A Lie group topology for normal and abnormal human behavior

A Lie-topology of human behavior has been generated in terms of a group of continuous transformations in multidimensional reactivity-adaptability coordinates, connections between the conscious and unconscious surfaces being made through a finite number of interpretive parameters. Neuroses and personality disorders are mathematically classified in terms of pure rotation groups, while reactive depressions and reactive manias fall into the category of dilation groups. The distortions, exaggerations and multiply-fragmented behaviors characteristic of psychoses are explained and classified by combined rotation-dilation Lie groups that can include both real and imaginary parameters. Neurobiophysical implications of the Lie topology are mentioned in relation to abnormal reaction formations and behavioral complexes that may be environmental or organic in origin.