# Kullervo Rainio

## Quantum and Cognition

an Approach to Dynamic Psychology in a Quantum Framework

### Abstract

This monograph (Quantum and Cognition; an Approach to Dynamic Psychology in
a Quantum Framework) is based on a General Representation of Occurrences (GRO)
of systems. In that framework, both the space of the states of a system and
time variable are handled as discrete variables.Thus, we are able to describe
the transitions of a system from one state to another, using transition probabilities
for one step in time. Those probabilities form a stochastic transition matrix.
When this matrix method is used in quantum mechanics, the state vector Y1 (describing
a quantum state) for time point t+1 is a product of the earlier state vector
Y0 and the transition matrix.

The same method is applied to cognitive process, the main difference being
that a special learning reinforcement is now assumed in every case of transition.
That changes the transition matrix on every step. Also, when forming the initial
transition matrix, some special fields characterized by their attraction and
repulsion are assumed. Those fields determine the transition probabilities.

The framework of this kind is applied to some cases of cognitive problem solving.
- As an application to quantum mechanics, it is shown how to use the matrix
method to produce the interferences in superpositions. It is found that the
cognitive learning process which follows the Bush&Mosteller's model is mathematically
equivalent with superposition of two quantum states.

Finally, the perception and the thinking is studied in general terms using
this framework .

**Keywords**: cognitive process, cognition, dynamic psychology, field, interference,
Kurt Lewin, learning, matrix method, perception, problem solving, qualia, quantum,
quantum mechanics, quantum psychology, state vector, superposition, transition,
transition probabilities, valence.