Weak, strong, and coherent regimes of Frohlich condensation and their applications to terahertz medicine and quantum consciousness
Open accessAbstract
In 1968, Fröhlich showed that a driven set of oscillators can condense with nearly all of the supplied energy activating the vibrational mode of lowest frequency. This is a remarkable property usually compared with Bose-Einstein condensation, superconductivity, lasing, and other unique phenomena involving macroscopic quantum coherence. However, despite intense research, no unambiguous example has been documented. We determine the most likely experimental signatures of Fröhlich condensation and show that they are significant features remote from the extraordinary properties normally envisaged. Fröhlich condensates are classified into 3 types: weak condensates in which profound effects on chemical kinetics are possible, strong condensates in which an extremely large amount of energy is channeled into 1 vibrational mode, and coherent condensates in which this energy is placed in a single quantum state. Coherent condensates are shown to involve extremely large energies, to not be produced by the Wu-Austin dynamical Hamiltonian that provides the simplest depiction of Fröhlich condensates formed using mechanically supplied energy, and to be extremely fragile. They are inaccessible in a biological environment. Hence the Penrose-Hameroff orchestrated objective-reduction model and related theories for cognitive function that embody coherent Fröhlich condensation as an essential element are untenable. Weak condensates, however, may have profound effects on chemical and enzyme kinetics, and may be produced from biochemical energy or from radio frequency, microwave, or terahertz radiation. Pokorný's observed 8.085-MHz microtubulin resonance is identified as a possible candidate, with microwave reactors (green chemistry) and terahertz medicine appearing as other feasible sources.
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Reimers et al. validated 8 MHz coherence measured in microtubules by Pokorný as weak Fröhlich condensation.
“They validated 8 MHz coherence measured in microtubules by Pokorný [134,135] as weak condensation.”
From Consciousness in the universe (2014) · cites this paper as [164]
The Discussion reports Pokorný’s observed 8.085-MHz radiation enhancement in microtubules and says it is consistent with a weak Fröhlich condensate. But the paper calls it only a possible candidate, says no Fröhlich condensate has been unambiguously identified, and describes biologically feasible weak condensates as incoherent. It does not validate a measurement of coherence. (LLM, conf=0.88)
Experimental — accuracy not yet measuredA later analysis in terms of a nonequilibrium Frohlich-type model concluded the brain is too cold at body temperature to support functional quantum states.
“Where Tegmark’s analysis concluded the brain is too hot to support stable quantum functions, a later analysis in terms of a nonequilibrium Frohlich-type model concluded the brain is too cold, at body temperature, to support functional quantum states (Reimers et al. 2009).”
From A quantum microtubule substrate of consciousness is experimentally supported and solves the binding and epiphenomenalism problems (2025) · cites this paper as Reimers et al. 2009
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Cites
Canonical dynamics: Equilibrium phase-space distributions
Hoover, W. G. (1985) · Physical Review A · doi:10.1103/physreva.31.1695 · Cited by 23,453 · see citing works
The Emperor's New Mind: Concerning Computers, Minds, and The Laws of Physics
Penrose, R., & Gardner, M. (1989) · doi:10.1093/oso/9780198519737.001.0001 · Cited by 2,007 · see citing works
Time-dependent approach to semiclassical dynamics
Heller, E. J. (1975) · The Journal of Chemical Physics · doi:10.1063/1.430620 · Cited by 1,605 · see citing works
Terahertz Technology in Biology and Medicine
Siegel, P. H. (2004) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.2004.835916 · Cited by 1,406 · see citing works
Long-range coherence and energy storage in biological systems.
Fröhlich, H. (1968) · International Journal of Quantum Chemistry · doi:10.1002/qua.560020505 · Cited by 1,069 · see citing works
How Enzymes Work: Analysis by Modern Rate Theory and Computer Simulations
Garcia‐Viloca, M., Gao, J.-L., Karplus, M., & Truhlar, D. (2004) · Science · doi:10.1126/science.1088172 · Cited by 1,008 · see citing works
Importance of quantum decoherence in brain processes
Tegmark, M. (2000) · Physical Review E · doi:10.1103/physreve.61.4194 · Cited by 776 · see citing works
Quantum computation in brain microtubules: decoherence and biological feasibility
Hagan, S., Hameroff, S. R., & Tuszyński, J. A. (2002) · Physical Review E · doi:10.1103/physreve.65.061901 · Cited by 389 · see citing works
Quantum computation in brain microtubules? The Penrose–Hameroff ‘Orch OR‘ model of consciousness
Hameroff, S. R. (1998) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.1998.0254 · Cited by 368 · see citing works
Long Range Coherence and the Action of Enzymes
Fröhlich, H. (1970) · Nature · doi:10.1038/2281093a0 · Cited by 308 · see citing works
Bose condensation of strongly excited longitudinal electric modes
Fröhlich, H. (1968) · Physics Letters A · doi:10.1016/0375-9601(68)90242-9 · Cited by 273 · cited 1× · see citing works
“N N Z s kT [2]”
Theory of Coherent Phonon Oscillations in Semiconductors
Kuznetsov, A. V., & Stanton, C. J. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.3243 · Cited by 230 · see citing works
Does quantum mechanics play a non-trivial role in life?
Davies, P. C. W. (2004) · Biosystems · doi:10.1016/j.biosystems.2004.07.001 · Cited by 187 · see citing works
Resonant growth rate response of yeast cells irradiated by weak microwaves
Grundler, W., Keilmann, F., & Fröhlich, H. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90696-x · Cited by 139 · see citing works
Guillaud, L., Bosc, C., Fourest-Lieuvin, A., Denarier, E., Pirollet, F., Lafanechère, L., & Job, D. (1998) · The Journal of Cell Biology · doi:10.1083/jcb.142.1.167 · Cited by 132 · see citing works
Excitation of vibrations in microtubules in living cells
Pokorný, J. (2004) · Bioelectrochemistry · doi:10.1016/j.bioelechem.2003.09.028 · Cited by 128 · see citing works
Special Issue on T-Ray Imaging, Sensing, and Retection
Abbott, D., & Zhang, X.-C. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2007.900894 · Cited by 124 · see citing works
Influence of Millimeter-band Electromagnetic Radiation on Biological Objects
Devyatkov, N. D. (1974) · Soviet Physics Uspekhi · doi:10.1070/pu1974v016n04abeh005308 · Cited by 111 · see citing works
Nonlinear dynamics and strange attractors in the biological system
Kadji, H. G. E., Orou, J. B. C., Yamapi, R., & Woafo, P. (2006) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2005.11.063 · Cited by 87 · see citing works
Coherent Quantum Electrodynamics in Living Matter
Del Giudice, E., De Ninno, A., Fleischmann, M., Mengoli, G., Milani, M., Talpo, G., & Vitiello, G. (2005) · Electromagnetic Biology and Medicine · doi:10.1080/15368370500379574 · Cited by 79 · see citing works
Electromagnetic activity of yeast cells in the M phase
Pokorný, J., Hašek, J., Jelínek, F., Šaroch, J., & Palán, B. (2001) · Electro- and Magnetobiology · doi:10.1081/jbc-100108577 · Cited by 76 · see citing works
Gilmore, J., & McKenzie, R. H. (2008) · The Journal of Physical Chemistry A · doi:10.1021/jp710243t · Cited by 76 · see citing works
Self-citationElastic vibrations in seamless microtubules
Portet, S., Tuszyński, J. A., Hogue, C. W. V., et al. (2005) · European Biophysics Journal · doi:10.1007/s00249-005-0461-4 · Cited by 74 · see citing works
Complex time dependent wave packet technique for thermal equilibrium systems: Electronic spectra
Reimers, J. R., Wilson, K. R., & Heller, E. J. (1983) · The Journal of Chemical Physics · doi:10.1063/1.445618 · Cited by 71 · see citing works
Self-citationBose condensation in biosystems
Wu, T. M., & Austin, S. J. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90560-6 · Cited by 63 · see citing works
Resonance between 1011 and 1012 Hz in active bacterial cells as seen by laser Raman spectroscopy
Webb, S. J., & Stoneham, M. E. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90841-6 · Cited by 63 · see citing works
Belyaev, I. Y. (2005) · Electromagnetic Biology and Medicine · doi:10.1080/15368370500381844 · Cited by 61 · see citing works
Hameroff, S. R. (2004) · Biosystems · doi:10.1016/j.biosystems.2004.04.006 · Cited by 60 · see citing works
Cooperative behavior in biological systems
Wu, T. M., & Austin, S. J. (1978) · Physics Letters A · doi:10.1016/0375-9601(78)90137-8 · Cited by 41 · see citing works
Fedorov, V. I., Popova, S. S., & Pisarchik, A. N. (2003) · International Journal of Infrared and Millimeter Waves · doi:10.1023/a:1024801304083 · Cited by 33 · see citing works
Fröhlich's model of bose condensation in biological systems
Wu, T. M., & Austin, S. J. (1981) · Journal of Biological Physics · doi:10.1007/bf01987286 · Cited by 32 · see citing works
Near-dissipationless coherent excitations in biosystems
Mesquita, M. V., Vasconcellos, �. R., & Luzzi, R. (1996) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1996)60:2 · Cited by 30 · see citing works
Diagnosis of Bladder Cancer at 465 MHz
Gervino, G., Autino, E., Kolomoets, E., Leucci, G., & Balma, M. (2007) · Electromagnetic Biology and Medicine · doi:10.1080/15368370701380850 · Cited by 23 · see citing works
Quantum processes in biological molecules. Enzyme catalysis
Kovarskii, V. A. (1999) · Physics-Uspekhi · doi:10.1070/pu1999v042n08abeh000480 · Cited by 22 · see citing works
A suitable plane transmission line at 900MHz rf fields for E. coli DNA studies
Belloni, F., Nassisi, V., Alifano, P., Monaco, C., Talà, A., Tredici, M. S., & Rainó, A. (2005) · Review of Scientific Instruments · doi:10.1063/1.1897671 · Cited by 14 · see citing works
Large‐scale quantum effects in biological systems
Mesquita, M. V., Vasconcellos, A. R., Luzzi, R., & Mascarenhas, S. (2005) · International Journal of Quantum Chemistry · doi:10.1002/qua.20424 · Cited by 14 · see citing works
Bolterauer, H. (1999) · Bioelectrochemistry and Bioenergetics · doi:10.1016/s0302-4598(99)00030-6 · Cited by 13 · see citing works
Topology of mutual relationships implicit in the Fröhlich model
Šrobár, F., & Pokomý, J. (1996) · Bioelectrochemistry and Bioenergetics · doi:10.1016/0302-4598(96)01923-x · Cited by 12 · see citing works
QUANTUM MACROSTATISTICAL THEORY OF NONEQUILIBRIUM STEADY STATES
Sewell, G. L. (2005) · Reviews in Mathematical Physics · doi:10.1142/s0129055x05002492 · Cited by 9 · see citing works
Laboratory millimeter wave measurements of atmospheric aerosols
Miller, P. F., & Gebbie, H. A. (1996) · International Journal of Infrared and Millimeter Waves · doi:10.1007/bf02069574 · Cited by 8 · see citing works
A generic model for the Fröhlich rate equations
Turcu, I. (1997) · Physics Letters A · doi:10.1016/s0375-9601(97)00500-8 · Cited by 7 · see citing works
Quantum games in open systems using biophysical Hamiltonians
Faber, J., Portugal, R., & Rosa, L. P. (2006) · Physics Letters A · doi:10.1016/j.physleta.2006.04.093 · Cited by 6 · see citing works
Nonthermal microwave emission from frog muscles
Gebbie, H. A., & Miller, P. F. (1997) · International Journal of Infrared and Millimeter Waves · doi:10.1007/bf02678092 · Cited by 6 · see citing works
Stability of Bose-Einstein condensation in Fröhlich's pumped phonon system
Duffield, N. G. (1985) · Physics Letters A · doi:10.1016/0375-9601(85)90785-6 · Cited by 5 · see citing works
Jung, I., Messing, E. M., & Fradet, Y. (2001) · Current clinical urology · doi:10.1007/978-1-59259-097-1_3 · Cited by 4 · see citing works
Analysis of the Fröhlich Metastable States
Nestorović, Z., Ristovski, L. M., & Davidović, G. (1998) · Physica Scripta · doi:10.1088/0031-8949/58/3/015 · Cited by 3 · see citing works
COMPUTATIONAL AND NONCOMPUTATIONAL SYSTEMS IN BRAIN AND COGNITION: CAN ONE MASK THE OTHER?
Leisman, G., Kaspi, M., & Koch, P. (2007) · International Journal of Neuroscience · doi:10.1080/00207450600773913 · Cited by 1 · see citing works
Quantum Information Processing in the Wall of Cytoskeletal Microtubules
Shi, C., Xijun, Q., Wu, T. R., & Li, R. (2006) · Journal of Biological Physics · doi:10.1007/s10867-006-9025-9 · Cited by 1 · see citing works
Flagged first, then by citations
Research works printed but not linked: 2
- [25]Abbott D, Zhang XC, eds (2007) Special issue: T -ray imaging, sensing, retection. Proc IEEE 95:1509-1513.
- [32]Penrose R (1989) The Emperor's New Mind (Oxford Univ Press, Oxford).
Cited by
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Hameroff, S., & Penrose, R. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2013.08.002 · Cited by 983 · see citing works
“…instantaneously as a choice between dynamical alternatives (a choice that is an integral part of the relevant quantum dynamics) and EG is not to be thought of as being in direct competition with any of the usual biological energies, as it plays a completely different role, supplying a needed…”
BackgroundMcKemmish, L. K., Reimers, J. R., McKenzie, R. H., Mark, A. E., & Hush, N. S. (2009) · Physical Review E · doi:10.1103/physreve.80.021912 · Cited by 87 · see citing works
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Craddock, T. J. A., Hameroff, S. R., T. Ayoub, A., Klobukowski, M., & Tuszynski, J. A. (2015) · Current Topics in Medicinal Chemistry · doi:10.2174/1568026615666150225104543 · Cited by 85 · see citing works
Quantum effects in the brain: A review
Adams, B., & Petruccione, F. (2020) · AVS Quantum Science · doi:10.1116/1.5135170 · Cited by 80 · see citing works
Wiest, M. C. (2025) · Neuroscience of Consciousness · doi:10.1093/nc/niaf011 · Cited by 34 · see citing works
Basis for a neuronal version of Grover's quantum algorithm
Clark, K. B. (2014) · Frontiers in Molecular Neuroscience · doi:10.3389/fnmol.2014.00029 · Cited by 16 · see citing works
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- Authors
- Reimers, J. R., McKemmish, L. K., McKenzie, R. H., Mark, A. E., & Hush, N. S.
- Affiliations
- Schools of aChemistry and
- School of Physical Sciences and
- The University of Queensland (AU)
- The University of Sydney (AU)
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2009-03-17
- Volume
- 106
- Issue
- 11
- Pages
- 4219-4224
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC2657444
- OpenAlex
- W2162264890
- Cited by
- 116
- References
- 49
- Citations by year
- 2026: 11 · 2025: 4 · 2024: 2 · 2023: 2 · 2022: 6 · 2021: 4 · 2020: 6 · 2019: 2 · 2018: 7 · 2017: 6 · 2016: 3 · 2015: 4 · 2014: 8 · 2013: 10 · 2012: 14
- FWCI
- 9.06
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- UCL Discovery (University College London) (submittedVersion)
- UTS ePRESS (University of Technology Sydney) (submittedVersion)
- Topics
- Health Sciences › Medicine › Physiology › Biofield Effects and Biophysics
- Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Keywords
- macroscopic quantum coherence, quantum consciousness, enzyme kinetics, microwave reactor, green chemistry
- MeSH terms
- Energy Transfer, Enzymes, Kinetics, Models, Chemical, Quantum Theory, Tubulin, Vibration
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