InterJournal Complex Systems, 103
Status: Rejected
Manuscript Number: [103]
Submission Date: 971010
EXPLORING THE FRONTIER OF PSYCHODYNAMICAL SPACE-TIME: A Glimpse Using Einstein's Nonlinear Tensor Dynamics and Turing's Patterning
Author(s): Prasun K. Roy ,Robert E. Shaw

Subject(s): CX.41, CX.28, CX.32, CX.11, CX.03, CX.08, CX.20

Category: Report


Einstein's equation G = kT specifies an open nonlinear system wherein inertial forces derived from mass tells space-time how to curve and the curvature (gravitational forces also derived from mass) tells masses how to move (geodetically). Similar geometrodynamical influences and effects have been shown, both experimentally and clinically, to occur in perceptual and other psychological processes as a function of biological controls. Here the structure (curvature) and function (stress) of the psychological space-time is explored using Einstein's nonlinear tensor dynamics and a tensor derived from Turing's morpho-dynamics of patterning. This approach requires treating psychological space-time as an open system where mass fluxes (change in level of neurotransmitter molecules, e.g., serotonin), treated as stress tensor components, create deformations of experienced curvature of patterns as perceived, recalled, or imagined (Shepard, 1984). There is abundant evidence for these psychological space-time curvature effects as induced perceptually by external changes in patterns (e.g., optical "illusions") or as induced psychopharmacolgically by internal changes in states of arousal. The latter internal field deformations are also found to be indicative of certain psychoses. To express these internal space-time geometrodynamical effects, we develop the concept of a counterpart, internal field equation to Einstein's for external space-time: namely, G = kT (Einstein's equation) and H = k'T (psychodynamic equation) A Mahalanobis-Bose radius is defined for the space-time of dreams (230-260 m. for adults). Recognizing the generality of Abraham's program (Abraham, 1985), we suggest extending the nonlinear geometrodynamical approach as follows: Geometrodynamics->Morphodynamics->Neurodynamics-Psychodynamics

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