The Model of the Theory of the Quantum Brain Dynamics can be cast on the Heisenberg Spin Hamiltonian

贝叶斯还是海森堡：谁（的）规则？

Bayes or Heisenberg: Who(se) Rules?

本文证明量子测量过程可重构为概率方程，并可用张量大脑模型的神经网络动力学近似，该模型为大脑感知记忆提供生物启发式符号整合机制。

Comment on ``Symplectic quantization, inequivalent quantum theories, and Heisenberg's principle of uncertainty''

In Phys. Rev. A 70, 032104 (2004), M. Montesinos and G. F. Torres del Castillo consider various symplectic structures on the classical phase space of the two-dimensional isotropic harmonic oscillator. Using Dirac's quantization condition, the authors investigate how these alternative symplectic forms affect this system's quantization. They claim that these symplectic structures result in mutually inequivalent quantum theories. In fact, we show here that there exists a unitary map between the two representation spaces so that the various quantizations are equivalent.

Is Brain-Mind Quantum? A theory and supporting evidence

We propose a non-substance dualism theory, following Heisenberg: The world consists of both ontologically real possibilities that do not obey Aristotle's Law of the Excluded Middle, and ontologically real Actuals that do o0bey the Law of the Excluded Middle. This quantum approach solves five issues in quantum mechanics and numerous puzzles about the mind-brain relationship. It raises the possibility that some aspects of mind are non-local, and that mind plays an active role in the physical world. We present supporting evidence.

统一量子与经典动力学

Unifying Quantum and Classical Dynamics

本文通过展示量子与经典动力学方程的等价性，提出两者由相同方程支配，海森堡算子取代经典可观测量。

A Non-critical String (Liouville) Approach to Brain Microtubules: State Vector reduction, Memory coding and Capacity

Microtubule (MT) networks, subneural paracrystalline cytosceletal structures, seem to play a fundamental role in the neurons. We cast here the complicated MT dynamics in the form of a $1+1$-dimensional non-critical string theory, thus enabling us to provide a consistent quantum treatment of MTs, including enviromental {\em friction} effects. Quantum space-time effects, as described by non-critical string theory, trigger then an {\em organized collapse} of the coherent states down to a specific or {\em conscious state}. The whole process we estimate to take ${\cal O}(1\,{\rm sec})$. The {\em mi…

Quantum Mechanics in Phase Space

Ever since Werner Heisenberg's 1927 paper on uncertainty, there has been considerable hesitancy in simultaneously considering positions and momenta in quantum contexts, since these are incompatible observables. But this persistent discomfort with addressing positions and momenta jointly in the quantum world is not really warranted, as was first fully appreciated by Hilbrand Groenewold and José Moyal in the 1940s. While the formalism for quantum mechanics in phase space was wholly cast at that time, it was not completely understood nor widely known --- much less generally accepted --- until the…