[1] Though sadly this hasn’t prevented the publication of books making precisely this assertion [27].
[2] By functional, I mean that task performance would measurably degrade with the removal of hypothesised quantum resources under in vivo physiological conditions.
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[9] C. D. Treiber  et al., Nature 484, 367 (2012)
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[11] N. Christensson  et al., J. Phys. Chem. B 116, 7449 (2012).
[12] V. Tiwari, W. K. Peters, and D. M. Jonas, Electronic resonance with anticorrelated pigment vibrations drives photosynthetic energy transfer outside the adiabatic framework, PNAS 110, 1203 (2013)
[13] H.-G. Duan et al., Nature does not rely on long-lived electronic quantum coherence for photosynthetic energy transfer, PNAS 114, 8493 (2017)
[14] E. Zerah Harush and Y. Dubi, Do photosynthetic complexes use quantum coherence to increase their efficiency? Probably not, Science Advances 7, eabc4631 (2021).
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[16] One might argue that these fields won’t interfere with electronic coherence, but we’ve already seen that electronic entanglement has no functional effect in proteins, let alone the brain.
[17] N. Wiener, Cybernetics: Or Control and Communication in the Animal and the Machine (MIT Press, 1948)
[18] C. Baldassi, C. Borgs, J. T. Chayes, A. Ingrosso, C. Lucibello, L. Saglietti, and R. Zecchina, PNAS 113, E7655 (2016)
[19] A. Vaswani et al, Attention is all you need, NEURIPS (2017)
[20] K. Friston, The free energy principle made simpler but not too simple, Physics Reports 1039, 1 (2023) 
[21] J. M. Horowitz and J. L. England, Spontaneous fine-tuning to environment in many-species chemical reaction networks, PNAS 114, 7565 (2017).
[22] L. Appeltant et al, Nature Communications 2, 468 (2011).
[23] D. Brunner, M. C. Soriano, C. R. Mirasso, and I. Fischer, Nature Communications 4, 1364 (2013).
[24] G. Tanaka et al, Neural Networks 115, 100 (2019).
[25] G. McCaul et al, Chaos 35, 093135 (2025)
[26] I. Mezic, Spectral properties of dynamical systems, the Koopman operator and applications, Nonlinear Dynamics 41, 309 (2005).
[27] E. Haven and A. Khrennikov, Quantum Social Science (Cambridge University Press, 2013)