Berlin 2018 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 9: Economic Models II

SOE 9.2: Talk

Tuesday, March 13, 2018, 10:45–11:00, MA 001

Pauli Algebras in Economics: Economathematics from Geometry to Didactics and back — •Martin Erik Horn — Berlin School of Economics and Law/HWR Berlin, FB 1 – Department of Business and Economics, FE Quantitative Methods

According to Hestenes, geometry links the algebra to the physical world. Therefore we start our journey with a closer analysis of the geometry of our world by questioning the Dirac belt trick: Obviously 4π periodicities are an elementary part of our world, and to describe this world, the mathematics of 4π periodicities – and thus Pauli algebras – are required.

Geometry also links the algebra to the physics of socio-economical systems. Consequently the mathematics of 4π periodicities – and thus Pauli algebras – can be applied to describe economic systems (for example in product engineering). A didactical approach to model such simple systems with Pauli algebras will be presented.

At the turning point of our journey we look back on an interesting economathematical picture: problems which might be solved by using linear algebra can equally effective and sometimes even in a much simpler way be solved with Pauli algebra or generalized Pauli algebras.