从脑的经典场论看量子思维
Quantum Mind from a Classical Field Theory of the Brain
摘要：
我们认为，关于量子心理理论，大脑过程可以用经典的、耗散的、非阿贝尔的规范理论来描述。事实上，这样的理论由于其非阿贝尔特征而具有隐藏的量子性质，当理论简化为量子真空时，通过耗散来揭示，其中温度为绝对零度，并且量子态的相干性被保留。我们特别考虑了纯SU（2）规范理论的情况，它对规范场有一个特殊的anzatz，它破坏了Lorentz不变性。在这种情况下，一个压缩映射起着耗散的作用。在最大耗散的极限，这对应于压缩映射的吸引不动点，规范场减少，直到常数因子，泡利量子门的单量子比特状态。然后，微管量子比特可以在大脑的经典场论的量子真空中处理，由于温度极低，避免了退相干。最后，我们将经典SU（2）耗散规范理论解释为量子元语言（相对于量子比特的量子逻辑），它持有心灵的非算法方面。
英文摘要：
We suggest that, with regard to a theory of quantum mind, brain processes can be described by a classical, dissipative, non-abelian gauge theory. In fact, such a theory has a hidden quantum nature due to its non-abelian character, which is revealed through dissipation, when the theory reduces to a quantum vacuum, where temperatures are of the order of absolute zero, and coherence of quantum states is preserved. We consider in particular the case of pure SU(2) gauge theory with a special anzatz for the gauge field, which breaks Lorentz invariance. In the ansatz, a contraction mapping plays the role of dissipation. In the limit of maximal dissipation, which corresponds to the attractive fixed point of the contraction mapping, the gauge fields reduce, up to constant factors, to the Pauli quantum gates for one-qubit states. Then tubuline-qubits can be processed in the quantum vacuum of the classical field theory of the brain, where decoherence is avoided due to the extremely low temperature. Finally, we interpret the classical SU(2) dissipative gauge theory as the quantum metalanguage (relative to the quantum logic of qubits), which holds the non-algorithmic aspect of the mind.
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