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On the Significance of the Internal Quasi‐Lorentz‐Group in Continuum Mechanics
Author(s) -
Leihkauf H.
Publication year - 1989
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19895010103
Subject(s) - geodesic , lorentz group , lorentz transformation , physics , classical mechanics , group (periodic table) , unitary state , continuum hypothesis , observer (physics) , continuum mechanics , theoretical physics , mathematics , mathematical analysis , quantum mechanics , political science , law
We give a short discussion of usual representation of geometric approach to modern continuum mechanics. As a consequence we propose a formulation of this theorie based on the internal quasi‐Lorentz‐group. The aim of our method is to get an unitary geometrisation of the theory of condensed structures. The result is: For an internal observer the theory of the real solid is the theory of totally geodesic three‐dimensional hypersurfaces in a genuin four‐dimensional non Riemannian “sound space time”.