BPCPPDYSOE21 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 3: Poster

SOE 3.8: Poster

Monday, March 22, 2021, 17:30–19:30, SOEp

Dirac Algebra Generalized Matrix Inverses — •Martin Erik Horn — IUBH - Internationale Hochschule, Campus Berlin

More and more introductory business mathematics textbooks present generalized matrix inverses as elementary part of the foundations of mathematical economics. Therefore Moore-Penrose generalized matrix inverses as the scalar part of Pauli Algebra generalized matrix inverses had been discussed at the DPG spring meeting 2018 of the Physics of Socio-economic Systems Division in Berlin in a geometric way.

As this geometry is based on the Euclidean structure of space, it is quite reasonable to ask, what happens if generalized matrix inverses are constructed in pseudo-Euclidean, hyperbolic spacetimes. This will be discussed in this poster presentation: Spacetime generalized matrix inverses are constructed as the scalar part of Dirac Algebra generalized matrix inverses. And again the algebraic reasoning of textbooks will be completed by analyzing the geometry it is based on.