This paper points out that photosynthetic complexes are adapted to capture light, and put its energy into long-term storage. This process has normally been described in classical terms, and quantum coherence has been to a good extent ignored in the traditional analysis. However, the possibility of quantum coherence has been predicted, and in this paper the authors describe evidence for long-lived quantum coherence being involved in energy transfer within photosynthetic systems. The wavelike process is thought to account for the efficiency of the sytem, because it allows the sampling of large areas of phase space, in order to find the most efficient path, or to transfering energy to the area in the lowest energy state.
The Engel et al experiment involved electronic spectroscopy to observe the evolution of electronic coherence. Quantum beating was found to last for 660 fs, which was much more than the 250 fs estimated for conventional models. Conventional models had assumed that quantum coherence would be rapidly destroyed, and had therfore not factored it into their models of photosynthetic systems.
By contrast, the authors conclude that long-lived quantum coherence must play an active role in photosynthetic systems. A quantum coherent system allows sampling in order to direct energy to the lowest energy state. The system is viewed as performing a quantum computation, in which it senses many states simultaneously and from these selects the correct answer. This is seen as analogous to Grover's algorithm, allowing both the discovery of the lowest energy state and the transfer of coherence. This is more efficent than any classical
search engine. Protein is seen as providing the structure in which coherence can be preserved and at the same time modulating the coherence as a result of the local dielectric environment.
Towards experimental tests of quantum effects in cytoskeletal proteins
A. Mershin et al
Centre for biomedical engineering, MIT
In: Tuszynski, J. Ed. The Emerging Physics of Consciousness Springer
ISBN-13 978-3-540-23890-4
The paper starts by emphasising the need for more experimental work on biological tissue. The author mentions experiments by Nancy Woolf on the dendritic expression of MAP2 (1. Woolf) and on learning and memory in fruit flies by Mershin's own group. Mershin is mainly interested in experimentation at the protein-to-atom scale. He claims that it is slowly being recognised that quantum mechanics (QM) has a role to play in protein functions such as enzyme actions (2. Ball & Ritz). The paper looks in particular at information based processing in protein, with an emphasis on cytoskeletal proteins and especially the tubulin building blocks of the microtubules. Protein is the work horse of all life forms, with its activity ranging over signaling, energy transduction, movements and catalysis of reactions.
Mershin has worked on testing the suggestion that microtubules are not just structural, but are also involved in neural processing. His first test was the effedct on memory of a minimal disruption of the microtubule network. It was shown that olfactory memory in fruit flies suffered when microtubules (MTs) and microtubule associated proteins (MAPs) were disturbed. This was taken to suggest a role in memory and probably also in information processing (3.Mershin).
The next step was to test whether microtubule proteins were processing 'bits' either at the classical or quantum level. The tests showed a high dipole moment in the tubulins that make up the MTs, which was relevant because MT processing theories often involve dipoles. The geometry of the microtubule, with a 13 protofilament assymetrical lattice has been suggested as a possible basis for quantum error correction (4. Koruga). These experiments are said to have opened up further experimental possibilities, including a test for quantum coherence and entanglement in biological tissue.
Tubulin is a common protein in all eukaryotic cells, mainly concentrated in the cytoskeleton and especially common in the brain. MTs constitute a major part of the cytoskeleton, and are comprised of tubulin dimers. The structure of MTs has been extensively studied. The amount of energy needed for a change in the conformation of tubulin protein is 200x greater than that needed for a silicon switch in a computer and 30x greater than thermal noise at room temperature. This would allow the tubulins to act as information processors. Preliminary experiments to measure the electric field round MTs suggests that they could be ferroelectric, thus allowing abrupt orientations of the dipoles (5. Jelinek). The possibility of energy-loss free transport along microtubules has been theoretically demonstrated (6. Mavramotos).
Models for excitation in MTs all depend on the dipole moment of tubulin, and its ability to flip while in the polymerised state. Such flips are the basis of predictions of quantum superposition and entanglement in MTs. The interaction between tubulin dipoles and water molecule dipoles is basic to ideas of ferroelectricity along MTs and possible emission of coherent photons.
It is suggested that Mershin's group could be close to doing an experiment to test for quantum coherence and entanglement involving biomolecules.
Mershin discusses the question of quantum decoherence at brain temperatures. He mentions that instances of quantum coherence at room temperature have been demonstrated. In a recent experiment, a macroscopic quantity of cesium gas remained entangled for 0.5ms despite contact between the gas and the environment. The reason for the relatively long decoherence period was the large amount of spins (7. Julsgard).
Ferroelectricity is basic to the QM activity proposed by this model. The ordering of the tubulin dimers' electrical dipoles will be due to interaction with the dipoles of water molecules in the hollow core of the microtubules. It is argued that this interaction is substantially protected from the environment. If there is isolation, the region of the MT between the inner wall of the dimer and the water at the centre of the hollow core of the MT can be treated as a site for the electromagnetic or QED cavities. These isolated regions inside the microtubule form the basis for quantum coherence in this model. QED cavities are well known for being able to sustain coherent electromagnetic radiation in their interior. The interaction of the cavities with the inner dimer walls leads to the development of coherent dimer states along the MTs.
The interior of the microtubule seems to contain ordered water, which makes the existence of the electric dipole moment likely. It has been suggested that each of the protein dimers has a hysrophobic pocket. The electrons in these pockets are suggested to have two possible conformations. The electric dipole moment for the tubulin molecule has been determined, and this is now seen as an important area for study. Mershin's calculations suggest that quantum mechanical events may be responsible for superefficient energy and signal transfer. It is suggested that the interaction between water dipoles and quantised radiation plays the role of cavity modes that produce quantum coherent solitons across the MT network. The calculated decoherence time for this system is greater than the time required for energy transport across the system.
Mershin is highly critical of Tegmark's often quoted attack on quantum consciousness. Mershin's own point against Tegmark is that he does not allow for possible isolation from the environment within the MTs.
This paper also discusses the function of ordered water in biological systems. Recent studies indicate that the transfer of energy in liquid water is quicker than expected (8. Woutensen). This might be due the presence of kink solitons. In biological tissue, this might be suited to loss-free energy transfer between biomolecules or along biological structures, such as MTs that are covered with water both inside and in the central cavity. It is predicted that hydrophobic areas would retain excited states longer than the hydrophilic areas, and that this would help to isolate electrons within the hydrophobic pockets.
Given the appropriate environmental isolation in parts of the system, it is seen as theoretically possible for there to be quantum coherence of tubulin dimers on MTs on a macroscopic scale, and over a sufficiently long timescale for dissipationless energy and signal transfer to occur. The paper discusses recent experiments involving quantum entanglement at room temperatures. Error correction and allowance for redundancy, because each qbit corresponds to a large number of particles, allows quantum coherence to continue despite contact with the environment. It is thought not impossible that similar circumstances could arise in biological systems.
Mershin moves on to discuss what are the implications if coherence and entanglement exist in biological systems. It is pointed out that such systems might be adaptive for organisms. Quantum coherence could facilitate rapid choice amongst a number of similar states.
Mershin discusses the possibility of quantum teleportation in biological tissue. Quantum teleportation is a non-local correlation that occurs without any transfer of mass or energy. Possible teleportation is suggested to involve three microtubules. Microtubule A could send its state to microtubule C if they were both entangled with microtubule B. Microtubule A, described as the sender molecule, makes a measurement, which in real life might involve binding with a MAP. Then the state of microtubule A is teleported to microtubule C, which is described as the receiver microtubule. No energy, mass or information has been transferred, but the quantum states of one microtubule have been transferred to the other.
From here, Mershin goes back to discussing less exotic possibilities. It is claimed that the existence of quantum coherent states along the microtubules suggest the possibility that the MTs can act as logic gates. This could arise at a type of node of three MTs connected by MAPs. The quantum states make the interaction probabalistic. The outcome is influenced by the geometry of the MTs. Alteration of the lengths of the MTs and the binding sites of the MAPs can alter the probabilities of the outcome. In this model, called the 'guitar string' model, it is suggested that four MAPs could 'clamp' six MTs at different nodes. A small set of MTs with a small number of binding sites could produce a large web of processing.
Objections to the possibility of quantum coherence, are claimed by the authors, to be most often based on the assumption of equilibrium in biological systems. But tubulin, for instance, is not an equilibrium system but a dissipative system, where energy is constantly being pumped in and out. Mershin's group's own calculations suggests that tubulin could sustain quantum coherence for timespans in the order of microseconds. In addition, in a tubulin molecule with 17,000 atoms, the electric dipole moment state may depend on only a handful of electrons. Unpaired electrons in the dimers could couple to water molecule dipoles in the interior of the microtubule. The article proposes equipment and experiments that could test for quantum properties in biological tissue.
References:-
1) Woolf, Nancy et al (1994) Neuroreport, 5, pp. 1045-48 + Woolf, Nancy et al (1999) Brain Research, 821 (1) pp. 241-9
2) Ball, P. (2004) Nature, 431 + Ritz, T. et al (2002) Chem. Phys. Chem., 3 pp. 243-248
3) Mershin, A. et al (2004) Learning and Memory, 11 (2) pp. 277-287 + Mershin, A. et al (2004) Biosystems, 77, pp. 73-85 + Mershin, A.et al (1999) Proceedings of the Academy of Athens, 74, pp. 123-173
4) Koruga, D. (1985) Ann. New York Academy of Science, 466, pp. 953-957
5) Jelinek, F. et al (1999) Bioelectrochemistry and Bioenergetics, 48, pp. 261-266
7) Julsgaard et al (2001) Nature, 413, pp. 400-212
6) Mavratmos, N., Mershin, A. & Nanopoulos, D. (2002) International Journal of Modern Physics B, 16 (24) pp. 3623-3642 + Mavratmos, N. & Nanopoulos, D. (1998) International Journal of Modern Physics B, B12, pp. 517-527 + Mavratmos, N. (1999) Bioelectrochemistry and Bioenergetics, 48, pp. 120-128
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Quantum & classical modes of information processing in microtubules
Stuart Hameroff & Jack Tuszzynski
Biochemical energy is provided to microtubules in several ways, including from tubulin bound GTP that is hydrolysed to GDP. Van der Waals forces operate between the amino-acid side groups . Hameroff suggests that the tubulins could be the computing bits of a calculating system. Hameroff and Tuszynski say that by using the Protein Data Bank and the Tinker molecular dynamic package, they have demonstrated quite a high negative charge on tubulin at normal pH, with 40% of this concentrated in the tail-like ‘C’ terminal of the monomer.
It is also indicated that mapping of electrostatic charges in the tubulin shows two wells of positive charge near the junction between the alpha and the beta monomers, which mapping work suggests would result in quantum tunnelling. W. Bras (1) has demonstrated microtubules align parallel to magnetic fields, and this is also considered as likely to allow electron tunnelling. Work by Binhi et al (2) indicates the existence of unpaired electron spins for networks in protein interiors, which are shielded from the environment and lead to functional quantum interaction at physiological temperatures. The conclusion of the paper is that work on microtubules and the component tubulins suggests several mechanisms for quantum information processing.
References:-
(1) W. Bras, Magnetically aligned microtubules: PHD thesis, John Moore University
(2) V.N. Binhi & A. V. Savin, Molecular gyroscopes and biological effects of weak extremely low frequency magnetic fields: Physical Review E 65: 051912 1&8211: 0519
R.R. Rizi et al, Intermolecular zero quantum coherence in the human brain: Magnetic resonance medecine: 43 627-32 (2000)
W. Richter et al: Functional magnetic resonance imaging with intermolecular multiple quantum coherence: Magnetic resonance imaging 8, 489-494 (2000)
Photon echo experiments at Starlab
Pierre St. Hilaire, Dick Biermann & Stuart Hameroff
www.starlab.org
The authors claim that quantum consciousness models are testable, which is the acid test of a scientific theory as opposed to conventional or classical theories, which are claimed not to be testable.
Physicists, Pierre St.Hilaire and Dick Bierman devised a test for evidence of quantum coherence in the retina, the most conveniently accessible part of the brain. Their scheme was to send two separate laser pulses to the part of the retina being studied. This is expected to cause rhodopsin molecules in the rod and cone cells to become quantum coherent. If the coherent state persists for longer than the time between the two laser pulses, then some atoms in the system precess back towards their original state, and they emit a photon in the process of doing this. This is known as a ‘photon echo’. This could be detected, and if detected it would be indicative of quantum coherence in the retina. Structures in the retina such as rhodopsin could in principle be shown to sustain macroscopic quantum coherence. No existing experiments of this kind were known to the authors, but research into the isomerisation of rhodopsin suggests the presence of quantum coherence.