Conics, (q+1)-Arcs, Pencil Concept of Time and Psychopathology

dc.creatorSaniga, Metod
dc.date2003-01-02
dc.date.accessioned2026-07-07T04:54:13Z
dc.date.available2026-07-07T04:54:13Z
dc.descriptionIt is demonstrated that in the (projective plane over) Galois fields GF(q) with q=2^n and n>2 (n being a positive integer) we can define, in addition to the temporal dimensions generated by pencils of conics, also time coordinates represented by aggregates of (q+1)-arcs that are not conics. The case is illustrated by a (self-dual) pencil of conics endowed with two singular conics of which one represents a double real line and the other is a real line pair. Although this pencil does not generate the ordinary (i.e., featuring the past, present and future) arrow of time over GF(2^n), there does exist a pencil-related family of (q+1)-arcs, not conics, that closely resembles such an arrow. Some psycho(patho)logical justifications of this finding are presented, based on the "peculiar/anomalous" experiences of time by a couple of schizophrenic patients.
dc.description4 pages, no figures, LaTeX, to appear in Frontier Perspectives
dc.identifierhttps://arxiv.org/abs/math/0301009
dc.identifierhttp://arxiv.org/abs/math/0301009
dc.identifierFrontier Perspectives 12/2 (2003) 9-11
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66164
dc.subjectAlgebraic Geometry
dc.titleConics, (q+1)-Arcs, Pencil Concept of Time and Psychopathology
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