Quantum Models of Consciousness from a Quantum Information Science Perspective
Open accessAbstract
This perspective explores various quantum models of consciousness from the viewpoint of quantum information science, offering potential ideas and insights. The models under consideration can be categorized into three distinct groups based on the level at which quantum mechanics might operate within the brain: those suggesting that consciousness arises from electron delocalization within microtubules inside neurons, those proposing it emerges from the electromagnetic field surrounding the entire neural network, and those positing it originates from the interactions between individual neurons governed by neurotransmitter molecules. Our focus is particularly on the Posner model of cognition, for which we provide preliminary calculations on the preservation of entanglement of phosphate molecules within the geometric structure of Posner clusters. These findings provide valuable insights into how quantum information theory can enhance our understanding of brain functions.
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Written from the paper’s full text.
TL;DR
This perspective reviews quantum models of consciousness at three biological levels—microtubules, the brain’s electromagnetic field, and molecular neuronal interactions—and adds preliminary toy-model calculations on entanglement preservation in Posner-like phosphate geometries. It finds that a tetrahedral geometry, closest to the phosphate arrangement in Posner clusters, best preserves entanglement between central spins.
Key findings
- The paper groups quantum consciousness models into three levels: electron delocalization within microtubules (Orch OR), the electromagnetic field surrounding the neural network (CEMI field theory), and molecular interactions among neurons (Fisher’s Posner model).
- For microtubules, it discusses superradiant excitonic states, citing a model with up to 100 spirals of 13 microtubule protofilaments and 104 tryptophan dipoles per spiral; the superradiant state becomes the lowest excitonic state for systems with more than 12 spirals, and delocalization is on the external wall for superradiant states versus the inner lumen for subradiant states.
- In the authors’ toy model, entanglement between two central spins is conserved longer for \(N=4\) with maximum connectivity among buffer spins, which is the closest geometry to the tetrahedral phosphate molecule; protection is optimal when buffer-spin interactions are turned on.
- The theoretical explanation maps a fully connected buffer network to a central spin coupled to a single dressed buffer spin for \(N=2,3,4\) (and two for \(N=5\)), producing more non-Markovian dynamics and information backflow; trace-distance oscillations are more pronounced for \(N=4\).
Methods
- Perspective/review of three quantum consciousness models, with emphasis on Fisher’s Posner model; the authors state they do not aim to prove or disprove any theory.
- For entanglement preservation, they use a toy open-system model: two clusters of \(N+1\) spin-1/2 particles, each with a central spin entangled in a Bell state and buffer spins in a thermal state; Hamiltonian includes \(z\)-fields and \(XX+YY\) couplings; dynamics follow a Lindblad master equation with local thermal dissipation.
- They compare planar buffer-network geometries with no connectivity versus maximum connectivity, quantify entanglement via logarithmic negativity, diagonalize the Hamiltonian in a dressed-spin picture, and use trace distance to assess non-Markovianity.
Limitations
- Stated: the paper is not a comprehensive review and excludes well-established approaches such as the dissipative quantum model of the brain and holographic brain theory.
- Stated: the authors do not conclusively prove Fisher’s proposal; the toy model is a first step toward a more realistic biological model, and Posner cluster coherence has not yet been studied experimentally.
- Stated/evident: the CEMI field theory lacks a mathematical model, and the Orch OR theory faces a conceptual gap between microtubule-level quantum phenomena and macroscopic consciousness; the presented entanglement results are preliminary numerical calculations rather than experimental evidence.
Model-written summary. Check it against the paper before relying on it.
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Claims the paper makes
0 of 58 cited sources checked · 0 supported · 0 flagged
- Findingcitation
In the dressed picture, local baths on each buffer spin become global baths acting collectively on the dressed buffer spins.
“In the dressed picture, the separate baths acting locally on each buffer spins become global baths [102,103] acting collectively on the dressed buffer spins.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [102] Cattaneo, 2019, Local versus global master equation with common and separate baths: Superiority of the global approach in partial secular approximation, New J. Phys. source
Not checked in the free run.
- cites [103] Hofer, 2017, Markovian master equations for quantum thermal machines: Local versus global approach, New J. Phys. source
Not checked in the free run.
- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingreasoning
For N=5, the central spin is coupled to only two dressed buffer spins.
“However, a similar reasoning applies and it can be shown that the central spin is coupled to only two dressed buffer spins, as depicted in Figure 5 (column C).”
Quote in the paperNot a substantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingcitation
In a recent article, the authors found that tetrahedral geometry is the best candidate for protection of quantum coherence in a central spin, closely resembling the phosphate molecule.
“In a recent article, we have explored the preservation of quantum coherence in various geometries [29]. We found that the tetrahedral geometry is the best candidate for the protection of quantum coherence in a central spin, which closely resembles the structure of the phosphate molecule.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [29] Gassab, 2024, Geometrical optimization of spin clusters for the preservation of quantum coherence, Phys. Rev. source
Not checked in the free run.
- Findingreasoning
By applying a unitary transformation, the Hamiltonian of a fully connected buffer network can be mapped to a system of non-interacting dressed buffer spins.
“By applying a unitary transformation to the Hamiltonian, we can transition from a fully connected graph of buffer spins to the other extreme, where the buffer spins do not interact with each other.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingown data
Protection of entanglement is optimal when interactions between buffer spins are turned on.
“We have also compared the protection time of entanglement between vanishing and maximal connectivities in the buffer network and shown that protection is optimal when interactions are turned on.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingown data
Entanglement is conserved for an extended duration in the case of N=4 with maximum connectivity between buffer spins.
“We observe that entanglement is conserved for an extended duration in the case of N=4 with maximum connectivity between buffer spins as shown in Table 1.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingreasoning
In the tetrahedral geometry (N=4), there is a significant improvement in quantum information preservation.
“Finally, we point out that in the tetrahedral geometry (N=4), there is a significant improvement in quantum information preservation (Figure 4).”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingown data
In the numerical verification, for N=4, the trace distance between the two initially orthogonal central spin states shows more pronounced oscillations.
“As shown in Figure 6, for N=4, we observe more pronounced oscillations, indicating higher non-Markovianity.”
Quote in the paperSubstantial claim - Findingcitation
For N≥5, it is physically impossible to construct a fully connected network given the position of the central spin.
“For N≥5, it is physically impossible to construct a fully connected network, given the position of the central spin (see e.g., [29]), and for instance for N=5 the interaction between spin 2 and spin 6 is missing.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [29] Gassab, 2024, Geometrical optimization of spin clusters for the preservation of quantum coherence, Phys. Rev. source
Not checked in the free run.
- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Findingreasoning
N=4 presents the strongest possible coupling between the central spin and a single dressed buffer spin.
“We observe that N=4 presents the strongest possible coupling between the central spin and a singled dressed buffer spin (Figure 5), as for N≥5 the fully connected geometry is not possible.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Interpretationcitation
Energy transfer in biological systems may adhere to quantum mechanical principles rather than classical pathways.
“This quantum phenomenon suggests that energy transfer in biological systems may adhere to quantum mechanical principles rather than classical pathways [51,52].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [51] Scholes, 2017, Using coherence to enhance function in chemical and biophysical systems, Nature source
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- cites [52] McFadden, 2018, The origins of quantum biology, Proc. R. Soc. source
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- Rests on an assumption: The specific mechanisms underlying energy transfer in microtubules remain unknown.
- Premisecitation
Recent experimental studies have demonstrated that microtubules can capture and transfer energy over distances of approximately 6.6 nm, surpassing classical predictions.
“Recent experimental studies have demonstrated that microtubules can capture and transfer energy over distances of approximately 6.6 nm, surpassing classical predictions [48,49,50].”
Quote in the paperSubstantial claim0 of 3 sources checked- cites [48] Babcock, 2024, Ultraviolet superradiance from mega-networks of tryptophan in biological architectures, J. Phys. Chem. source
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- cites [49] Kalra, 2023, Electronic energy migration in microtubules, ACS Cent. Sci. source
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- cites [50] Patwa, H., Babcock, N.S., and Kurian, P. (2024). Quantum-enhanced photoprotection in neuroprotein architectures emerges from collective light-matter interactions. Front. Phys., 12. source
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- Premisecitation
Each existing quantum model of brain activity focuses on a specific dimension of neural processes, such as consciousness, cognition, or perception.
“Each existing model focuses on a specific dimension of neural processes, such as consciousness, cognition, or perception (including numerosity perception; see, for instance, the spin model in [14]), with the overarching goal of understanding the brain.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [14] Yago Malo, J., Cicchini, G.M., Morrone, M.C., and Chiofalo, M.L. (2023). Quantum spin models for numerosity perception. PLoS ONE, 18. source
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- Premisecitation
The non-Hermitian Hamiltonian approach has been used to develop a theoretical model for exciton transport within microtubules.
“The non-Hermitian Hamiltonian approach outlined above has been recently utilized in Ref. [61] to develop a theoretical model for exciton transport within microtubules.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
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- Rests on an assumption: Exciton delocalization plays an important role in biological networks of photoactive molecules by providing giant transition dipoles that can strongly couple to the electromagnetic field, enable superabsorption and supertransfer, and transport cellular photoexcitation to a specific reaction center.
- Interpretationcitation
Exciton delocalization in the superradiant state potentially facilitates communication with cellular proteins.
“This investigation revealed that the exciton in the superradiant state is delocalized over all Trp sites on the microtubule’s external wall, potentially facilitating communication with cellular proteins.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Interpretationreasoning
The simultaneous presence of an exciton at two different Trp sites with nonzero probabilities cannot be interpreted as the exciton being delocalized across these two sites.
“In this example, the simultaneous presence of the exciton at two different Trp sites with nonzero probabilities cannot be interpreted as the exciton being delocalized across these two sites.”
Quote in the paperSubstantial claim - Interpretationcitation
Exciton delocalization in the subradiant state possibly contributes to neuronal process synchronization.
“Conversely, exciton delocalization in the long-lived subradiant state is concentrated on the inner wall of the microtubule lumen, possibly contributing to neuronal process synchronization.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
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- Premisecitation
Photoexcitation spreads ballistically along the longitudinal axis of microtubule segments.
“Furthermore, photoexcitation was found to spread ballistically along the longitudinal axis”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Premisecitation
For systems with more than 12 spirals, the superradiant state corresponds to the lowest excitonic state.
“When the decay widths of all right eigenstates |ER〉 were plotted after being normalized by the single dipole decay width γ in [61], it was realized that the superradiant state corresponds to the lowest excitonic state for the systems that have more than 12 spirals.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Interpretationreasoning
Probability-based approaches might be misleading in witnessing exciton delocalization, especially when the microtubule is an open system.
“Thus, probability-based approaches might be misleading in witnessing exciton delocalization, especially when the microtubule is an open system.”
Quote in the paperSubstantial claim - Premisecitation
The formation of strongly superradiant states from collective interactions among over 105 Trp UV-excited transition dipoles within microtubule structures enhances the efficiency of ultraviolet light absorption and its redistribution to lower energy levels.
“Interestingly, they observed that the formation of strongly superradiant states—resulting from collective interactions among over 105 Trp UV-excited transition dipoles within microtubule structures—enhances the efficiency of ultraviolet light absorption and its redistribution to lower energy levels.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [48] Babcock, 2024, Ultraviolet superradiance from mega-networks of tryptophan in biological architectures, J. Phys. Chem. source
Not checked in the free run.
- Premisecitation
In the superradiant state, the exciton is delocalized over all Trp sites on the microtubule's external wall.
“This investigation revealed that the exciton in the superradiant state is delocalized over all Trp sites on the microtubule’s external wall, potentially facilitating communication with cellular proteins.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Premisecitation
In the long-lived subradiant state, exciton delocalization is concentrated on the inner wall of the microtubule lumen.
“Conversely, exciton delocalization in the long-lived subradiant state is concentrated on the inner wall of the microtubule lumen, possibly contributing to neuronal process synchronization.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Premiseown data
The ground state of a whole microtubule segment acts as a coherent superposition of the ground states of its smaller components.
“The same probability-based analysis using smaller microtubule segments (specific groups of 13 coupled spirals, the minimum number ensuring the superradiant state as the lowest excitonic state) showed that the ground state of the whole segment acts as a coherent superposition of the ground states of its smaller components.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Premisecitation
Superradiance in microtubules demonstrates robustness to disorder, even with uniformly distributed excitation energy across Trp dipole sites.
“the superradiance demonstrated robustness to disorder, even with uniformly distributed excitation energy across Trp dipole sites.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- Interpretationcitation
This mechanism may provide potential protection for cells against ultraviolet-induced damage.
“This mechanism may provide potential protection for cells against ultraviolet-induced damage.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [48] Babcock, 2024, Ultraviolet superradiance from mega-networks of tryptophan in biological architectures, J. Phys. Chem. source
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- Premisecitation
The CEMI Field Theory serves as the foundation for examining the experimentally observed correlations between synchronized neuronal firing and conscious awareness.
“The Conscious Electromagnetic Information (CEMI) Field Theory, proposed by Johnjoe McFadden [23], serves as the foundation for examining the experimentally observed correlations between synchronized neuronal firing and conscious awareness [75].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [23] McFadden, J. (2000). Quantum Evolution—The New Science of Life, HarperCollins. [1st ed.].
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- cites [75] Varela, 2001, The brainweb: Phase synchronization and large-scale integration, Nat. Rev. Neurosci. source
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- Premisecitation
Non-Markovian dynamics better preserve quantum information due to backflow of quantum information from the reservoir to the central spin.
“Furthermore, it is well-known that non-Markovian dynamics better preserve quantum information, as non-Markovianity induces a backflow of quantum information from the reservoir to the central spin [106,107,108,109,110,111,112,113,114,115,116].”
Quote in the paperSubstantial claim0 of 10 sources checked- cites [106] Mazzola, 2009, Pseudomodes as an effective description of memory: Non-Markovian dynamics of two-state systems in structured reservoirs, Phys. Rev. A At. Mol. Opt. Phys. source
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- cites [107] Garraway, 1997, Decay of an atom coupled strongly to a reservoir, Phys. Rev. source
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- cites [108] Garraway, 1997, Nonperturbative decay of an atomic system in a cavity, Phys. Rev. source
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- cites [109] Huang, 2008, Quantum dynamics of a qubit coupled with a structured bath, J. Phys. Condens. Matter source
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- cites [110] 2017, Two coupled qubits interacting with a thermal bath: A comparative study of different models, Opt. Commun. source
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- cites [111] Rebentrost, 2009, Optimal control of a qubit coupled to a non-Markovian environment, Phys. Rev. Lett. source
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- cites [112] Kofman, 1994, Spontaneous and induced atomic decay in photonic band structures, J. Mod. Opt. source
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- cites [113] Naseem, 2021, Ground-state cooling of mechanical resonators by quantum reservoir engineering, Commun. Phys. source
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- cites [114] Xue, S., James, M.R., Shabani, A., Ugrinovskii, V., and Petersen, I.R. (2015, January 21–23). Quantum filter for a non-Markovian single qubit system. Proceedings of the 2015 IEEE Conference on Control Applications (CCA), Sydney, NSW, Australia. source
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- cites [115] Naseem, 2020, Minimal quantum heat manager boosted by bath spectral filtering, Phys. Rev. Res. source
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- Premisereasoning
The CEMI field theory lacks a mathematical model to validate its viability.
“Another reason for the theory’s limited reception is that it still lacks a mathematical model to validate its viability.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Phosphorus emerges as the best candidate for a neural qubit.
“Therefore, phosphorus emerges as the best candidate for a neural qubit.”
Quote in the paperSubstantial claim - Interpretationreasoning
The decoupling of the central spin from most dressed buffer spins is due to the system Hamiltonian being highly symmetric.
“We remark that the decoupling of the central spin from most of the dressed buffer spins is due to the system Hamiltonian being highly symmetric.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Premisecitation
The optimal candidate for a neural qubit in the brain should have a nuclear spin of 1/2 to ensure long-lived coherence.
“The optimal candidate for a neural qubit in our brain should have a nuclear spin of 12 to ensure long-lived coherence.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [28] Fisher, 2015, Quantum cognition: The possibility of processing with nuclear spins in the brain, Ann. Phys. source
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- Interpretationreasoning
The fully connected buffer network preserves entanglement longer than the non-interacting network.
“It is thus reasonable to expect that the fully connected buffer network preserves entanglement during a longer time than the non-interacting network, as we indeed observe.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Interpretationown data
The tetrahedral geometry, adopted by the phosphate molecule in the Posner Cluster, offers superior entanglement protection.
“Our findings suggest that the tetrahedral geometry, adopted by the phosphate molecule in the Posner Cluster, offers superior entanglement protection.”
Quote in the paperSubstantial claim- Rests on an assumption: The toy model examined resembles the phosphate molecule in the Posner cluster closely enough that conclusions about entanglement protection in the toy model apply to the phosphate molecule in the Posner cluster.
- Rests on an assumption: The phosphate molecule in the Posner Cluster adopts a tetrahedral geometry.
- Interpretationcitation
The increase in trace distance between the two states indicates a backflow of information from the environment (buffer network) to the system.
“This increase indicates a backflow of information from the environment (buffer network) to the system.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [117] Karlsson, 2012, Optimal state pairs for non-Markovian quantum dynamics, Phys. Rev. A At. Mol. Opt. Phys. source
Not checked in the free run.
- Interpretationown data
The more pronounced oscillations observed for N=4 indicate higher non-Markovianity.
“As shown in Figure 6, for N=4, we observe more pronounced oscillations, indicating higher non-Markovianity.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [117] Karlsson, 2012, Optimal state pairs for non-Markovian quantum dynamics, Phys. Rev. A At. Mol. Opt. Phys. source
Not checked in the free run.
- Interpretationreasoning
Quantum information would be preserved longer due to the strongest possible non-Markovian behavior in N=4.
“Consequently, quantum information would be preserved longer due to the strongest possible non-Markovian behavior, arising in the case of N=4.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
- Interpretationreasoning
Diagonalizing the Hamiltonian to map the geometry to an alternative representation more clearly reveals the impact of an effective almost isolated buffer network (a single dressed buffer spin coupled to the central spin) on quantum information protection.
“This approach more clearly reveals the impact of an effective almost isolated buffer network (a single dressed buffer spin coupled to the central spin) on quantum information protection.”
Quote in the paperSubstantial claim
- May combine two claims. 10
- The quote only partly states this claim. 1
- Classified as probably not a substantial claim. 18
May combine two claims.
Findingown dataThe tetrahedral geometry characteristic of phosphate in Posner molecules better preserves coherence and maintains entanglement.
“Our numerical results demonstrate that this specific geometry not only better preserves coherence but also maintains entanglement.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [29] Gassab, 2024, Geometrical optimization of spin clusters for the preservation of quantum coherence, Phys. Rev. source
Not checked in the free run.
May combine two claims. The quote only partly states this claim.
FindingreasoningFor N=2,3,4, the central spin is coupled to a single dressed buffer spin with energy ω+(N−1)G, and the coupling constant is equal to G√(N−1).
“In other words, for N=2,3,4, the central spin is coupled to a single dressed buffer spin with energy ω+(N−1)G. Furthermore, the coupling constant is equal to GN−1.”
Quote in the paperSubstantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
PremisecitationTerms such as mind, consciousness, and instincts are not accurately defined because appropriate tools to gauge them are lacking.
“There are quite a few terms, such as mind [6,7,8], consciousness [9,10], and instincts, pertaining to the brain or what goes on inside it, that are not accurately defined because we do not have the appropriate tools yet to gauge them [11]”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [11] Bayne, 2024, Tests for consciousness in humans and beyond, Trends Cogn. Sci. source
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Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationQuantum theory has been employed to explore various aspects of brain activity.
“Quantum theory has been employed to explore various aspects of brain activity in fascinating ways [12,13].”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [12] Gao, S. (2022). Can Quantum Mechanics Solve the Hard Problem of Consciousness?. Consciousness and Quantum Mechanics, Oxford University Press. source
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- cites [13] Adams, 2020, Quantum effects in the brain: A review, AVS Quantum Sci. source
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Probably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenA purely algorithmic and deterministic perspective leaves little room for concepts such as qualia and free will in understanding consciousness.
“However, a purely algorithmic and deterministic perspective seems to leave little room for the inclusion of concepts such as qualia and free will in the understanding of consciousness.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationConsciousness is widely assumed in modern science and philosophy to arise from complex synaptic computations within neural networks, with brain neurons as fundamental units of information.
“The prevailing assumption in both modern science and philosophy is that consciousness arises from complex synaptic computations within neural networks, where brain neurons function as fundamental units of information [1,2].”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [1] McCulloch, 1943, A logical calculus of the ideas immanent in nervous activity, Bull. Math. Biophys. source
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- cites [2] Hodgkin, 1952, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol. source
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May combine two claims.
PremisecitationFull or partial randomization of Trp dipole orientations destroys superradiance, indicating that superradiance depends on the particular order of these dipoles in microtubules.
“It was also demonstrated that either full or a partial randomization of Trp dipole orientations destroys the superradiance, which in turn indicates that the superradiance depends on the particular order of these dipoles in microtubules.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationIn the model of Ref. [61], aromatic tryptophan amino acids have the largest transition dipole moment in the structure of microtubules.
“In this model, aromatic tryptophan amino acids (Trp)—that have the largest transition dipole moment in the structure of microtubules—were treated as the photoactive molecular sites through which a single exciton delocalizes.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
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Classified as probably not a substantial claim.
PremisecitationComplex information is unified into coherent ideas that provide meaning within the brain.
“Additionally, Ref. [27] addressed criticisms suggesting that the binding problem is merely an illusion, showing instead how complex information is unified into coherent ideas that provide meaning within the brain.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [27] McFadden, 2013, The CEMI field theory: Gestalt information and the meaning of meaning, J. Conscious. Stud.
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Probably not a substantial claim: may not pass S4 (based).
Premisenone givenCertain phenomena, such as the binding problem, remain challenging to explain at the scale of neural networks.
“Yet, certain phenomena, such as the binding problem, remain challenging to explain at the scale of neural networks.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationHagan, Hameroff, and Tuszynski recalculated decoherence times, accounting for dielectric properties, dipole interactions, and quantum shielding effects, and extended coherence times to 10−5-10−40 s.
“However, Hagan, Hameroff, and Tuszynski [47] recalculated decoherence times, accounting for dielectric properties, dipole interactions, and quantum shielding effects. Their revised estimates extended coherence times to 10−5–10−40 s, which aligns with neurophysiological processes.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [47] Hagan, 2002, Quantum computation in brain microtubules: Decoherence and biological feasibility, Phys. Rev.
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Classified as probably not a substantial claim.
PremisecitationTegmark estimated that decoherence in microtubules would occur in the order of 10−13 s, making quantum effects seemingly irrelevant.
“Tegmark [46] estimated that decoherence in microtubules would occur in the order of 10−13 s, making quantum effects seemingly irrelevant.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [46] Tegmark, 2000, Importance of quantum decoherence in brain processes, Phys. Rev.
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- Rests on an assumption: The brain is a warm and noisy environment, generally not conducive to quantum effects.
May combine two claims.
PremisecitationExperiments have demonstrated that synchronous neuronal firing has a functional role in the brain and that the brain's endogenous EM field contributes to recruiting neurons into synchronously firing networks.
“For example, Refs. [26,76,77] reported experiments demonstrating that synchronous neuronal firing has a functional role in the brain and that the brain’s endogenous EM field contributes to recruiting neurons into synchronously firing networks.”
Quote in the paperSubstantial claim0 of 3 sources checked- cites [26] McFadden, 2013, The CEMI field theory: Closing the loop, J. Conscious. Stud.
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- cites [76] Bertagna, 2021, Effects of electromagnetic fields on neuronal ion channels: A systematic review, Ann. N. Y. Acad. Sci. source
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- cites [77] McFadden, 2021, The electromagnetic will, NeuroSci source
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Probably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenDiagonalizing the Hamiltonian clearly illustrates the impact of buffer isolation on quantum information protection.
“To better understand our results and the effects in various geometric configurations, we represent the geometry by diagonalizing the Hamiltonian, a method that clearly illustrates the impact of buffer isolation on quantum information protection.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe Orch OR theory conflicts with established principles of neuroscience.
“This idea, however, conflicts with established principles of neuroscience.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationcitationThe revised coherence time scale suggests that quantum coherence may be sustained long enough to influence neural processing and could play a role in the brain's larger-scale functions.
“This time scale is crucial because it suggests that quantum coherence may be sustained long enough to influence neural processing and could play a role in the brain’s larger-scale functions.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [47] Hagan, 2002, Quantum computation in brain microtubules: Decoherence and biological feasibility, Phys. Rev.
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
InterpretationreasoningThe quantum information science insights explored to enhance the theoretical framework in Ref. [61] are equally applicable to the more recent study in Ref. [48], offering a unified perspective on exciton delocalization and superradiance in microtubules.
“The insights from quantum information science that we have explored to enhance the theoretical framework in Ref. [61] are equally applicable to the more recent study in Ref. [48], offering a unified perspective on exciton delocalization and superradiance in microtubules.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [61] Celardo, 2019, On the existence of superradiant excitonic states in microtubules, New J. Phys. source
Not checked in the free run.
- cites [48] Babcock, 2024, Ultraviolet superradiance from mega-networks of tryptophan in biological architectures, J. Phys. Chem. source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenThe N=4 geometry is the closest to the tetrahedral geometry of the phosphate molecule.
“This geometry is the closest to the tetrahedral geometry of the phosphate molecule.”
Quote in the paperNot a substantial claim- Rests on an assumption: The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenIf synchronized firing produces a classical electromagnetic field, this field would likely create only classical correlations between distant neurons.
“If synchronized firing produces a classical electromagnetic field, this field would likely create only classical correlations between distant neurons.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningThere remains a significant conceptual gap between bottom-up quantum approaches and higher-level aspects of consciousness such as cognition, perception, and self-awareness.
“While the Orch OR theory presents a framework for linking large-scale quantum effects to brain activity, there remains a significant conceptual gap between these bottom-up approaches and the higher-level aspects of consciousness, such as cognition, perception, and self-awareness.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenA quantum electromagnetic field could generate quantum coherence or entanglement, potentially involving the brain's microtubules or water molecules.
“In contrast, a quantum electromagnetic field could generate quantum coherence or entanglement, potentially involving the brain’s microtubules or water molecules.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisecitationExperiments on Posner clusters have been conducted, but their coherence has not yet been studied experimentally.
“Furthermore, experiments on Posner clusters have been conducted to provide insights into their properties, but their coherence has not yet been studied experimentally [92,93,94,95,96].”
Quote in the paperNot a substantial claim0 of 5 sources checked- cites [92] Straub, 2023, Phosphates form spectroscopically dark state assemblies in common aqueous solutions, Proc. Natl. Acad. Sci. USA source
Not checked in the free run.
- cites [93] Straub, J.S. (2023). The Quantum Brain: Explorations and Adventures With Posner Molecules, University of California.
Not checked in the free run.
- cites [94] Habraken, 2013, Ion-association complexes unite classical and non-classical theories for the biomimetic nucleation of calcium phosphate, Nat. Commun. source
Not checked in the free run.
- cites [95] Deline, M.L., Straub, J., Patel, M., Subba, P., Grashei, M., van Heijster, F.H., Pirkwieser, P., Somoza, V., Livingstone, J.D., and Beazely, M. (2023). Lithium isotopes differentially modify mitochondrial amorphous calcium phosphate cluster size distribution and calcium capacity. Front. Physiol., 14. source
Not checked in the free run.
- cites [96] Deline, M.L., Grashei, M., van Heijster, F.H., Schilling, F., Straub, J., and Fromme, T. (2021). Adenylate kinase derived ATP shapes respiration and calcium storage of isolated mitochondria. Biochim. Biophys. Acta-(Bba)-Bioenerg., 1862. source
Not checked in the free run.
Classified as probably not a substantial claim. May combine two claims.
InterpretationreasoningThe transition from microtubule-level quantum phenomena to macroscopic brain function is not yet well understood, and the connection to psychological or philosophical interpretations of consciousness remains speculative.
“The transition from microtubule-level quantum phenomena to macroscopic brain function is not yet well understood, and the connection to psychological or philosophical interpretations of consciousness remains speculative.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Premisenone givenThere is a natural relationship between synchronization and correlation; strong synchronization in a neural network means high correlation between individual nerve cells.
“There is a natural relationship between the concepts of synchronization and correlation. Strong synchronization in a neural network means that there is a high correlation between individual nerve cells.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationown dataThe more pronounced oscillations for N=4 may explain the earlier findings and the enhanced protection observed in the tetrahedral geometry.
“This may explain our earlier findings and the enhanced protection observed in the tetrahedral geometry.”
Quote in the paperSubstantial claim- Rests on an assumption: The phosphate molecule in the Posner Cluster adopts a tetrahedral geometry.
Classified as probably not a substantial claim.
Interpretationnone givenThe findings do not conclusively prove Matthew Fisher's proposal on cognition.
“While our findings do not conclusively prove Matthew Fisher’s proposal on cognition, they offer valuable insights into how simplified models and quantum information measures can provide different perspectives and enhance our understanding of these theories.”
Quote in the paperSubstantial claim
The paper relies on this without support.
The specific mechanisms underlying energy transfer in microtubules remain unknown.
“However, the specific mechanisms underlying this energy transfer remain unknown.”
The paper relies on this without support.
The brain is a warm and noisy environment, generally not conducive to quantum effects.
“The brain is a warm and noisy environment, which is generally not very conducive to quantum effects.”
The paper relies on this without support.
Exciton delocalization plays an important role in biological networks of photoactive molecules by providing giant transition dipoles that can strongly couple to the electromagnetic field, enable superabsorption and supertransfer, and transport cellular photoexcitation to a specific reaction center.
“Exciton delocalization plays an important role in biological networks of photoactive molecules by providing giant transition dipoles that can strongly couple to the electromagnetic field, enable superabsorbtion and supertransfer, and transport the cellular photoexcitation to a specific reaction center.”
The paper relies on this without support.
The simplified spin network model (central spin surrounded by buffer spins) captures the essential features of phosphate molecules for studying entanglement preservation.
“To tackle this complex model, we introduce a simplified toy model to specifically investigate the behavior of phosphate molecules, focusing on the preservation of entanglement.”
The paper relies on this without support.
The toy model examined resembles the phosphate molecule in the Posner cluster closely enough that conclusions about entanglement protection in the toy model apply to the phosphate molecule in the Posner cluster.
“we provided insights into this model by examining a toy model that resembles the phosphate molecule in the Posner cluster and looking at the preservation of quantum entanglement.”
“Our findings suggest that the tetrahedral geometry, adopted by the phosphate molecule in the Posner Cluster, offers superior entanglement protection.”
The paper relies on this without support.
The phosphate molecule in the Posner Cluster adopts a tetrahedral geometry.
“Our findings suggest that the tetrahedral geometry, adopted by the phosphate molecule in the Posner Cluster, offers superior entanglement protection.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The Quantum-Multilinear Integrated Coefficient (Q) or the Posner model provides a mathematically principled measure for quantifying variance aligned with entanglement-structured task design.
“The development of the Quantum-Multilinear Integrated Coefficient (Q) [21] or the Posner model [22] provides a mathematically principled measure for quantifying variance aligned with entanglement-structured task design.”
From Quantum-Inspired and Non-Classical Approaches to Consciousness: Models, Evidence and Constraints (2026) · cites this paper as [22]
Section 4 describes the Posner model in terms of entangled spins and reports the use of concurrence to analyze entanglement. It does not present the Posner model as a measure of variance or connect it to entanglement-structured task design; those parts of the attributed claim are unsupported. (LLM, conf=0.82)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Revised coherence-time range includes a time shorter than Tegmark's estimate
MinorThe stated range extends down to 10−40 s, which is shorter than the preceding 10−13 s estimate, so the entire range cannot represent an extension of coherence time. The lower endpoint may be a transcription error.
“Their revised estimates extended coherence times to 10−5–10−40 s, which aligns with neurophysiological processes.”
“Tegmark [46] estimated that decoherence in microtubules would occur in the order of 10−13 s, making quantum effects seemingly irrelevant.”
Cites
Hodgkin, A. L., & Huxley, A. F. (1952) · The Journal of Physiology · doi:10.1113/jphysiol.1952.sp004764 · Cited by 23,191 · see citing works
A logical calculus of the ideas immanent in nervous activity
McCulloch, W. S., & Pitts, W. (1943) · The Bulletin of Mathematical Biophysics · doi:10.1007/bf02478259 · Cited by 18,566 · see citing works
The brainweb: phase synchronization and large-scale integration
Varela, F., Lachaux, J.-P., Rodriguez, E., & Martinerie, J. (2001) · Nature Reviews Neuroscience · doi:10.1038/35067550 · Cited by 4,761 · see citing works
Baumgratz, T., Cramer, M., & Plenio, M. B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.140401 · Cited by 2,721 · 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
On gravity's role in quantum state reduction
Penrose, R. (1996) · General Relativity and Gravitation · doi:10.1007/bf02105068 · Cited by 1,872 · see citing works
Mostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1418246 · Cited by 1,645 · see citing works
Hameroff, S., & Penrose, R. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2013.08.002 · Cited by 983 · cited 4× · see citing works
“However, more recent iterations of the theory have shifted focus away from conformational superpositions, emphasizing instead the superposition of tubulin excitation dipole states as the primary mechanism for information encoding [22].”
InfluentialMostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1461427 · Cited by 837 · see citing works
Habraken, W. J. E. M., Tao, J., Brylka, L. J., Friedrich, H., Bertinetti, L., Schenk, A. S., Verch, A., Dmitrovic, V., Bomans, P. H. H., Frederik, P. M., et al. (2013) · Nature Communications · doi:10.1038/ncomms2490 · Cited by 821 · see citing works
Spin Entanglement Witness for Quantum Gravity
Bose, S., Mazumdar, A., Morley, G. W., Ulbricht, H., Toroš, M., Paternostro, M., Geraci, A. A., Barker, P. F., Kim, M. S., & Milburn, G. J. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.240401 · Cited by 813 · see citing works
Mostafazadeh, A. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1489072 · Cited by 788 · 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
Marletto, C., & Vedral, V. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.240402 · Cited by 715 · see citing works
Using coherence to enhance function in chemical and biophysical systems
Scholes, G. D., Fleming, G. R., Chen, L. X., Aspuru-Guzik, A., Buchleitner, A., Coker, D. F., Engel, G. S., van Grondelle, R., Ishizaki, A., Jonas, D. M., et al. (2017) · Nature · doi:10.1038/nature21425 · Cited by 668 · see citing works
Orchestrated reduction of quantum coherence in brain microtubules: a model for consciousness
Hameroff, S., & Penrose, R. (1996) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(96)80476-9 · Cited by 641 · see citing works
Biorthogonal quantum mechanics
Brody, D. C. (2014) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/47/3/035305 · Cited by 573 · see citing works
Nonperturbative decay of an atomic system in a cavity
Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.2290 · Cited by 518 · see citing works
Converting Coherence to Quantum Correlations
Ma, J., Yadin, B., Girolami, D., Vedral, V., & Gu, M. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.160407 · Cited by 413 · 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
(1996) · Journal of Consciousness Studies · Cited by 385 · 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
Quantum coherence in multipartite systems
Yao, Y., Xiao, X. M., Ge, L., & Sun, C. (2015) · Physical Review A · doi:10.1103/physreva.92.022112 · Cited by 368 · see citing works
Spontaneous and induced atomic decay in photonic band structures
Kofman, A. G., Kurizki, G., & Sherman, B. (1994) · Journal of Modern Optics · doi:10.1080/09500349414550381 · Cited by 324 · see citing works
Superradiance in molecular aggregates
Spano, F. C., & Mukamel, S. (1989) · The Journal of Chemical Physics · doi:10.1063/1.457174 · Cited by 292 · see citing works
Markovian master equations for quantum thermal machines: Local versus global approach
Hofer, P. P., Perarnau-Llobet, M., Miranda, L. D. M., Haack, G., Silva, R., Brask, J. B., & Brunner, N. (2017) · New Journal of Physics · doi:10.1088/1367-2630/aa964f · Cited by 272 · see citing works
Quantum cognition: The possibility of processing with nuclear spins in the brain
Fisher, M. P. A. (2015) · Annals of Physics · doi:10.1016/j.aop.2015.08.020 · Cited by 259 · see citing works
Information processing in microtubules
Hameroff, S. R., & Watt, R. C. (1982) · Journal of Theoretical Biology · doi:10.1016/0022-5193(82)90137-0 · Cited by 217 · see citing works
(1994) · Journal of Consciousness Studies · Cited by 216 · see citing works
A field theory of consciousness.
John, E. R. (2001) · Consciousness and Cognition · doi:10.1006/ccog.2001.0508 · Cited by 214 · see citing works
Quantum optical coherence in cytoskeletal microtubules: implications for brain function
Jibu, M., Hagan, S. L., Hameroff, S. R., Pribram, K. H., & Yasue, K. (1994) · Biosystems · doi:10.1016/0303-2647(94)90043-4 · Cited by 207 · see citing works
Markovian master equations for quantum thermal machines: local versus global approach
Hofer, P., Perarnau-Llobet, M., Miranda, L. D. M., Haack, G., Silva, R., Brask, J., & Brunner, N. (2017) · Archive ouverte UNIGE (University of Geneva) · Cited by 206 · see citing works
Conduction pathways in microtubules, biological quantum computation, and consciousness
Hameroff, S. R., Nip, A. M. L., Porter, M., & Tuszyński, J. A. (2002) · Biosystems · doi:10.1016/s0303-2647(01)00183-6 · Cited by 198 · see citing works
The origins of quantum biology
McFadden, J., & Al-Khalili, J. (2018) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2018.0674 · Cited by 192 · see citing works
Decay of an atom coupled strongly to a reservoir
Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.4636 · Cited by 188 · see citing works
Optimal state pairs for non-Markovian quantum dynamics
Wißmann, S., Karlsson, A., Laine, E.-M., Piilo, J., & Breuer, H.-P. (2012) · Physical Review A · doi:10.1103/physreva.86.062108 · Cited by 179 · see citing works
Unified view of quantum correlations and quantum coherence
Tan, K. C., Kwon, H., Park, C.-Y., & Jeong, H. (2016) · Physical Review A · doi:10.1103/physreva.94.022329 · Cited by 170 · see citing works
Cattaneo, M., Giorgi, G. L., Maniscalco, S., & Zambrini, R. (2019) · New Journal of Physics · doi:10.1088/1367-2630/ab54ac · Cited by 169 · cited 2× · see citing works
“In the dressed picture, the separate baths acting locally on each buffer spins become global baths [102, 103] acting collectively on the dressed buffer spins.”
Macroscopic coherence of a single exciton state in an organic quantum wire
Dubin, F., Melet, R., Barisien, T., Grousson, R., Legrand, L., Schott, M., & Voliotis, V. (2005) · Nature Physics · doi:10.1038/nphys196 · Cited by 167 · see citing works
DISSIPATION AND MEMORY CAPACITY IN THE QUANTUM BRAIN MODEL
Vitiello, G. (1995) · International Journal of Modern Physics B · doi:10.1142/s0217979295000380 · Cited by 167 · see citing works
Tests for consciousness in humans and beyond
Bayne, T., Seth, A. K., Massimini, M., Shepherd, J., Cleeremans, A., Fleming, S. M., Malach, R., Mattingley, J. B., Menon, D. K., Owen, A. M., et al. (2024) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2024.01.010 · Cited by 163 · cited 1× · see citing works
“There are quite a few terms, such as mind [6–8], consciousness [9, 10], and instincts, pertaining to the brain or what goes on inside it, that are not accurately defined because we do not have the appropriate tools yet to gauge them [11], and hence to understand them from a physical perspective.”
Underground test of gravity-related wave function collapse
Donadi, S., Piscicchia, K., Curceanu, C., Diósi, L., Laubenstein, M., & Bassi, A. (2021) · Nature Physics · doi:10.1038/s41567-020-1008-4 · Cited by 160 · see citing works
Optimal control of a qubit coupled to a non-Markovian environment
Rebentrost, P., Serban, I., Schulte-Herbrüggen, T., & Wilhelm, F. K. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.090401 · Cited by 152 · see citing works
Photon Localization and Dicke Superradiance in Atomic Gases
Akkermans, É., Gero, A., & Kaiser, R. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.103602 · Cited by 151 · see citing works
Integrating information in the brain's EM field: the cemi field theory of consciousness
McFadden, J. (2020) · Neuroscience of Consciousness · doi:10.1093/nc/niaa016 · Cited by 148 · see citing works
Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.-A., & Garraway, B. M. (2009) · Physical Review A · doi:10.1103/physreva.80.012104 · Cited by 141 · see citing works
Resource Theory of Superposition
Theurer, T., Killoran, N., Egloff, D., & Plenio, M. B. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.230401 · Cited by 140 · see citing works
Perturbative treatment of inter-site couplings in the local description of open quantum networks
Trushechkin, A. S., & Volovich, I. V. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/113/30005 · Cited by 137 · see citing works
Radiative decay and energy transfer in molecular aggregates: The role of intermolecular dephasing
Grad, J., Hernández, G., & Mukamel, S. (1988) · Physical Review A · doi:10.1103/physreva.37.3835 · Cited by 121 · see citing works
Is the Brain a Quantum Computer?
Litt, A., Eliasmith, C., Kroon, F. W., Weinstein, S., & Thagard, P. R. (2006) · Cognitive Science · doi:10.1207/s15516709cog0000_59 · Cited by 121 · see citing works
(1995) · Journal of Consciousness Studies · Cited by 111 · see citing works
The feasibility of coherent energy transfer in microtubules.
Craddock, T. J. A., Friesen, D., Mane, J., Hameroff, S., & Tuszynski, J. A. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0677 · Cited by 111 · see citing works
Penrose, R. (1996) · doi:10.1093/oso/9780195106466.001.0001 · Cited by 110 · see citing works
The brain is both neurocomputer and quantum computer
Hameroff, S. R. (2007) · Cognitive Science · doi:10.1080/03640210701704004 · Cited by 103 · see citing works
Cooperativity in light scattering by cold atoms
Bienaimé, T., Bachelard, R., Piovella, N., & Kaiser, R. (2012) · Fortschritte der Physik · doi:10.1002/prop.201200089 · Cited by 102 · see citing works
Jibu, M., Pribram, K. H., & Yasue, K. (1996) · International Journal of Modern Physics B · doi:10.1142/s0217979296000805 · Cited by 94 · see citing works
Ultraviolet superradiance from mega-networks of tryptophan in biological architectures
Babcock, N. S., Montes-Cabrera, G., Oberhofer, K. E., Chergui, M., Celardo, G. L., & Kurian, P. (2024) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.3c07936 · Cited by 93 · see citing works
Anesthetics Act in Quantum Channels in Brain Microtubules to Prevent Consciousness
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
Electronic energy migration in microtubules
Kalra, A. P., Benny, A., Travis, S. M., Zizzi, E. A., Morales-Sanchez, A., Oblinsky, D. G., Craddock, T. J. A., Hameroff, S. R., MacIver, M. B., Tuszyński, J. A., et al. (2023) · ACS Central Science · doi:10.1021/acscentsci.2c01114 · Cited by 80 · see citing works
Effects of electromagnetic fields on neuronal ion channels: A systematic review
Bertagna, F., Lewis, R., Silva, S. R. P., McFadden, J., & Jeevaratnam, K. (2021) · Annals of the New York Academy of Sciences · doi:10.1111/nyas.14597 · Cited by 63 · see citing works
Physics of mind: Experimental confirmations of theoretical predictions
Schoeller, F., PERLOVSKY, L. I., & Arseniev, D. G. (2018) · Physics of Life Reviews · doi:10.1016/j.plrev.2017.11.021 · Cited by 62 · see citing works
Wavefunction collapse as a real gravitational effect
PENROSE, R. (2000) · Mathematical Physics 2000 · doi:10.1142/9781848160224_0013 · Cited by 61 · see citing works
A discussion of the mind-brain problem
Popper, K. R., Lindahl, B. I. B., & �rhem, P. (1993) · Metamedicine · doi:10.1007/bf00997274 · Cited by 57 · see citing works
On the existence of superradiant excitonic states in microtubules
Celardo, G. L., Angeli, M., Craddock, T. J. A., & Kurian, P. (2019) · New Journal of Physics · doi:10.1088/1367-2630/aaf839 · Cited by 56 · see citing works
The CEMI Field Theory: Closing the loop
McFadden, J. (2013) · Surrey Research Insight Open Access (The University of Surrey) · Cited by 52 · see citing works
Two coupled qubits interacting with a thermal bath: A comparative study of different models
Deçordi, G. L., & Vidiella-Barranco, A. (2017) · Optics Communications · doi:10.1016/j.optcom.2016.10.017 · Cited by 47 · see citing works
A new spin on neural processing: quantum cognition.
Weingarten, C. P., Doraiswamy, P. M., & Fisher, M. P. A. (2016) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2016.00541 · Cited by 47 · see citing works
Mind as a Force Field: Comments on a New Interactionistic Hypothesis
Lindahl, B. I. B., & Århem, P. (1994) · Journal of Theoretical Biology · doi:10.1006/jtbi.1994.1217 · Cited by 44 · see citing works
Consciousness and Quantum Mechanics
(2022) · doi:10.1093/oso/9780197501665.001.0001 · Cited by 43 · see citing works
Black holes, quantum theory and cosmology
Penrose, R. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/174/1/012001 · Cited by 42 · see citing works
Minimal quantum heat manager boosted by bath spectral filtering
Naseem, M. T., Misra, A., Müstecaplioğlu, Ö. E., & Kurizki, G. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.033285 · Cited by 39 · see citing works
A grand unified theory for the unification of physics, life, information and cognition (mind)
Swenson, R. (2023) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2022.0277 · Cited by 35 · see citing works
Libet, B. (1996) · Journal of Theoretical Biology · doi:10.1006/jtbi.1996.0019 · Cited by 34 · see citing works
Phosphates form spectroscopically dark state assemblies in common aqueous solutions
Straub, J. S., Nowotarski, M. S., Lu, J., Sheth, T., Jiao, S., Fisher, M. P. A., Shell, M. S., Helgeson, M. E., Jerschow, A., & Han, S. (2023) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2206765120 · Cited by 33 · see citing works
PERLOVSKY, L. I. (2016) · Frontiers in Systems Neuroscience · doi:10.3389/fnsys.2016.00084 · Cited by 29 · see citing works
Ground-state cooling of mechanical resonators by quantum reservoir engineering
Naseem, M. T., & Müstecaplıoğlu, Ö. E. (2021) · Communications Physics · doi:10.1038/s42005-021-00599-z · Cited by 29 · see citing works
McFadden, J. (2023) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2022.1024934 · Cited by 27 · cited 1× · see citing works
“Despite being based on a solid conceptual foundation, the CEMI field theory has not garnered the attention it warrants in the literature [79].”
Quantum information in the Posner model of quantum cognition
Halpern, N. Y., & Crosson, E. (2018) · Annals of Physics · doi:10.1016/j.aop.2018.11.016 · Cited by 27 · see citing works
Holographic Brain Theory: Super-Radiance, Memory Capacity and Control Theory
Nishiyama, A., Tanaka, S., Tuszyński, J. A., & Tsenkova, R. N. (2024) · International Journal of Molecular Sciences · doi:10.3390/ijms25042399 · Cited by 23 · see citing works
The critique of quantum mind: measurement,consciousness, delayed choice, and lost coherence
Zheltikov, A. M. (2017) · Physics-Uspekhi · doi:10.3367/ufne.2017.06.038155 · Cited by 20 · see citing works
Patwa, H., Babcock, N. S., & Kurian, P. (2024) · Frontiers in Physics · doi:10.3389/fphy.2024.1387271 · Cited by 20 · see citing works
Adenylate kinase derived ATP shapes respiration and calcium storage of isolated mitochondria
Deline, M. L., Grashei, M., van Heijster, F. H. A., Schilling, F., Straub, J., & Fromme, T. (2021) · Biochimica et Biophysica Acta (BBA) - Bioenergetics · doi:10.1016/j.bbabio.2021.148409 · Cited by 17 · see citing works
Dynamics of quantum correlations in a qubit-qutrit spin system under random telegraph noise
Benabdallah, F., Zad, H. A., Mohammed Daoud, A., & Ananikian, N. S. (2021) · Physica Scripta · doi:10.1088/1402-4896/ac3c5c · Cited by 16 · see citing works
Non-Markovian effects on the performance of a quantum Otto refrigerator
Allati, A. E., Anouz, K. E., Chakour, M. H. B. A., & Al-Kuwari, S. M. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.129316 · Cited by 16 · see citing works
The CEMI Field Theory Gestalt Information and the Meaning of Meaning
McFadden, J. (2013) · Surrey Research Insight Open Access (The University of Surrey) · Cited by 14 · see citing works
Quantum Theory and the Nature of Consciousness
Görnitz, T. (2017) · Foundations of Science · doi:10.1007/s10699-017-9536-9 · Cited by 14 · see citing works
McFadden, J. (2021) · NeuroSci · doi:10.3390/neurosci2030021 · Cited by 13 · see citing works
On the Role of the Microtubules in Cognitive Brain Functions
Craddock, T. J. A., & Tuszyński, J. A. (2007) · NeuroQuantology · doi:10.14704/nq.2007.5.1.116 · Cited by 10 · see citing works
Quantum Coherence in (Brain) Microtubules and Efficient Energy and Information Transport
Mavromatos, N. E. (2011) · Journal of Physics Conference Series · doi:10.1088/1742-6596/329/1/012026 · Cited by 10 · see citing works
Quantum dynamics of a qubit coupled with a structured bath
Huang, P., & Zheng, H. (2008) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/20/39/395233 · Cited by 10 · see citing works
Player, T. C., & Hore, P. J. (2018) · Journal of The Royal Society Interface · doi:10.1098/rsif.2018.0494 · Cited by 10 · see citing works
Stochasticity and Quantum Chaos
Haba, Z., Cegła, W., & Jakóbczyk, L. (1995) · Springer eBooks · doi:10.1007/978-94-011-0169-1 · Cited by 9 · see citing works
The Biological Qubit: Calcium Phosphate Dimers, Not Trimers
Agarwal, S., Kattnig, D. R., Aiello, C. D., & Banerjee, A. (2023) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.2c03945 · Cited by 9 · see citing works
Deline, M. L., Straub, J., Patel, M., Subba, P., Grashei, M., van Heijster, F. H. A., Pirkwieser, P., Somoza, V., Livingstone, J. D., Beazely, M., et al. (2023) · Frontiers in Physiology · doi:10.3389/fphys.2023.1200119 · Cited by 8 · see citing works
McFadden, J. (2023) · Entropy · doi:10.3390/e25121635 · Cited by 8 · see citing works
Geometrical optimization of spin clusters for the preservation of quantum coherence
Gassab, L., Pusuluk, O., & Müstecaplıoğlu, Ö. E. (2024) · Physical Review A · doi:10.1103/physreva.109.012424 · Cited by 8 · see citing works
Self-citationThe Physics of Mind and Thought
Josephson, B. D. (2019) · PhilPapers (PhilPapers Foundation) · Cited by 7 · see citing works
Mathematical Modeling of Consciousness for Unifying Causation, Relativity and Quantum Mechanics
Samarawickrama, M. (2024) · Journal of Physics Conference Series · doi:10.1088/1742-6596/2701/1/012051 · Cited by 7 · see citing works
Quantum filter for a non-Markovian single qubit system
Xue, S., James, M. R., Shabani, A., Ugrinovskii, V., & Petersen, I. R. (2015) · 2015 IEEE Conference on Control Applications (CCA) · doi:10.1109/cca.2015.7320609 · Cited by 6 · see citing works
A testable theory of mind-brain interaction
Libet, B. (1994) · Journal of Consciousness Studies · Cited by 6 · see citing works
Quantum spin models for numerosity perception
Yago Malo, J., Cicchini, G. M., Morrone, M. C., & Chiofalo, M. L. (2023) · PLOS ONE · doi:10.1371/journal.pone.0284610 · Cited by 5 · see citing works
McFadden, J. (2023) · Preprints.org · doi:10.20944/preprints202308.0731.v1 · Cited by 5 · see citing works
The Mind-Body Problem: An Overview of Proposed Solutions
Galadí, J. A. (2023) · Logic, argumentation & reasoning · doi:10.1007/978-3-031-46742-4_13 · Cited by 5 · see citing works
The Physics of Mind and Thought
Josephson, B. D. (2019) · Activitas Nervosa Superior · doi:10.1007/s41470-019-00049-w · Cited by 4 · see citing works
Electron delocalization in aromaticity as a superposition phenomenonPreprint
Yecsiller, M. H., & Pusuluk, O. (2023) · arXiv (Cornell University) · doi:10.48550/arxiv.2307.00672 · Cited by 4 · see citing works
Self-citationEmergence of correlated proton tunnelling in water ice
Pusuluk, O., Farrow, T., Deliduman, C., et al. (2019) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2018.0867 · Cited by 3 · see citing works
Self-citationQuantum brain theory and the appearing of world
Globus, G. G. (2017) · Journal of Integrative Neuroscience · doi:10.3233/jin-170065 · Cited by 2 · see citing works
Conscious Experience and Quantum Consciousness Theory: Theories, Causation, and Identity
Suojanen, M. (2019) · E-LOGOS · doi:10.18267/j.e-logos.465 · Cited by 2 · see citing works
Probing modified gravity with entanglement of microspheres
Kumar, A., Lim, Y.-K., Arumugam, P., et al. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.l101501 · Cited by 2 · see citing works
Steady-state entanglement generation via Casimir-Polder interactions
Izadyari, M., Pusuluk, O., Sinha, K., & Müstecaplıoğlu, Ö. E. (2025) · Scientific Reports · doi:10.1038/s41598-025-21067-6 · Cited by 2 · see citing works
Self-citationQuantum Measurement by Quantum Brain
Jibu, M., & Yasue, K. (1995) · Springer eBooks · doi:10.1007/978-94-011-0169-1_17 · Cited by 1 · see citing works
15. Quantum Brain Dynamics and Quantum Field Theory
Jibu, M., & Yasue, K. (2004) · Advances in consciousness research · doi:10.1075/aicr.58.16jib
Flagged first, then by citations
Research works printed but not linked: 9
- Jackson, P.T. (2016). Quantum Mind and Social Science: Unifying Physical and Social Ontology, Cambridge University Press.
- Pribram, K.H. (2013). Brain and Perception: Holonomy and Structure in Figural Processing, Psychology Press.
- McFadden, 2002, Synchronous firing and its influence on the brain’s electromagnetic field, J. Conscious. Stud., 9, 23
- McFadden, 2002, The conscious electromagnetic information (Cemi) field theory, J. Conscious. Stud., 9, 45
- Hameroff, S.R. (1987). Ultimate Computing: Biomolecular Consciouness and Nano Technology, Elsevier Science Inc.
- Pusuluk, O. (2024). Biorthogonal resource theory of genuine quantum superposition. arXiv.
- Pockett, 2012, The electromagnetic field theory of consciousness: A testable hypothesis about the characteristics of conscious as opposed to non-conscious fields, J. Conscious. Stud., 19, 191
- Adams, B., Sinayskiy, I., Agarwal, S., and Petruccione, F. (2023). Entanglement and coherence in pure and doped Posner molecules. arXiv.
- Breuer, H.P., and Petruccione, F. (2002). The Theory of Open Quantum Systems, Oxford University Press on Demand.
Cited by
Sorted by citations
Quantum-Inspired and Non-Classical Approaches to Consciousness: Models, Evidence and Constraints
Arias-Carrión, O., Ortega-Robles, E., & Manjarrez, E. (2026) · Brain Sciences · doi:10.3390/brainsci16040386 · Cited by 1 · see citing works
“The development of the Quantum-Multilinear Integrated Coefficient (Q) [21] or the Posner model [22] provides a mathematically principled measure for quantifying variance aligned with entanglement-structured task design.”
- Authors
- Gassab, L., Pusuluk, O., Cattaneo, M., & Müstecaplıoğlu, Ö. E.
- Affiliations
- Koç University (TR)
- Kadir Has University (TR)
- University of Helsinki (FI)
- Sabancı Üniversitesi (TR)
- Corresponding author
- Gassab, Lea
- Pusuluk, Onur
- Venue
- Entropy
- Publisher
- MDPI AG
- Published
- 2025-02-26
- Volume
- 27
- Issue
- 3
- Pages
- 243
- ISSN
- 1099-4300 (ISSN-L)
- PMC
- PMC11941443
- OpenAlex
- W4407997277
- Semantic Scholar
- 6e13a515cd1311b7ded7f9b1d87213a36f78ac23
- Cited by
- 14
- References
- 113
- Citations by year
- 2026: 12 · 2025: 2
- FWCI
- 14.58
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Entropy (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Sabanci University (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Työväentutkimus Vuosikirja (submittedVersion)
- arXiv (Cornell University)
- Funders
- Scientific and Technological Research Council of Türkiye (TÜBITAK) (123F150, 336810, 358878, PID2022-140506NB-C21)
- Research Council of Finland (123F150, 336810, 358878, PID2022-140506NB-C21)
- Finnish Quantum Flagship (123F150, 336810, 358878, PID2022-140506NB-C21)
- MCIN/AEI/10.13039/501100011033 (123F150, 336810, 358878, PID2022-140506NB-C21)
- Topics
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Philosophy and Theoretical Science
- Health Sciences › Medicine › Physiology › Biofield Effects and Biophysics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Posner molecules, entanglement preservation, neurotransmitter interactions, quantum consciousness, brain function
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-10.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-10.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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