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Pencils of conics: a means towards a deeper understanding of the arrow of time?

✍ Scribed by Metod Saniga


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
813 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis


The paper aims at giving a sufficiently complex description of the theory of pencil-generated temporal dimensions in a projective plane over reals. The exposition starts with a succinct outline of the mathematical formalism and goes on with introducing the definitions of pencil-time and pencil-space, both at the abstract (projective) and concrete (affine) levels. The structural properties of all possible types of temporal arrows are analyzed and, based on symmetry principles, the uniqueness of that mimicking best the reality is justified. A profound connection between the character of different 'ordinary' arrows and the number of spatial dimensions is revealed. ~


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