In this book, a theory is developped, which aims at an explanation of the mental abilities of the human brain, within a context that shows "the unity of the brain".This does not mean there is one principle that allows to explain everything - which would contradict the diversity of the brain. The main tools are the concepts of fundamental theories in algebra and topology.The basic assumption is, that the mental achievements of the brain show up mainly in communication and that this finds its expression particularly in the formal sciences: mathematics and physics, as a result of scientific communication. The methods of mathematics and physics are psychological principles.In this way, psycholology is put into a formal framework and connected with the exact sciences. As a consequence, there is an analogy to physics and qantummechanical principles. One important point is the definition of psychological space (instead of common 3-space), which allows in particular to formulate structurel differences between the "subjective inside world" and the objective "outside world".>