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Dual spaces, particle singularities and quartic geometry

Rowlands, Peter (2015) Dual spaces, particle singularities and quartic geometry. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (1). pp. 121-137. ISSN 0866-0174

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Abstract

Relativistic quantum mechanics and the properties of Dirac fermions can be generated in a particularly powerful way using two vector spaces which are commutative to each other and which contain identical information. The apparently broken symmetry between the two spaces observed through the quadratic geometry of ordinary space becomes a perfect and unbroken symmetry in the quartic geometry which defines the single physical quantity through which the two spaces can be combined.

Item Type: Article
Uncontrolled Keywords: Dual vector spaces, nilpotent quantum mechanics, vacuum space, fermion singularity, H4 algebra
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 06 Feb 2024 10:46
Last Modified: 06 Feb 2024 10:46
URI: http://real.mtak.hu/id/eprint/187666

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