understand them.^[3] This leads to a dualistic picture (less = radical and=20 more plausible than Cartesian dualism) in which residua remain if one = attempts=20 to reduce the mental to the material. Within a dualistic scheme of = thinking, it=20 becomes almost inevitable to discuss the question of causal influence = between=20 mental and material states. In particular, the causal efficacy of mental = states=20 upon material states (=93downward causation=94) has recently attracted = growing=20 interest (Velmans= ,=20 2002).

As an alternative to (A), it is possible to conceive mind-matter = relations=20 indirectly (B), via a third=20 category:

[ma] [me]

= =20

[mame]

This third category, here denoted [mame], is often regarded as being = neutral=20 with respect to the distinction between [ma] and [me], i.e., = psychophysically=20 neutral. In scenario (B), issues of reduction and emergence concern the = relation=20 between the unseparated =93background reality=94 [mame] and the = distinguished=20 aspects [ma] and [me]. This will be discussed in more detail in Section = 4.6.

Such a =93dual aspect=94 option, although not much emphasized in = contemporary=20 mainstream discussions, has a long tradition. Early versions go back as = far as=20 Spinoza and Leibniz. In the early days of psychophysics in the 19th = century, Fechner= =20 (1861) and Wundt = (1911)=20 advocated related views. Whitehead, the modern pioneer of process = philosophy,=20 referred to mental and physical poles of =93actual occasions=94, which = themselves=20 transcend their bipolar appearances (Whitehe= ad=20 1978). Many approaches in the tradition of Feigl = (1967)=20 and Smart=20 (1963), called =93identity theories=94, conceive mental and material = states as=20 essentially identical =93central states=94, yet considered from = different=20 perspectives. Other variants of this idea have been suggested by Jung = and Pauli=20 (1955) [see also Meier = (2001)=20 and Atman= spacher=20 and Primas (1996)], involving Jung's conception of a = psychophysically=20 neutral, archetypal order, or by Bohm and Hiley (Bohm = 1990;=20 Bohm = &=20 Hiley 1993; Hiley = 2001),=20 referring to an implicate order which unfolds into the different = explicate=20 domains of the mental and the material.

From a psychological perspective, Velmans= =20 (2002) has recently presented a similar approach, backed up with = empirical=20 material, and Strawso= n=20 (2003) has proposed a =93real materialism=94 which uses a closely = related=20 scheme. Another proponent of such dual aspect thinking is Chalmer= s=20 (1996), who considers the possibility that the underlying, = psychophysically=20 neutral level of description could be best characterized in terms of=20 information.

Before proceeding further, it should be emphasized that many = present-day=20 approaches prefer to distinguish between first-person and third-person=20 perspectives rather than mental and material states. This terminology = serves to=20 highlight the discrepancy between immediate conscious experiences = (=93qualia=94) and=20 their description, be it behavioral, neural, or biophysical. The notion = of the=20 =93hard problem=94 of consciousness research refers to bridging the gap = between=20 first-person experience and third-person accounts of it. In the present=20 contribution, mental conscious states are implicitly assumed to be = related to=20 first-person experience. This does not mean, however, that the problem = of how to=20 define consciousness precisely is considered as resolved. Ultimately, it = will be=20 (at least) as difficult to define a mental state in rigorous terms as it = is to=20 define a material state.

3. Neurophysiological Levels of Description

3.1 Neuronal Assemblies

A mental system can be in many different conscious, intentional = mental=20 states. In a hypothetical state space, a sequence of such states forms a = trajectory representing what is often called the stream of = consciousness. Since=20 different subsets of the state space are typically associated with = different=20 stability properties, a mental state can be assumed to be more or less = stable,=20 depending on its position in the state space. Stable states are = distinguished by=20 a residence time longer than that of metastable or unstable states. If a = mental=20 state is stable with respect to perturbations, it =93activates=94 a = mental=20 representation encoding a content that is consciously perceived.

Moving from this purely psychological, or cognitive, description to = its=20 neurophysiological counterpart leads us to the question: What is the = neural=20 correlate of a mental representation? According to standard accounts = (cf. No=EB = &=20 Thompson (2004) for recent discussion), mental representations are=20 correlated with the activity of neuronal assemblies, i.e., ensembles of = several=20 thousands of coupled neurons. The neural correlate of a mental = representation=20 can be characterized by the fact that the connectivities, or couplings, = among=20 those neurons form an assembly confined with respect to its environment, = to=20 which connectivities are weaker than within the assembly. The neural = correlate=20 of a mental representation is activated if the neurons forming the = assembly=20 operate more actively, e.g., produce higher firing rates, than in their = default=20 mode.

=20
Figure 1: Balance between inhibitory and excitatory = connections=20 among neurons.

In order to achieve a stable operation of an activated neuronal = assembly,=20 there must be a subtle balance between inhibitory and excitatory = connections=20 among neurons (cf. Figure 1). If the transfer function of individual = neurons is=20 strictly monotonic, i.e., increasing input leads to increasing output,=20 assemblies are difficult to stabilize. For this reason, recent results=20 establishing a non-monotonic transfer function with a maximal output at=20 intermediate input are of high significance for the modeling of neuronal = assemblies (Kuhn = et=20 al. 2004). For instance, network models using lattices of = coupled maps=20 with quadratic maximum (Kaneko = &=20 Tsuda 2000) are paradigmatic examples of such behavior. These and = other=20 familiar models of neuronal assemblies (for an overview see Anderso= n &=20 Rosenfeld 1988) are mostly formulated in a way not invoking = well-defined elements of quantum theory. An explicit exception is the = approach=20 by Umezawa, Vitiello and others (see Section = 4.3).

3.2 Single Neurons and Synapses

The fact that neuronal assemblies are mostly described in terms of = classical=20 behavior does not rule out that classically undescribable quantum = effects may be=20 significant if one focuses on individual constituents of assemblies, = i.e.,=20 single neurons or interfaces between them. These interfaces, through = which the=20 signals between neurons propagate, are called synapses. There are = electrical and=20 chemical synapses, depending on whether they transmit a signal = electrically or=20 chemically.

At electrical synapses, the current generated by the action potential = at the=20 presynaptic neuron flows directly into the postsynaptic cell, which is=20 physically connected to the presynaptic terminal by a so-called gap = junction. At=20 chemical synapses, there is a cleft between pre- and postsynaptic cell. = In order=20 to propagate a signal, a chemical transmitter (glutamate) is released at = the=20 presynaptic terminal. This release process is called exocytosis. The = transmitter=20 diffuses across the synaptic cleft and binds to receptors at the = postsynaptic=20 membrane, thus opening an ion channel (Kandel = et=20 al. 2000, part III; see Fig. 2). Chemical transmission is = slower than=20 electric transmission.

=20
Figure 2: Release of neurotransmitters at the synaptic = cleft=20 (exocytosis).

A model developed by Beck and Eccles applies concrete quantum = mechanical=20 features to describe details of the process of exocytosis. Their model = proposes=20 that quantum processes are relevant for exocytosis and, moreover, are = tightly=20 related to states of consciousness. This will be discussed in more = detail in Section = 4.4.

At this point, another approach developed by Flohr = (2000)=20 should be mentioned, for which chemical synapses with a specific type of = receptors, so-called NMDA receptors,^[4] are of paramount significance. Briefly, Flohr = observes=20 that the specific plasticity of NMDA receptors is a necessary condition = for the=20 formation of extended stable neuronal assemblies correlated to = (higher-order)=20 mental representations which he identifies with conscious states. = Moreover, he=20 indicates a number of mechanisms caused by anaesthetic agents, which = block NMDA=20 receptors and consequently lead to a loss of consciousness. Flohr's = approach is=20 physicalistic and reductionistic, but it is entirely independent of any = specific=20 quantum ideas.

3.3 Microtubuli

The lowest neurophysiological level, at which quantum processes have = been=20 proposed as a correlate to consciousness, is the level at which the = interior of=20 single neurons is considered: their cytoskeleton. It consists of protein = networks essentially made up of two kinds of structures, neurofilaments = and=20 microtubuli (Fig. 3, left), which are essential for various transport = processes=20 within neurons (as well as other cells). Microtubuli are long polymers = usually=20 constructed of 13 longitudinal α and β-tubulin dimers arranged = in a tubular=20 array with an outside diameter of about 25 nm (Fig. 3, right). For more = details=20 see Kandel = et al. (2000), Chap. II.4.

= =20 =

Figure 3: (left) microtubuli and neurofilaments, the = width of=20 the figure corresponds to approximately 700nm; (right) tubulin dimers, = consisting of α- and β-monomers, constituting a=20 microtubule.

The tubulins in microtubuli are the substrate which, in Hameroff's = proposal,=20 is used to embed Penrose's theoretical framework neurophysiologically. = As will=20 be discussed in more detail in Section = 4.5,=20 tubulin states are assumed to depend on quantum events, so that quantum=20 coherence among different tubulins is possible. Further, a crucial = thesis in the=20 scenario of Penrose and Hameroff is that the (gravitation-induced) = collapse of=20 such coherent tubulin states corresponds to elementary acts of=20 consciousness.

4. Selected Examples

4.1 Ways to Use Quantum Theory

In the following, (some of) the better known and partly worked out = approaches=20 that use concepts of quantum theory for inquiries into the nature of=20 consciousness will be presented and discussed. For this purpose, the=20 philosophical distinctions A/B (Section = 2) and=20 the neurophysiological distinctions addressed in Section = 3 will=20 be used as guidelines to classify the respective quantum approaches in a = systematic way. However, some preliminary qualifications concerning = different=20 possible ways to use quantum theory are in order.

There are quite a number of accounts discussing quantum theory in = relation to=20 consciousness that adopt basic ideas of quantum theory in a purely=20 metaphorical manner. Quantum theoretical terms such as = entanglement,=20 superposition, collapse, complementarity, and others are used without = specific=20 reference to how they are defined precisely and how they are applicable = to=20 specific situations. For instance, conscious acts are just = postulated=20 to be interpretable somehow analogously to physical acts of measurement, = or=20 correlations in psychological systems are just postulated to be = interpretable somehow analogously to physical entanglement. Such = accounts may=20 provide fascinating science fiction, and they may even be important to = inspire=20 nuclei of ideas to be worked out in detail. But unless such detailed = work leads=20 beyond vague metaphors and analogies, they do not yet represent = scientific=20 progress. Approaches falling into this category will not be discussed in = this=20 contribution.

A second category includes approaches that use the status = quo of=20 present-day quantum theory to describe neurophysiological and/or=20 neuropsychological processes. Among these approaches, the one with the = longest=20 history was initiated by von Neumann in the 1930s, later taken up by = Wigner, and=20 currently championed by Stapp. It can be roughly characterized as the = proposal=20 to identify intentional conscious acts with physical state = reductions.=20 Another fairly early idea dating back to Ricciardi and Umezawa in the = 1960s is=20 to treat mental states, particularly memory states, in terms of vacuum = states of=20 quantum fields. A prominent proponent of this approach at present is = Vitiello.=20 Finally, there is the idea suggested by Beck and Eccles in the 1990s, = according=20 to which quantum mechanics is relevant for the description of exocytosis = at the=20 synaptic cleft.

The third category refers to further developments or = generalizations=20 of present-day quantum theory. An obvious candidate in this respect is = the=20 proposal by Penrose to relate elementary conscious acts to = gravitation-induced=20 reductions of quantum states. Ultimately, this requires the framework of = a=20 future theory of quantum gravity which is far from having been = developed.=20 Together with Penrose, Hameroff has argued that microtubuli might be the = right=20 place to look for such state reductions. Another set of approaches is = based on=20 generalizations of quantum theory beyond quantum physics = proper. In=20 this way, formally generalized concepts such as complementarity and = entanglement=20 can be applied to phenomena in both mental and material domains. In = particular,=20 relations between the two can be conceived in terms of dual aspects of = one=20 underlying =93reality=94. This conception, drawing on the philosophies = of Spinoza=20 and Leibniz, has been considered attractive by 20th century scientists = such as=20 Bohr, Pauli, Bohm, Primas, d'Espagnat, and others. Some of the proposed=20 scenarios will be sketched.

4.2 Stapp: Quantum State Reductions as Conscious = Acts

The act or process of measurement is a crucial aspect in the = framework of=20 quantum theory, that has been the subject of controversy for more than = seven=20 decades now. In his monograph on the mathematical foundations of quantum = mechanics, von = Neumann=20 (1955, Chap. V.1) introduced, in an ad hoc manner, the = projection=20 postulate as a mathematical tool for describing measurement in terms of = a=20 discontinuous, non-causal, instantaneous and irreversible act given by = (1) the=20 transition of a quantum state to an eigenstate b_j of = the=20 measured observable B (with a certain probability). This = transition is=20 often called the collapse or reduction of the = wavefunction, as=20 opposed to (2) the continuous, unitary (reversible) evolution of a = system=20 according to the Schr=F6dinger equation.

In Chapter VI, von = Neumann=20 (1955) discussed the conceptual distinction between observed and = observing=20 system. In this context, he applied (1) and (2) to the general situation = of a=20 measured object system (I), a measuring instrument (II), and (the brain = of) a=20 human observer (III). His conclusion was that it makes no difference for = the=20 result of measurements on (I) whether the boundary between observed and=20 observing system is posited between I and (II & III) or between (I = & II)=20 and III. As a consequence, it is inessential whether a detector or the = human=20 brain is ultimately referred to as the =93observer=94.^[5]

By contrast to von Neumann's fairly cautious stance, London = and Bauer=20 (1939) went much further and proposed that it is indeed human=20 consciousness which completes quantum measurement (see Jammer = (1974, Sec. 11.3 or Shimony= =20 (1963) for a detailed account). In this way, they attributed a = crucial role=20 to consciousness in understanding quantum measurement =97 a truly = radical=20 position. In the 1960s, Wigner = (1967) followed up on this proposal,^[6] coining his now proverbial example of = =93Wigner's=20 friend=94. In order to describe measurement as a real dynamical process = generating=20 irreversible facts, Wigner called for some nonlinear modification of (2) = to=20 replace von Neumann's projection (1).^[7]

Since the 1980s, Stapp has developed his own point of view on the = background=20 of von Neumann and Wigner. In particular, he tries to understand = specific=20 features of consciousness from the viewpoint of quantum theory. Stapp= =20 (1993) bases his approach to addressing the =93mind-brain = interface=94 on=20 interpretational rather than formal changes of the theory. Inspired by = von=20 Neumann, Stapp uses the freedom to place the interface between observed = and=20 observing system and locates it in the observer's brain. Otherwise, he = does not=20 suggest any specific modifications to present-day quantum theory plus = the=20 projection postulate. Specifically, he argues that quantum uncertainties = at the=20 synaptic level can have effects large enough to generate superpositions = of=20 macroscopic patterns of brain activity at the level of neuronal = assemblies. As=20 the neural correlate of conscious events, he assumes the collapse of = such a=20 superposition into an actualized (activated) neuronal assembly.

In his earlier work, Stapp= =20 (1993) starts with Heisenberg's distinction between the possible and = the=20 actual (Heisenb= erg,=20 1958) to endow the operational Copenhagen interpretation of quantum=20 mechanics with an ontology. Heisenberg's notion of the actual = is=20 related to a measured event in the sense of the Copenhagen = interpretation.=20 However, Heisenberg's notion of the possible, of a = tendency,=20 relates to the situation before measurement, which expresses = the idea=20 of a reality independent of measurement.^[8]

Immediately after its actualization, each actual event holds the = tendency for=20 the impending actualization of another, subsequent actual event. = Therefore,=20 actual events are by definition ambiguous. With respect to their = actualized=20 aspect, Stapp's essential move is to =93attach to each Heisenberg actual = event an=20 experiential aspect. The latter is called the feel of this = event, and=20 it can be considered to be the aspect of the actual event that gives it = its=20 status as an intrinsic actuality=94 (Stapp= ,=20 1993, p. 149). With respect to their tendency aspect, it is tempting = to=20 understand actual events in terms of scheme = (B) of=20 Sec. 2. Stapp himself does not state this explicitly, but some of his=20 formulations suggest a mode of description at which mind and matter are = in fact=20 unseparated. This is expressed, for instance, by his notion of a = =93hybrid=20 ontology=94 with =93both idea-like and matter-like qualities=94 and = =93two complementary=20 modes of evolution=94 (Stapp= ,=20 1999, p. 159).

Another significant aspect of Stapp's approach is the existence not = only of=20 mind-matter correlations but of genuine causal interactions. This = formulation=20 suggests an interpretation in terms of scheme = (A) of=20 Sec. 2. More precisely, he argues that his approach entails the = possibility that=20 =93conscious intentions of a human being can influence the activities of = his=20 brain=94 (p. 153). In detail, Stapp argues that the probabilities for = eigenstates=20 b_j after collapse can be mentally influenced. = Specifically,=20 the frequency of such intentional acts can protract the lifetime of the = state=20 b_j due to quantum Zeno type of effects. Concerning = the=20 neurophysiological implementation of this idea, conscious mental events = are=20 assumed to correspond to quantum collapses of superposition states at = the level=20 of macroscopic brain activity. Additional commentary by Stapp concerning = the=20 causal efficacy of conscious states on brain states in relation to = James' idea=20 of a holistic stream of consciousness (James, = 1950)=20 is given in Stapp= =20 (1999).

A future elaborated version of Stapp's largely informal, = =93pragmatic=94 approach=20 with a satisfactory ontological basis might turn out to be a dual aspect = approach (B) (cf. Section = 4.6)=20 with information rather than matter or mind as the fundamental = ontological=20 feature (Stapp= ,=20 1999, p. 160). At a level at which conscious mental states and = material=20 brain states are distinguished, each conscious experience, according to = Stapp= =20 (1999, p. 153), has as its physical counterpart a quantum state = reduction=20 actualizing =93the pattern of activity that is sometimes called the = =93neural=20 correlate=94 of that conscious experience=94.

For further progress, it will be mandatory to develop a coherent = formal=20 framework for this approach and elaborate on concrete details. For = instance, it=20 is not yet worked out how precisely quantum superpositions and their = collapses=20 are supposed to occur in neural correlates of conscious events. In = addition, it=20 is not sufficient to state that quantum theory in its present = form can=20 be interpreted in such a way that both mental and material systems as = well as=20 causal interactions among them are included.^[9] Although Stapp's conception contains = interesting and=20 inspiring elements, this basic assumption remains to be backed up with = more=20 detail.

Finally, it should be noted that the status of the proposals = discussed above=20 depends on the acceptance of von Neumann's projection postulate (1). = Since this=20 is not always considered as an essential ingredient of quantum theory, = this=20 assumption may be open to question.

4.3 From Umezawa to Vitiello: Quantum Field Theory of=20 Mind/Matter States

In the 1960s, Ricciar= di and=20 Umezawa (1967) suggested to utilize the formalism of quantum field = theory to=20 describe brain states, with particular emphasis on memory. The basic = idea is to=20 conceive of memory states in terms of states of many-particle systems, = as=20 inequivalent representations of vacuum states of quantum fields.^[10] This proposal has gone through several = refinements=20 (e.g., Stuar= t et=20 al., 1978, 1979<= /A>; Jibu = and Yasue,=20 1995). Major recent progress has been achieved by including effects = of=20 dissipation, chaos, and quantum noise (Vitie= llo,=20 1995; Pessa = and=20 Vitiello, 2003). For readable nontechnical accounts of the approach = in its=20 present form see Vitie= llo=20 (2001, 2002)= .

Quantum field theory (see the forthcoming entry on quantum field = theory)=20 yields infinitely many representations of the commutation relations, = which are=20 inequivalent to the Schr=F6dinger representation of standard quantum = mechanics.=20 Such inequivalent representations can be generated by spontaneous = symmetry=20 breaking (see the entry on symmetry = and=20 symmetry breaking), occuring when the ground state (or the vacuum = state) of=20 a system is not invariant under the full group of transformations = providing the=20 conservation laws for the system. If symmetry breaks down, collective = modes are=20 generated (so-called Nambu-Goldstone boson modes), which propagate over = the=20 system and introduce long-range correlations in it. These correlations = are=20 responsible for ordered patterns. Unlike in classical (thermal) systems, = a large=20 number of bosons can be condensed in an ordered quantum state in a = highly stable=20 fashion. Roughly speaking, in the proposal by Umezawa these dynamically = ordered=20 states represent coherent activity in neuronal assemblies.

The activation of a neuronal assembly is necessary to make = the=20 encoded content consciously accessible. This activation is considered to = be=20 initiated by external stimuli. Unless the assembly is activated, its = content=20 remains unconscious, unaccessed memory. According to Umezawa, coherent = neuronal=20 assemblies correlated to such memory states are regarded as vacuum = states; their=20 activation leads to excited states with a finite lifetime and enables a=20 conscious recollection of the content encoded in the vacuum (ground) = state. The=20 stability of such states and the role of external stimuli have been = investigated=20 in detail by Stuar= t et=20 al. (1978, 1979)= .

A decisive further step in developing the approach has been achieved = by=20 taking dissipation into account. Dissipation is possible when = the=20 interaction of a system with its environment is considered. Vitie= llo=20 (1995) describes how the system-environment interaction causes a = doubling of=20 the collective modes of the system in its environment. This yields = infinitely=20 many differently coded vacuum states, offering the possibility of many = memory=20 contents without overprinting. Moreover, dissipation leads to finite = lifetimes=20 of the vacuum states, thus representing temporally limited rather than = unlimited=20 memory (Alfin= ito and=20 Vitiello, 2000; Alfin= ito=20 et al., 2001). Finally, dissipation generates a genuine = arrow of=20 time for the system, and its interaction with the environment induces=20 entanglement. In a recent contribution, Pessa = and=20 Vitiello (2003) have addressed additional effects of chaos and = quantum=20 noise.

It should be noted that most presentations of this approach do = not=20 consistently distinguish between mental states and material states. This = suggests reducibility of mental activity to brain activity, within scenario = (A) of=20 Sec. 2, as an underlying assumption. In this sense, Umezawa's proposal = addresses=20 the brain as a many-particle system as a whole, where the = =93particles=94 are more=20 or less neurons. In the language of Section = 3.1,=20 this refers to the level of neuronal assemblies, which has the benefit = that this=20 is the level which directly correlates with mental activity. = Another=20 merit of the quantum field theory approach is that it avoids the = restrictions of=20 standard quantum mechanics in a formally sound way. In these regards, = the=20 approach appears to be quite convincing.

Conceptually, however, it contains ambiguities demanding = clarification, e.g.,=20 concerning the continuous confusion of mental and material states (and = their=20 properties). If mental states are the primary objects of reference, the = quantum=20 field theoretical treatment shows, in a very subtle and refined manner,=20 metaphorical features. If quantum field theory is supposed to literally = apply to=20 material brain states, it remains largely unclear how this is backed up = by the=20 results of contemporary neurobiology.

A provocative topic introduced by Vitie= llo=20 (2001, Sec. 7.7), is the significance of forward and backward arrows = of time=20 due to the doubling of collective modes. In his final chapters, Vitie= llo=20 (2001) argues that this doubling leads to a =93time-reversed copy=94 = of brain=20 behavior which might be interpreted as its mental counterpart. In his = words,=20 =93consciousness seems thus to emerge as a manifestation of the = dissipative=20 dynamics of the brain=94 (p. 141). Such a scenario ascribes comparable=20 significance to material and mental properties and is evidently=20 non-reductive.

4.4 Beck and Eccles: Quantum Mechanics at the Synaptic = Cleft

Probably the most concrete and detailed suggestion of how quantum = mechanics=20 can play a role in brain processes is due to Beck = and=20 Eccles (1992), later refined by Beck = (2001). It refers to particular mechanisms of information transfer = at the=20 synaptic cleft. However, ways in which these quantum processes might be = relevant=20 for mental activity, and in which their interactions with mental states = are=20 conceived, have hardly been elaborated so far.

As presented in Section = 3.2,=20 the information flow between neurons in chemical synapses is initiated = by the=20 release of transmitters in the presynaptic terminal. This process is = called=20 exocytosis, and it is triggered by an arriving nerve impulse with some = small=20 probability. In order to describe the trigger mechanism in a statistical = way,=20 thermodynamics or quantum mechanics can be invoked. A look at the = corresponding=20 energy regimes shows (Beck = and=20 Eccles, 1992) that quantum processes are distinguishable from = thermal=20 processes for energies higher than 10^-2 eV (at room = temperature).=20 Assuming a typical length scale for biological microsites of the order = of=20 several nanometers, an effective mass below 10 electron masses is = sufficient to=20 ensure that quantum processes prevail over thermal processes.

The upper limit of the time scale of such processes in the quantum = regime is=20 of the order of 10^-12 sec. This is significantly shorter than = the=20 time scale of cellular processes, which is 10^-9 sec and = longer. The=20 sensible difference between the two time scales makes it possible to = treat the=20 corresponding processes as decoupled from one another.

The detailed trigger mechanism proposed by Beck = and=20 Eccles (1992) is based on the quantum concept of quasi-particles, = reflecting=20 the particle aspect of a collective mode. Skipping the details of the = picture,=20 the proposed trigger mechanism refers to tunneling processes of = two-state=20 quasi-particles, resulting in state collapses. It yields a probability = of=20 exocytosis in the range between 0 and 0.7, in agreement with empirical=20 observations. Using a theoretical framework developed earlier (Marcus,= =20 1956; Jortner= ,=20 1976), the quantum trigger can be concretely understood in terms of = electron=20 transfer between biomolecules.

As indicated above, the proposal outlined so far is the most = empirically=20 concrete and theoretically detailed approach to treating brain processes = from a=20 quantum theoretical point of view. However, the question remains how the = quantum=20 trigger for exocytosis may be relevant for conscious mental states. = There are=20 two aspects to this question.

The first one refers to Eccles' intention to utilize quantum = processes in the=20 brain as an entry point for mental causation. The idea, as indicated in = Section = 1, is=20 that the fundamentally indeterministic nature of individual quantum = state=20 collapses offers room for the influence of mental powers on brain = states. In the=20 present picture, this is conceived in such a way that =93mental = intention=20 (volition) becomes neurally effective by momentarily increasing the=20 probability of exocytosis=94 (Beck = and=20 Eccles, 1992, p. 11360). Further justification of this assumption is = not=20 given.

The second aspect refers to the problem that processes at = single=20 synapses cannot be simply correlated to mental activity, whose neural = correlates=20 are coherent assemblies of neurons. Most plausibly, prima facie = uncorrelated random processes at individual synapses would result in a=20 stochastic network of neurons (Hepp, = 1999).=20 Although Beck = (2001) has indicated possibilities (such as quantum stochastic = resonance)=20 for achieving ordered patterns at the level of assemblies from = fundamentally=20 random synaptic processes, this remains an unsolved problem.

With the exception of Eccles' idea of mental causation, the approach = by Beck=20 and Eccles essentially focuses on brain states and brain dynamics. In = his more=20 recent account, Beck = (2001, pp. 109f) states explicitly that =93science cannot, by its = very nature,=20 present any answer to [=85] questions related to the mind=94. In this = sense, a=20 strictly biophysical approach may open the door to controlled = speculation about=20 mind-matter relations, but more cannot be achieved.

4.5 Penrose and Hameroff: Quantum Gravity and=20 Microtubuli

In the scenario developed by Penrose and neurophysiologically = augmented by=20 Hameroff, quantum theory is claimed to be effective for consciousness, = but this=20 happens in an extremely sophisticated way. It is argued that elementary = acts of=20 consciousness are non-algorithmic, i.e., non-computable, and they are=20 neurophysiologically realized as gravitation-induced reductions of = coherent=20 superposition states in microtubuli.

Unlike the approaches discussed so far, which are essentially based = on=20 (different features of) status quo quantum theory, the physical = part of=20 the scenario, proposed by Penrose, refers to future developments of = quantum=20 theory for a proper understanding of the physical process underlying = quantum=20 state reduction. The grander picture is that a full-blown theory of = quantum=20 gravity is required to ultimately understand quantum measurement (see = the=20 forthcoming entry on quantum gravity).

This is a far-reaching assumption, and Penrose does not offer a = concrete=20 solution to this problem. However, he gives a number of plausibility = arguments=20 which clarify his own motivations and have in fact inspired others to = take his=20 ideas seriously. Penrose's rationale for invoking state reduction is not = that=20 the corresponding randomness offers room for mental causation to become=20 efficacious (although this is not excluded). His conceptual starting = point, at=20 length developed in two books (Penros= e,=20 1989, 1994), is=20 that elementary conscious acts must be non-algorithmic. Phrased = differently, the emergence of a conscious act is a process which cannot = be=20 described algorithmically, hence cannot be computed. His background in = this=20 respect has a lot to do with the nature of creativity, mathematical = insight,=20 G=F6del's incompleteness theorem, and the idea of a Platonic reality = beyond mind=20 and matter.

By contrast to the unitary time evolution of quantum processes = =E0 la=20 (2), Penrose suggests that a valid formulation of quantum state = reduction=20 replacing (1) must faithfully describe an objective physical = process=20 that he calls objective reduction. Since present-day quantum = theory=20 does not contain such a picture, he argues that effects not currently = covered by=20 quantum theory should play a role in state reduction. Ideal candidates = for him=20 are gravitational effects since gravitation is the only fundamental = interaction=20 which is not integrated into quantum theory so far. Rather than = modifying=20 elements of the theory of gravitation (i.e., general relativity) to = achieve such=20 an integration, Penrose discusses the reverse: that novel features have = to be=20 incorporated in quantum theory for this purpose. In this way, he arrives = at the=20 proposal of gravitation-induced objective state reduction.

Why is such a version of state reduction non-computable? Initially = one might=20 think of an objective version of state reduction in terms of a = stochastic=20 process, as most current proposals for such mechanisms indeed do (see = the entry=20 on collapse=20 theories). This would certainly be indeterministic, but = probabilistic and=20 stochastic processes can be standardly implemented on a computer, hence = they are=20 definitely computable. Penros= e=20 (1994, Secs 7.8 and 7.10) sketches some ideas concerning genuinely=20 non-computable, not only random, features of quantum gravity. In order = for them=20 to become viable candidates for explaining the non-computability of=20 gravitation-induced state reduction, a long way still has to be = gone.

With respect to the neurophysiological implementation of Penrose's = proposal,=20 his collaboration with Hameroff has been crucial. With his background as = an=20 anaesthesiologist, Hameroff suggested to consider microtubules as an = option for=20 where reductions of quantum states can take place in an effective way, = see e.g.,=20 Hamerof= f and=20 Penrose (1996). The respective quantum states are assumed to be = coherent=20 superpositions of tubulin states, ultimately extending over many = neurons. Their=20 simultaneous gravitation-induced collapse is interpreted as an = individual=20 elementary act of consciousness. The proposed mechanism by which such=20 superpositions are established includes a number of involved details = that remain=20 to be confirmed or disproven.

The idea of focusing on microtubuli is partly motivated by the = argument that=20 special locations are required to ensure that quantum states can live = long=20 enough to become reduced by gravitational influence rather than by = interactions=20 with the warm and wet environment within the brain. Speculative remarks = about=20 how the non-computable aspects of the expected new physics mentioned = above could=20 be significant in this scenario^[11] are given in Penros= e=20 (1994, Sec. 7.7).

Influential criticism of the possibility that quantum states can in = fact=20 survive long enough in the thermal environment of the brain has been = raised by=20 Tegmark= =20 (2000). He estimates the decoherence time of tubulin superpositions = due to=20 interactions in the brain to be less than 10^-12 sec. Compared = to=20 typical time scales of microtubule processes of the order of = milliseconds and=20 more, he concludes that the lifetime of tubulin superpositions is much = too short=20 to be significant for neurophysiological processes in the microtubuli. = In a=20 response to this criticism, Hagan = et=20 al. (2002) have shown that a revised version of Tegmark's model = provides decoherence times up to 10 to 100 μ sec, and it has been = argued that=20 this can be extended up to the neurophysiologically relevant range of 10 = to 100=20 msec under particular assumptions of the scenario by Penrose and = Hameroff.

However, decoherence is just a tiny piece in the debate about the = overall=20 picture proposed by Penrose and Hameroff. From a philosophical = perspective,=20 their proposal has occasionally received outspoken rejection, see e.g., = Grush = and=20 Churchland (1995). Indeed, their approach collects several top level = mysteries, among them the relation between mind and matter itself, the = ultimate=20 unification of all physical interactions, the origin of mathematical = truth, and=20 the understanding of brain dynamics across hierarchical levels. = Combining such=20 deep issues is certainly fascinating, but it is as ambitious as it is=20 provocative.

By and large, the scenario by Penrose and Hameroff represents a = highly=20 speculative approach with conceptual problems and without plausible = concrete=20 ideas for empirical confirmation. On the other hand, it is worthwhile to = remember Bohr's bonmot that the question may not be whether a = theory is=20 too crazy but whether it is crazy enough.

4.6 Mind and Matter as Dual Aspects

Dual-aspect approaches consider mental and material domains of = reality as=20 aspects, or manifestations, of one underlying reality in which mind and = matter=20 are unseparated. In such a framework, the distinction between mind and = matter=20 results from the application of a basic tool for achieving epistemic = access to,=20 i.e., gather knowledge about, both the separated domains and the = underlying=20 reality.^[12] Consequently, the status of the underlying, = psychophysically neutral domain is considered as ontic relative = to the=20 mind-matter distinction.

As mentioned in Section = 2,=20 dual-aspect approaches have a long history. As regards quantum = theoretically=20 inspired variations on this theme, interesting versions have been = proposed by=20 Pauli and Jung (Jung = and Pauli,=20 1955; Meier, = 2001;=20 Atman= spacher=20 and Primas, 1996) and by Bohm and Hiley (Bohm, = 1990;=20 Bohm = and=20 Hiley, 1993; Hiley, = 2001).

In the latter approach, the notions of implicate and explicate order = mirror=20 the distinction between ontic and epistemic domains. At the level of the = implicate order, the term active information expresses that = this level=20 is capable of =93informing=94 the epistemically distinguished, explicate = domains of=20 mind and matter. At this point it should be emphasized that the usual = notion of=20 information is clearly an epistemic term. Nevertheless, there are quite = a number=20 of dual-aspect approaches addressing something like information at the = ontic,=20 psychophysically neutral level.^[13] Using an information-like concept in a = non-epistemic=20 manner is inconsistent if the common (syntactic) significance of = Shannon-type=20 information is intended, which requires distinctions in order to = construct=20 partitions, providing alternatives, in the set of given events. Most=20 information-based dual-aspect approaches do not sufficiently clarify = their=20 notion of information, so that misunderstandings are almost = unavoidable.

While the proposal by Bohm and Hiley essentially sketches a = conceptual=20 framework without further details, particularly concerning the mental = domain,=20 the suggestions by Pauli and Jung offer some more material to discuss. = An=20 intuitively appealing way to represent their approach considers the = distinction=20 between epistemic and ontic domains of material reality due to = quantum=20 theory in parallel with the distinction between epistemic and ontic=20 mental domains.

On the physical side, the epistemic/ontic distinction refers to the=20 distinction between a =93local realism=94 of empirical facts obtained = from classical=20 measuring instruments and a =93holistic realism=94 of entangled systems = (Atm= anspacher=20 and Primas, 2003). Essentially, these domains are connected by the = process=20 of measurement, thus far conceived as independent of conscious = observers. The=20 corresponding picture on the mental side refers to a distinction between = the=20 conscious and the unconscious.^[14] In Jung's depth psychological conceptions, = these two=20 domains are connected by a process of emergence of conscious mental = states from=20 the unconscious, analogous to physical measurement.

In Jung's depth psychology it is crucial that the unconscious has a=20 collective component, unseparated between individuals and = consisting of=20 the so-called archetypes. They are regarded as constituting the = psychophysically neutral level covering both the collective unconscious = and the=20 holistic reality of quantum theory. At the same time they operate as = =93ordering=20 factors=94, being responsible for the arrangement of their psychical and = physical=20 manifestations in the epistemically distinguished domains of mind and = matter.=20 More detailed illustrations of this picture can be found in Jung = and Pauli=20 (1955), Meier=20 (2001), and Atman= spacher=20 and Primas (1996).

This scheme is clearly related to scenario = (B) of=20 (Sec. = 2,=20 combining an epistemically dualistic with an ontically monistic = approach. There=20 is a causal relationship (in the sense of formal rather than efficient=20 causation) between the psychophysically neutral, monistic level and the=20 epistemically distinguished mental and material domains. In Pauli's and = Jung's=20 terms this kind of causation is expressed by the ordering operation of=20 archetypes in the collective unconscious.

A remarkable feature of scenario = (B) is=20 the possibility that the mental and material manifestations may inherit = mutual=20 correlations due to the fact that they are jointly caused by the=20 psychophysically neutral level. One might say that such correlations are = remnants reflecting the lost holism on this level. In this sense, they = are=20 not the result of any direct causal interaction = between mental=20 and material domains. Thus, they are not suitable for an = explanation of=20 direct mental causation in the usual sense. Their existence = would=20 require some unconscious activity entailing correlation effects that = would=20 appear as mental causation. Independently of quantum theory, a related = move was=20 suggested by Velmans= =20 (2002). But even without mental causation, scenario = (B) is=20 relevant to the ubiquitous correlations between conscious mental states = and=20 brain states.

In the proposal by Pauli and Jung, these correlations are called=20 synchronistic (see also Prima= s,=20 1996), and have been applied to psychosomatic relationships as well = (Meier= ,=20 1975). An essential condition required for synchronistic = correlations is=20 that they are meaningful for those who experience them. It is = tempting=20 to interpret the use of meaning as an attempt to introduce semantic = information=20 as an alternative to syntactic information as addressed above. Although = this=20 entails all kinds of problems concerning a clear-cut definition and=20 operationalization, something like meaning, both explicitly and = implicitly,=20 might be a relevant informational currency for mind-matter relations (Atman= spacher,=20 1997).

Very recently, Prima= s=20 (2003) has proposed a dual-aspect approach where the distinction of = mental=20 and material domains originates from the distinction between two = different modes=20 of time: tensed (mental) time, including nowness, on the one hand and = tenseless=20 (physical) time, viewed as an external parameter, on the other (see the = entries=20 on time and on = being and = becoming=20 in modern physics). These two concepts of time emerge due to a = symmetry=20 breaking of a timeless level of reality that is psychophysically=20 neutral.^[15] Nowness and the directedness of time = originate in the=20 mental domain, whose tensed time is quantum-correlated with the = parameter time=20 of physics via time-entanglement. It must be admitted that this is still = a=20 tentative scheme without concrete indications of how to confirm or = reject it=20 empirically. Nevertheless it is highlighted here since, for the first = time, it=20 offers a formally elaborated and conceptually consistent dual-aspect = quantum=20 framework for basic aspects of the mind-matter problem.

As indicated above, the approaches by Stapp (Section = 4.2)=20 and Vitiello (Section = 4.3)=20 contain elements of dual-aspect thinking as well, although these are not = much=20 emphasized by the authors. The dual-aspect quantum approaches discussed = in the=20 present section tend to focus on the issue of entanglement more than on = state=20 reduction. The primary purpose here is to understand correlations = between mental=20 and material domains rather than direct interactions between them. In = this=20 respect, it is worthwhile to refer to an attempt at generalizing the = axiomatic=20 basis of standard quantum theory in such a way that the concept of = entanglement=20 becomes applicable even beyond physical examples (Atman= spacher=20 et al., 2002).

A final critical issue of dual-aspect approaches in general refers to = the=20 problem of panpsychism (see the recent review by Skrbina= ,=20 2003). In the limit of a universal symmetry breaking at the = psychophysically neutral level, every system has both a mental = and a=20 material aspect. In such a situation it is important to understand = =93mentality=94=20 much more generally than =93consciousness=94. Unconscious or = proto-mental acts as=20 opposed to conscious mental acts are notions sometimes used to underline = this=20 difference. The special case of human consciousness within the mental = domain as=20 a whole might be regarded as special as its material correlate, the = brain,=20 within the material domain as a whole.

5. Conclusions

The historical motivation for exploring quantum theory in trying to=20 understand consciousness derived from the realization that collapse-type = quantum=20 events introduce an element of randomness, which is primary (ontic) = rather than=20 merely due to ignorance or missing information (epistemic). Approaches = such as=20 those of Wigner, of Stapp, and of Beck and Eccles emphasize this (in = different=20 ways), insofar as the ontic randomness of quantum events is regarded to = provide=20 room for mental causation, i.e., the possibility that conscious mental = acts can=20 influence brain behavior. The approach by Penrose and Hameroff also = focuses on=20 state collapse, but with a significant move from mental causation to the = non-computability of (particular) conscious acts.

Any discussion of state collapse or state reduction refers, at least=20 implicitly, to entangled states since those are the states that are = reduced. In=20 this sense, entanglement is always co-addressed when state reduction is=20 discussed. By contrast, some of the dual-aspect quantum approaches = utilize the=20 topic of entanglement differently, and independently of state reduction = in the=20 first place. Inspired by the entanglement-induced nonlocal correlations = of=20 quantum physics, mind-matter entanglement is conceived as the = hypothetical=20 origin of mind-matter correlations. This reflects the highly speculative = picture=20 of a fundamentally holistic, psychophysically neutral level of reality = from=20 which correlated mental and material domains emerge.

Each of the examples discussed in this overview has both promising = and=20 problematic aspects. The approach by Beck and Eccles is most detailed = and=20 concrete with respect to the application of standard quantum mechanics = to the=20 process of exocytosis. However, it does not solve the problem of how the = activity of single synapses enters the dynamics of neural assemblies, = and it=20 leaves mental causation of quantum processes as a mere claim. Stapp's = approach=20 suggests a modified interpretation of status-quo quantum theory plus the = projection postulate, comprising brain and mind without extending the = theory=20 formally. Although related to inspiring philosophical and some = psychological=20 background, it is largely hypothetical. The proposal by Penrose and = Hameroff=20 exceeds the domain of present-day quantum theory by far and is the most=20 speculative example among those discussed. It is not easy to see how the = picture=20 as a whole can be formally worked out and put to empirical test.

The approach initiated by Umezawa is embedded in the framework of = quantum=20 field theory, more broadly applicable and formally more sophisticated = than=20 standard quantum mechanics. It refers directly to the activity of = neuronal=20 assemblies as the neural correlates of mental representations. A clear=20 conceptual distinction between brain states and mental states is most = often=20 missing, although the approach is not intended to be reductionistic. = Vitiello's=20 more recent accounts offer some clarifying hints in that direction, = which point=20 to an understanding in terms of a dual-aspect approach. Other such = approaches,=20 like those of Pauli and Jung and of Bohm and Hiley, are conceptually = more=20 transparent in this respect. On the other hand, they are essentially=20 unsatisfactory with regard to a sound formal basis and concrete = empirical=20 scenarios. A novel dual-aspect quantum proposal by Primas, based on the=20 distinction between tensed mental time and tenseless physical time, = marks a=20 significant step forward, particularly as concerns a consistent formal=20 framework.

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Other Internet Resources
[Please contact = author with=20 suggestions]=20
Related Entries
physics: = symmetry=20 and symmetry breaking | quantum = mechanics:=20 collapse theories | quantum theory: quantum field theory | quantum = theory:=20 quantum gravity | space and = time:=20 being and becoming in modern physics | time=20
Acknowledgments

Inspiring discussions on numerous topics treated in this paper with = Guido=20 Bacciagaluppi, Thomas Filk, Hans Flohr, Hans Primas, Stefan Rotter, = Giuseppe=20 Vitiello, and Max Velmans are gratefully acknowledged. Useful comments = by Guido=20 Bacciagaluppi, Friedrich Beck, Thomas Filk, Stuart Hameroff, Hans = Primas, Henry=20 Stapp and an anonymous referee helped to improve an earlier version of = the=20 manuscript.

Copyright =A9=20 2004

Harald Atmanspacher
haa.de

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Stanford Encyclopedia of Philosophy

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