# Kullervo Rainio

## A general stochastic description of processes; an interdisciplinary approach

### Abstract

The stochastic field theory of behavior, published by the author (1986), is
here enlarged and applied to quantum mechanics, to quantum jumps, particularly.
- An event, generally, is treated as a transition from a discrete state to another.
The time variable is assumed to be discrete, too. The actualization of a system
at a point in time is determined by a state vector y, a stochastic vector describing
the probabilities of all possible state alternatives. The change of the state
vector in one step in time is determined by a transition probability matrix.

The cognitive processes are described structurally in the same way but in a
particular cognitive space and in cognitive time. In problem solving, the cognitive
process is treated as a simulation of the real problem situation.

The probabilities determining the cognitive process are - unlike the probabilities
of quantum jumps - conditional in many complex ways, caused by memory and expectations.
Thus, the empirical testing of the model is possible by very simplified laboratory
experiments only. An example of this is given in Chapter 4 and in Appendix 7.

In Chapter 6, it is shown how the given model could be seen as a modernization
of Kurt Lewins classical topological psychology.

In Chapter 7, the relation between the consciousness and the physical reality
is discussed epistemologically.

**Keywords**: quantum mechanics, quantum jump, cognition, state vector,
transition probability, stochastic process, learning, field, valence, group
problem, Kurt Lewin.