|
|
Key Articles 4
1.) Beliefs about consciousness and reality - Imants Baruss - Study refuting the prejudice that transcendental ideas are associated with low intelligence
2.) The Structure of Thought - Laura Weed - Criticism of mainstream 20th century philosophy
3.) Brain Coherence and Entanglement in the 21st century - Derived from various refernced sources
Beliefs about consciousness and reality
Imants Baruss
Kings University College London Ontario
Journal of Conscious Studies, 15, No. 10-11, 2008, pp. 277-92
The paper comprises a study
that relates (1.) the degree to which people are rational in their
approach to the world, (2.) the degree to which they are curious, and
(3.) their score on conventional measures of intelligence, to three
main categories of belief system. These are (1.) conventional organised
religions, (2.) materialism and (3) transcendental concepts involving
mystical experience, altered states of consciousness and belief in such
concepts as ESP and reincarnation.
The study suggests that those
with transcendental beliefs are the most rational, most curious and
open to new ideas and also the most intelligent of the three groups.
This, of course, contradicts the normal view of the scientific
community that only the unintelligent and deluded are involved with
such ideas. It is further suggested that many in the scientific
community are closet transcendentalists, who disguise these beliefs,
for fear of damaging their careers. The study suggests that the
followers of conventional religions are the least rational, curious or
intelligent, with the materialists in the middle position.
Examples
of common transcendental experiences or beliefs encountered by Baruss,
included mystical and out-of-body experiences, belief that the physical
was an extension of the mental, and that consciousness was the ultimate
reality, belief in ESP and reincarnation, in understanding superior to
rational thought, and an emphasis on the inner experiental world,
altered states of consciousness and self-transformation. Perhaps not
surprisingly, when the transcendental group were asked about their
religious affiliations, they tend to classify these as 'own beliefs'.
The importance of consciousness increased across the groups from
materialists to transcendentalists. Materialists tended to regard
consciousness as a by-product of brain processes, for religious
believers it is important, and for transcendalists, it may be viewed as
the ultimate reality.
In tests designed to indicate a person's
interest in rationally understanding the world, there was a correlation
between higher scores and transcendental beliefs. The transcenentalists
scored 50% above those with conventional religious beliefs and one
eighth about the materialists. In tests designed to indicate
appreciation of sensory impression and general openness to experience,
the transcendentalists scored about 10% above religious believers and
about 20% above materialists. Other tests suggested that the
transcendental group had a less 'up tight' approach to life being less
worried about social recognition, risk avoidance or being well
organised. Separate studies of IQ suggested a lower IQ amongst
conventional believers, a middling IQ amongst conventional
materialists, and higher IQs amongst the transcendental group. The
authors remark on the cognitive deficits hypothesis, widespread in the
scientific community, that those with transcendental beliefs are
irrational or stupid. This view claims support from a 1983 study
(Tobacyk & Milford), but this seems to refer more to what might be
termed superstition, such as thinking that 13 is unlucky.
Finally, a
survey of participants in the 1996 Tuscon II 'Towards a science of
consciousness' conference showed a high score for transcendental
beliefs. The author remarks on how little this was reflected in the
relevant published literature. He reminds us that it can be difficult
to pursue academic programmes, obtain tenured positions, receive
funding, publish in mainstream journals or supervise graduate students
without subscribing to the materialist agenda. The discrepancy between
the 1996 study and the published literature is taken to suggest that
there are a good number of closet transcendentalists in the scientific
community.
The Strucure of Thought
Laura Weed
The author argues that the underpinnings of much of
20th century philosophy are unsound. This includes philosophers such
as Dennett, whose thinking has been central to modern consciousness studies.
She suggests that Dennett has relied on, and expanded from flawed premises. She
queries the assumption of many modern philosophers that symbolic logic,
computational mathematics and experimental science can explain all that exists.
She argues that this has left science/philosophy with too few tools for
understanding the brain and mind. Her
criticism of strong AI (artificial intelligence) is that its proponents are
only looking at the products or results of thinking. The author, however, wants
to concentrate on what the knower knows. She views this as an interactive
relationship between mind and world. She argues that the process by which one
acquires knowledge of particular objects is different from the process of
acquiring concepts about these objects. In
this book, the acquisition of knowledge is referred to as ‘x’ and the
development of the concept as ‘y’. She refers to ‘x’ as ‘object positing’ and
‘y’ as ‘property attribution’. She thinks that these processes can be analysed
separately, although they often operate in tandem. The ‘x’ object positing
process involves the identification or recognition of particular features. Object
positing usually involves direct perception or direct experience. The ‘y’
property attributing capacity deals with sorting, qualification and quantification.
The two types of mental processes, object positing and property attributing,
together comprise the mental processes, by which we interpret the world.
The
author’s objection to strong AI is that it lacks any object positing, and works
only at the level of property attribution. The ‘x’ process incorporates the
‘passing show’ of the world, and the ‘y’ process comprises the computational
structures that work on the raw data of experience. The ‘y’ process of
computational structuring taken by itself does not work, because it lacks the
raw data on which to work. Similarly the passing show does not mean much
without the structuring work of the ‘y’ processes. The
‘x’ and ‘y’ distinction is not new in philosophy, but it is against the grain
of 20th century philosophy, which has tended to base theories on the
‘y’ process, and to work hard to squeeze out the ‘x’ process of first person
experience. The price of this has been to exclude what actually happens in the
world. The author particularly attacks the work of the behaviourist
philosopher W.V. Quine, who argued that if the reports of different observers
agree, their public report takes priority, and private reports are of no
significance. This is his justification for ignoring the ‘x’ process. Further, Quine,
as a behaviourist, sees the personal experience as inaccessible to
investigation and therefore worthless. Quine thinks that the senses need to
borrow concepts of objects from elsewhere, while the author argues that an
object impinges directly on the senses. It would however seem that the public
report favoured by Quine is in fact comprised of a series of private reports,
without which it would not exist. The author notes that the philosopher, John
Searle, has argued that the fact that there are difficulties with investigating
private experience does not mean that private experience does not exist. Both
the author and Searle take the further view that even if we had the exact
biochemical correlates of experience, the experience itself would remain private.
For instance, even if we had the exact correlates of the radar experience of Thomas
Nagel’s bat, we would have no idea what its radar experience felt like. The
author goes on to discuss her view of causation, which she characterises as
‘kausation’ to distinguish it from other theories of causation. In this, the
observer is in direct contact with the external world, and at the same time is
identifying and naming various aspects of experience. The author makes a
further distinction between ‘x’ as the mind side of the process, and ‘r’ as the
external world or reality side of the relationship. The subject identifies some
external object as the source of their experience. She sees ‘x’ and ‘r’ as
effectively identical, although separable for purposes of discussion. ‘x’ is
the experience of an object. The object has meaning for the experiencer. This
is the intentionality, or the ‘aboutness’, or ‘ofness’ of an experience, and
this is something only possible for an entity with a point of view. In speaking
of something with a point of view, the author presumably refers to conscious
entities. The author goes on to provide a diagram to further clarify her
reasoning. She says that an aspect of reality ‘r’ impinges on a person ‘p’
kausing the experience ‘x’. The person ‘p’ takes the view that their experience
has been ‘kaused’. P recognises ‘x’ as an experience of ‘r’. ‘x’ becomes the
basis for P’s notion of ‘r’. P names ‘r’ as the kause of the experience ‘x’,
and identifies ‘r’ with the notion of the experience ‘x’. The author contrasts
her position with that of Searle. He sees it necessary to introduce agency to
explain perception or experience, while the author sees experience as something
that must be exported to agency.
Some critics consider that a percipient’s brain
requires a concept of a thing before it can perceive it. The author sees the
brain as more active, with perceivers focusing attention and thence creating an
‘x’. Parts of the philosophical tradition have problems with the supposed
concept of action at a distance in the percipient recognising a separate
object, but the author argues that sensory inputs from light and sound are in
principle no different from sensations from within the body. Sensory awareness
should not be seen as less direct than bodily sensation and the idea of an external/internal
split in the processing of sensory inputs is criticised as artificial.
Helen
Keller: The author comments on the famous case of Helen Keller. For her words
were initially just a game, but she suddenly grasped that the ‘x’ experience of
pressing certain symbols was linked to the experience of washing. The author’s
point is that it needs an entity that has experiences, to link one experience
to another. A computer that didn’t have experiences could never link the typing
of particular symbols to the experience, as distinct from the knowledge of the
washing function. This is seen as similar to Searle’s Chinese room where he
maintains that number crunching or symbol processing does not equate to understanding.
20th
century philosophy: Russell and other 20th century philosophers held
that the concept of sense data that were distinct from the actual
sensation of seeing a colour or hearing a sound. In this theory, the
colour itself is a sense datum, not a sensation Thus Russell saw the
territory as being split three ways, between the physical object, the
sense datum and the final sensation. In particular, he thought it
necessary to have a sensation/sense data split, to distinguish between
the act of perception and perception itself. This sense datum turns out
to be a process of logical inference, by which the subject determines
the nature of the object placed at a distance. However, this sense
datum is not required for internal bodily processes. This
approach remained unchallenged during much of the 20th century. The
author highlights three features of the 20th century orthodoxy.
Firstly, there was a strong distinction between the nature of
sensations from the body, perceived as direct sensations, and
sensations from the external world is suggested to require separate
sense data for sensations to be created that are not necessary for the
internal world. Finally, the external sensations are judged to be
objectively real, whereas the internal sensations are viewed as
subjective and not properly real. Hidden
agenda: The author suggests that there are several assumptions
concealed in this orthodox view of perception that she thinks are
false. She sees no reason to beleive that sensing external objects is
more problematic than sensing pains in the body, and therefore she sees
no requirement for a sense datum in the former case. She does not agree
that it is necessary to have a system of logical inferences, in order
to identify an object. The author argues that the psychological
literature suggests that human are just as well equipped to detect
external objects, as they are states in their own bodies. In principle,
she argues that there is no great difference between detecting an
object in your locality, and detecting a blister on your toe. In both
cases, attention diverted elsewhere could lead to a sensation being
missed or misidentified. Psychological
research: The author goes on to examine some recent psychological
research felt to support her arguments. Studies demonstrate that three
operations are performed continuously by both eyes and ears, which are
segregation of objects from their background, determining distance and
determining motion. The figure/background distinction applies if there
are stimuli from more than one region. The figures rather than the
background are the object of interest. Interest is a crucial factor.
The author sees interest in things as a prime distinction between
humans and computers. Computers are much more efficient than humans for
particular tasks, but they are not viewed as being interested in the
task, or having any intentionality (feeling of the task being about
something). Further
to this, some aspects of sensory performance, such as the sensation of
depth are directly linked to the nervous system. Another experiment,
involving young children judging distance, showed that th emajority of
infants could judge that a larger/distant object was larger than a
nearer/smaller box, despite the fact the smaller/nearer box cast a
larger image on the retina. The asuthor argues from these examples that
there is no separate sense data or logical inference machinery involved
in perception. The last experiment demonstrates a hard-wired
perspectival system in the brain. She further points out that some
suggestions for logical inference structures in sensing the world rely
on Euclidean space rather than the perspectival structures now
supported by experiment. The
author goes on to make further a further attack on the notion that
inferential activity is involved in sensing the external world. She
regards the reasoning process involved in inferring something as
distinct from sense expereinces. She takes the example of a belief that
basket ball players are tall, and the knowledge that a particular
individual plays basket ball, to infer that the individual is tall.
However, this is an example of sorting to find a likley category for
the individual concerned, and does not involve any sense experience.
Each logical step independent of sensory experience. Sensory expereince
is something different and does not involve propositions. The
author discusses recent studies of brain deficits in patients, with
respect to the insight it gives for object recognition. In visual
agnosis, patients cannot see an object, but can nevertheless catch it,
if it is thrown. On the other hand, patients with what is known as as
optic ataxics can see an object, but cannot grap it. Researchers,
Milner & Goodale, suggest that this reflects the very different
processing needed for object recognition and visuomotor activity.
Object positing is suggested to be a distinct process from other brain
activity. The
scientific paradigm: The author argues that the scientific world is
based on a 'y' type mechanical point of view, but that by contrast
human thinking is never completely free of intentions and judgements.
In her view, perception is viewed as causal on the world-to-mind side,
and as a semantic identity relationshipon the mind-to-world side.
Kausation is seen as a matter of recognition and understanding, not of
one thing making another happen. Experience gets divided into discrete
and nameable units. The kausal relationship is a denoting and
understanding relationship. An
important segment of 20th century philosophy involved language analysis
thinkers, who held that all philosophical problems were related to
language. Symboloc logic was supposed to give language the same rigour
as mathematics. The author's approach to objects is, however,
incompatible with this approach, because the nature of the actual
expereince is opaque to logical analysis. Moreover, the dependence of
the concept of an object on on experience means that only entities that
have experience can have the concept of an object. This notably
excludes computers. Agency:
The author takes the view that not involving agency at the perception
stage makes it easier to deal with it later on in the process. She
illustrates this idea with a small scene, in which a man asks a female
colleague to a party. The first three steps in a four step process
involve the man remembering that there's going to be a party, realising
that he likes the woman, and subsequently spotting her in the
cafeteria. The point is that these all involve experiences, some of
them in memory, and it is only this that allows the final agency stage
of approaching the woman, in order to invite her to the party. What is
argues to be essential, in order for an agent to act is the tying
together of the experiental material. This can involve ideas about
experiences constituting a preferred future condition, and the agent
then acting to achieve this. Agency could be seen as a sort of
projected understaning, the projection being into future conditions.
Thus the 'x' factor in thought becomes one of the determinants of
future action. The
author regards emotion and cognition as distinct, although they
interact. She uses the example of Downs syndrome, where people can show
warmth socially, but are limited in cognitive capacities, and the
contrasting example of patients with complete emotional dysfunction but
good cognition. This is once again an example of the distinction of the
experienced from the cognitive. Similarly, the author considers there
is direct experiental access to emotions, psychological needs, desires
and anxieties, all rated as 'x' experiences, and that these are a
necessary basis for cognition. The
author argues that the commitement of cognitive science to syntactical
structures, as having a monopoly of mental language needs to be
revised. Reality is found in experience, but then organised and sorted
by syntactically structured thought processes. With subjective
experience as the basic ground, there is a direct contact with reality,
but its ability to understand the experience is limited by existing
knowledge. The 'y' type processes have the ability to generalise and
make inferences, and create possible scenarios. Knowledge involves both
'x' and 'y' processes encoding both experience and syntactical
structures.
3.)
Brain Coherence and Entanglement in the 21st century
Derived
from various sources referenced below
The debate over quantum coherence and
entanglement in the brain and their possible connection to consciousness may
have been moved into a new stage by the discovery that quantum coherence has a
functional role in the transfer of energy within proteins, the basic building
blocks of living cells (1. Engel et al, 2007). Most importantly, it knocks a
hole in the central argument against quantum consciousness, which has been the
claimed impossibility of quantum coherence being sustained for any useful
period in biological matter. At the same time, it moves the discussion of what
sort of coherent features could support consciousness on from a phase of pure
theorising, to a phase in which ideas
can be related to features that have been shown to exist in biological matter.
In the nearly three years since Engel's study was published in Nature, there
has been almost no discussion of the possible significance of this finding in
relation to consciousness. Anyone familiar with mainstream consciousness
studies in the last ten years, where the very mention of quantum consciousness
produces a braying chorus of 'fringe' and 'pseudoscience', will not be
surprised by the absence of constructive comment from that direction. Engel and
other researchers in the field of quantum coherence in protein are not involved
in researching consciousness, and would probably not improve their chances of
funding, if they suggested there was any connection to consciousness. More
disappointing is the relative lack of discussion within the very limited realm
of quantum consciousness studies.
Hameroff has referred to Engel et al as
evidence for quantum coherence in the brain, but does not appear to have
discussed the large difference between the time to collapse in Engel's study
and the much longer time in the Orch OR model. Georgiev (2.) criticises
Hameroff's model for not being synchronised with the 10-15 picosecond (picosecond=10-12
seconds) timescale, which governs much of the activity in protein and enzymes,
but again does not really engage with the Engel study.
I am reluctant to
cross the line from merely commenting on studies, to making more or less
original comments, but confronted with an effective research vacuum, I feel
forced to do this to a limited degree. Hameroff, and Georgiev at least
sometimes, relate to models based on Penrose's idea of objective reduction (OR),
in which the self-collapse of quanta that have not interacted with the
environment gives access to understanding or consciousness as a fundamental
property of spacetime. In this model, the important question is whether this
objective collapse or reduction occurs within a timescale that could be
relevant to neural processing. A single quanta in isolation might not decohere
for millions of years. Some more substantial quantum system is needed to make
this model of quantum consciousness plausible. This is where the possibility of
the entanglement of many quanta, giving a larger, more energetic, quantum
feature, and thus a longer time to reduction that is more in line with neural
processes becomes interesting.
Engel et al studied photosynthesis in green
sulphur bacteria. Unpromising as this may sound, much the same principles apply
across all multicellular living tissues, and this means that the nature of
processing in these complexes could be relevant to what happens in neurons. The
photosynthetic complexes (chromophores) in the bacteria are tuned to capturing
light and transmitting its energy to long-term storage areas. It should be
stressed that in this system, photons (the light quanta) only provide the
initial excitation, and the coherence and entanglement discussed here involves
electrons in the protein.
It is the energy transfer mechanism that is of
interest in this case. Traditionally, this had been analysed in terms of
classical physics. However, the Engel study documented the dependence of the
energy transport on the spatially extended properties of the wave function of
the photosynthetic complexes. In particular, the timescale of the quantum
coherence observed was much longer than would normally be predicted for a protein
environment, with a duration of at least 660 femtoseconds (femtosecond=10-15),
nearly three times as long as the normally predicted times of 250 femtoseconds.
In the latter case, rapid destruction of coherence would prevent it from
influencing the system.
Engel does not offer much discussion of the reason
for this delay in decoherence, but it could be crucial if this process is
related to quantum consciousness. This particular feature should be a wake up
call for students of quantum consciousness, since almost the only rational
debate in this area has centred on whether the time to quantum decoherence in
living matter could be long enough for it to be relevant to neural processes. The
delay from 250 to 660 femtoseconds hints at some kind of protection or
screening of coherence, analogous to the screening argued for by Hameroff.
Engel
further points out that there is a considerable adaptive advantage to using
quantum coherence, in that it allows the photosynthetic complexes to sample a
vast number of different routes, in order to find the most efficient one. Engel
views the system as performing a single quantum computation, sensing many
states simultaneously and selecting the correct answer. This process is
analogous to Grover's algorithm. The involvement of quantum coherence explains
the extreme efficiency of the system. Engel also considers the possibility that
non-local entanglement is involved in the quantum activity within the
chromophores. Some earlier models had recognised coherence between donor and
acceptor electrons, but Engel says that to account for the unexpectedly
long-lived coherence it is necessary to accept that protein has an active role
in the coherence. Towards the end of his paper, Engel stresses that his
findings may have further implications in that protein may itself produce the
structures that in turn give rise to further coherence transfer.
Other
recent studies give support to Engel's work. Collini & Scholes (3. 2009)
view the chromophores as a situation in which protein can protect coherence
from the environment. In a paper by Fleming and co-workers (4. 2007) that
relates to the earlier work by Engel, the authors look at evidence that a
collective long-range electrostatic response of protein to electronic
excitation is responsible for sustained quantum coherence. The protein
environment both protects coherence, and increases the efficiency of energy
transport.
In
a 2009 paper, Sarovar et al (5.) examined the subject of possible quantum entanglement
in the photosynthetic complexes discussed above. Entanglement carries the
possibility of a large number of particles acting as a single quantum feature,
and having a time to objective reduction that could have some bearing on neural
processing. The paper starts from the base of quantum coherence between the
spatially separated chromophore molecules found in these systems. The
entanglement examined is the non-local correlation between the electronic
states of spatially separated chromophores. Coherence is a necessary and
sufficient state for entanglement to exist. The coherence properties of the
photosynthetic complex reflect the interplay of the protein with the
decoherence effects of the environment.
Ishizaki and Fleming (6. 2009)
developed an equation that allows modelling of this system. Where this deals
with the initial sites to be excited by the light energy, the initial
entanglement rapidly decreases to zero, but then increases again after about
600 femtoseconds. This is thought to be a function of the entanglement of the
initial sites being transported and localised at other sites, but remaining
coherent at these other sites, from which further entanglement can subsequently
resurge. Interestingly, the timescale of entanglement between the different
sites in the photosynthetic complex is much longer than for coherence. The coherence
is 660 femtoseconds or greater, while entanglement can last for about 5
picoseconds at the relatively low temperature of 77 Kelvin or 2 picoseconds at
room temperature. The authors regard this as remarkable in the conditions of biological
matter. This study is only the result of modelling, but is considered to be
experimentally verifiable. The few picosecond timescale for entanglement
suggested in Sarovar's paper is any case getting into something like the same
ballpark as the 10-15 picoseconds relevant to much protein and enzyme activity.
Other studies appear to confirm the existence of picosecond timescales for
entanglement in chromophores. It is not clear to the authors that entanglement
is actually functional in chromophores. Coherence appears to be sufficient for
very efficient transport of energy, and entanglement may be only a by-product
of coherence. At the same time, it is speculated that such entanglement might
provide a lead in the development of quantum technologies.
Also in a 2008
paper (7.), Cia et al looked at the possibility of quantum entanglement in the
type of system studied in the Engel paper. Cia takes the view that entanglement
can exist in hot biological environments. The paper draws attention both to a
paper in Nature demonstrating quantum tunnelling by enzymes (8. Ball, 2004),
and to the Engel paper referred to above. Biologists have been generally
sceptical as to the possibility of quantum entanglement in living matter.
However, Cia says that such thinking is based on the assumption of thermal
equilibrium, whereas biological systems are far from thermal equilibrium. Cia
points out the conformation of protein involves interactions at the quantum
level. These are usually treated classically, but Cia wonders whether a proper
understanding of protein dynamics does not require quantum mechanics. It is
said not to be clear, whether or not entanglement is generated during the
motions of protein, but that entanglement might have important implications for
the functioning of protein.
The model studied by the Cia et al paper
suggests that while a noisy environment, such as that found in biological
matter, can destroy entanglement, it can also set up fresh entanglement. It is
argued that entanglement can recur in the case of an oscillating molecule, in a
way that would not be possible in the absence of this oscillation. The molecule
has to oscillate at a certain rate relative to the environment to become
entangled. This allows for entanglement to emerge, but this would normally also
disappear quickly. Something extra is needed for entanglement to recur or
persist. It is suggested that the environment, which is normally viewed as the
source of decoherence, can play a constructive role in resetting entanglement,
when combined with classical molecules. Environmental noise in combination with
molecular motion provides a reset mechanism for entanglement. The suggestion
that entanglement can exist by resetting itself in a noisy environment, and the
further suggestion of possible entanglement in Engel's photosynthetic
structures point to the possibility that relatively large structures are
entangled, with times to objective reduction that could be relevant to neural
activities.
Following the recent papers discussed above, the debate on
quantum coherence in living tissues has moved to a new stage. We now have
definite evidence of functional quantum coherence in living matter, and also modelling
that makes it likely that there is also quantum entanglement in living matter. In
looking for a possible mechanism for quantum consciousness, the principle of Occam's
razor suggests that that we should work with existing evidence, rather than
more speculative possibilities. In the present state of knowledge, the findings
with photosynthetic protein appear to be a more promising basis than either the
very ambitious timescales of the Hameroff model, which put heavy demands on the
possible amount of microtubule screening, or the less ambitious timescales
suggested by Jibu and Yasue for quantum brain dynamics, which, however, relate
to the water dipoles in a way not immediately seen to be relevant to the
actually demonstrated coherence/entanglement in photosynthetic complexes. The
structures described do not immediately provide a linking mechanism to the various
timescales to which theorists have attempted to link coherence or entanglement
in the brain, but it is not possible to match all these features, which have
included Libet's half second, the gamma synchrony and the processing timescales
of proteins and enzymes. The studies discussed above suggest there is an
existing means by which quantum consciousness might be supported in the brain.
It is possible that once established there quantum consciousness can influence
other features such as the gamma synchrony by further intermediate steps. There
appears to be a good argument for concentrating the attention of such study
that is given to quantum consciousness in this area.
References:- 1.)
Engel et al (2007) - Evidence for wavelike energy transfer through
quantum coherence in photosynthetic systems
- Nature, 446, pp. 782-6
doi:10.1038 2.) Georgiev, D. (2004)
- Bose-Einstein condensation of
tunnelling photons in the brain cortex as a mechanism of conscious action 3.)
Collini, Elisabetta & Scholes, G. (2009)
- Coherent intrachain energy in
migration in a conjugated polymer at room temperature -
Science, vol. 323 No. 5912 pp. 369-73, DOI: 10.1126 4.) Lee, H.,
Cheng, Y. & Fleming, G. (2007) - Coherence dynamics in photosynthesis: Protein
protection of excitonic coherence - Science, 316, 1462 5.) Sarovar, M. et
al -
Quantum entanglement in photosynthetic light harvesting complexes 6.)
Ishizaki, A. & Fleming, G. (2009) - On the adequacy of the Redfield equation and
related approaches to the study of quantum dynamics in electronic energy
transfer - Journal of Chemical Physics 7.) Cia, J. et
al, (2009) - Dynamic entanglement in oscillating molecules -
arXiv:0809.4906v1 [quant-ph] 8.) Ball, (2004) - Nature,
431, p. 792
|
|