Herleitung von Skalarprodukten aus Symmetrieprinzipien

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dc.creatorSoergel, Wolfgang
dc.date2008-06-25
dc.date.accessioned2026-07-07T10:05:56Z
dc.date.available2026-07-07T10:05:56Z
dc.descriptionThis is an attempt to model ambient space as a three-dimensional real affine space with a distinguished group of automorphisms containing the translations and acting freely and transitively on pairs consisting of a half-plane together with a half-line on its boundary. From there the existence of an invariant scalar product is deduced, which then also implies Pythagoras theorem in a quite precise form. This is in contrast to the usual procedure to model ambient space by asking for a distinguished scalar product and using Pythagoras theorem as known from high school to connect with reality.
dc.identifierhttps://arxiv.org/abs/0806.4052
dc.identifierhttp://arxiv.org/abs/0806.4052
dc.identifierMath Semesterber (2008) 55: 197-202
dc.identifierdoi:10.1007/s00591-008-0041-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170160
dc.subjectHistory and Overview
dc.subject51-01
dc.titleHerleitung von Skalarprodukten aus Symmetrieprinzipien
dc.typetext

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