On the geometries of planes and the states of particles

A. Schober

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 200-205

Abstract: Propositional calculus is used to interpret projective planes as spaces of states. For finite planes the 3 lowest lying octets (baryonic, antibaryonic, mesonic) are fitted, together with 64 standard strong vertices, in the smallest exceptional non-Desarguesian plane. In the infinite case, the lines in a Euclidean plane were redefined and so some spatial symmetry appeared as a broken symmetry. This may be interpreted as a hadronic medium in the sense of Santilli.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:200-205

DOI: 10.1016/0378-4371(82)90283-7

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