Abstract
Our main aim is to prove a more general version of the quantum Zeno effect. Then we discuss some examples of the quantum Zeno effect. Furthermore, we discuss a possibility that based on the quantum Zeno effect and certain experiments one could check whether, from the statistical point of view, a concrete system behaves like a quantum system. The more general version of quantum Zeno effect can be helpful to prove that the brain acts like in a quantum system. The proof of our main result is based on certain formulas describing probability distributions of time series related to quantum measurements.
Highlights
According to Zeno that implies that the arrow cannot move under continuous observation
We discuss a possibility that based on the quantum Zeno effect and certain experiments one could check whether, from the statistical point of view, a concrete system behaves like a quantum system
The more general version of quantum Zeno effect can be helpful to prove that the brain acts like in a quantum system
Summary
According to Zeno that implies that the arrow cannot move under continuous observation. A general theory of the quantum Zeno effect should contain the Turing model as a special case. A number of physicists have argued in support of special models in which the rules of standard quantum mechanics are modified by the inclusion of some additional procedure according to which the reduction of the state becomes an objectively real process (objective reduction)—the system abruptly self-collapses. Like sequences of measurements that process suppresses a certain unitary time evolution in the brain.
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