Abstract
This chapter introduces quantum mechanics and neuroquantology in an attempt to explain advanced brain capabilities such as common sense, truth judgment, intuition, and artistic appraisal. A distinction is drawn between the Copenhagen and the Heisenberg interpretations of quantum theory with reference to theories of consciousness. The nonlocal nature of quantum particles is discussed, including that electrons may appear in ion channels and affect the waveforms of neural pulses, and that electrons may tunnel between synapses to synchronize neural pulses.
Quantum computational theories within a neuron are explored, including the possibility of quantum computations within the tubulin molecules that constitute microtubules. Of interest in this regard are four requirements for a quantum computer: (1) there must be a quantum system, (2) initialization of the system must be possible, (3) quantum information within the system must be appropriately transformable, and (4) useful information must be available to the outside world.
Although too important to ignore, not everyone is convinced that quantum computations occur within neurons in the manners so far considered, as brought out below. As an alternative, we consider molecular structures within a neuron that support simulated qubits, since these do not require a quantum system. Yet they have computational possibilities because of their potential for controlled toggling and probabilistic logic.
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Notes
- 1.
ARM9, a 32-bit Reduced Instruction Set Computer (RISC) or Central Processing Unit (CPU), is useful for smaller conventional computers in mobile phones, robots, tablets, mobile phones, digital media and music players, handheld game consoles, calculators, and computer peripherals such as hard drives and routers.
- 2.
Schrödinger, a pioneer of quantum mechanics, contributed an equation which in one dimension is \( i {\eta} \displaystyle\frac{{\partial \psi }}{{\partial t}}=-\frac{{{\eta^2}}}{{2\mu }}\frac{{{\partial^2}\psi }}{{\partial {x^2}}}+V(x)\psi, \)
where ψ(x, t) is a probability wave function that depends on time t; V(x) is a potential field; and all else are given constants [11].
- 3.
Probability of quantum penetration of stray electrons with energy 2 eV going through 1 nm of membrane barrier presenting a potential barrier of 5 eV is about 10−10. Because electrons are so numerous, this is more than enough to build up significant amounts of charge.
- 4.
Two entangled qubits may have a state vector that looks like \( | \boldsymbol{ \uppsi} > =\upeta (| \mathbf{0} > |\mathbf{0} > +| \mathbf{1} > | \mathbf{1} > )^{\prime}\). If one qubit is observed to be one, for example, then the other will be forced to be a one when it is observed, no matter where it is located. But if the first is observed to be zero, the other will be forced to be zero when it is observed. Note that a coherent quantum system is necessary. Teleportation is a nonlocal quantum property.
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Burger, J.R. (2013). Neuroquantology, the Ultimate Quest. In: Brain Theory From A Circuits And Systems Perspective. Springer Series in Cognitive and Neural Systems, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6412-9_9
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