A systems-tensorial interpretation of psychomedical concepts

The multidimensional environments providing the stimuli for normal and abnormal human behavior have been characterized by a variety of environmental tensors, the time rates of change of which yield quantitative measures of various aspects of environmental dynamics. A general response tensor is introduced to describe the behavior of living organisms to any desired degree of complexity. Tensor measures of such psychiatric concepts as reactivity, adaptability, responsiveness, instinctiveness and suggestibility are mathematically defined in terms of the response and environment tensors. Based on clinical and experimental observations, postulates are then made regarding the dynamic relationships between the external responses and the internal drives of the self-system at different levels of consciousness. Lemmas and theorems are deduced pertaining to behavioral and environmental interactions in a psychomedical context, and a nonlinear mechanism for stochastically learned behavior patterns is proposed.