Martin Erik Horn: Pauli Algebras in Economics: Economathematics from Geometry to Didactics and back
Short talk (in English) at the Spring Meeting of the German Physical Society (Physics of Socio-Economic Systems Division) in Berlin at Tuesday, March 13, 2018, Technical University of Berlin, Room MA 001, 10:45
Abstract: 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 4pi periodicities are an elementary part of our world, and to describe this world, the mathematics of 4pi periodicities – and thus Pauli algebras – are required.
Geometry also links the algebra to the physics of socio-economical systems. Consequently the mathematics of 4pi 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.
Source: Email from M.E. Horn, 02 Mar. 2018, e_hornm_AT_doz.hwr-berlin.de