70 research outputs found
Geometry of Time and Dimensionality of Space
One of the most distinguished features of our algebraic geometrical, pencil concept of space-time is the fact that spatial dimensions and time stand, as far as their intrinsic structure is concerned, on completely different footings: the former being represented by pencils of lines, the latter by a pencil of conics. As a consequence, we argue that even at the classical (macroscopic) level there exists a much more intricate and profound coupling between space and time than that dictated by (general) relativity theory. It is surmised that this coupling can be furnished by so-called Cremona (or birational) transformations between two projective spaces of three dimensions, being fully embodied in the structure of configurations of their fundamental elements. We review properties of some of the simplest Cremona transformations and show that the corresponding "fundamental" space-times exhibit an intimate connection between the extrinsic geometry of time dimension and the dimensionality of space. Moreover, these Cremonian space-times seem to provide us with a promising conceptual basis for the possible reconciliation between two extreme concepts of (space-)time, viz. physical and psychological. Some speculative remarks in this respect are made
Comparison of Self-Rated and Observer-Rated Scales in DSM-III Borderline Personality Disorder
The Inpatient Treatment of the Borderline Personality Disorder: A Critical Review and Discussion of Aftercare Implications
The Will to Succeed—and The Capacity to Do So: a Review Essay on the Power of Positive Identifications
Present Without Past: The Disruption of Temporal Integration in a Case of Transsexuality
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