M.E. Horn: Pauli Algebras in Economics: Economathematics from Geometry to Didactics and back


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.

URL: www.dpg-verhandlungen.de/year/2018/conference/berlin/part/soe/session/9/contribution/2?lang=en

Source: Email from M.E. Horn, 02 Mar. 2018, e_hornm_AT_doz.hwr-berlin.de

Advertisements

5 Comments

Filed under conferences, lectures

5 responses to “M.E. Horn: Pauli Algebras in Economics: Economathematics from Geometry to Didactics and back

  1. dudasfu

    must accepted the Constraints Optimizations that appear observed prof drd horia orasanu and followed on surfaces

  2. gasadiu

    constraints

  3. ciopongu

    in these are considered important situations and many as[ects as observed in connection with these and prof drd horia orasanu that followed in case of CONSTRAINTS OPTIMIZATIONS and used geometry situation and specially problems accepted and observed by prof dr Constantin Udriste . Thus that we know the sides of a triangle – we can always use the Pythagorean Theorem backwards in order to determine if we have a right triangle, this is called the converse of the Pythagorean Theorem.
    Ifa2+b2=c2then△ABCisarighttriangle.
    When working with the Pythagorean theorem we will sometimes encounter whole specific numbers that always satisfy our equation – these are called a Pythagorean triple. One common Pythagorean triple is the 3-4-5 triangle where the sides are 3, 4 and 5 units long.
    There are some special right triangles that are good to know, the 45°-45°-90° triangle has always a hypotenuse √2 times the length of a leg. In a 30°-60°-90° triangle the length of the hypotenuse is always twice the length of the shorter leg and the length of the longer leg is always √3 times the length of the shorter leg.

    Pythagorean Theorem
    ‘An exceedingly well-informed report,’ said the General. ‘You have given yourself the trouble to go into matters thoroughly, I see. That is one of the secrets of success in life.’
    Anthony Powell
    The Kindly Ones, p. 51
    2nd Movement in A Dance to the Music of Time
    University of Chicago Press, 1995
    Professor R. Smullyan in his book 5000 B.C. and Other Philosophical Fantasies tells of an experiment he ran in one of his geometry classes. He drew a right triangle on the board with squares on the hypotenuse and legs and observed the fact the the square on the hypotenuse had a larger area than either of the other two squares.

  4. tahagu

    in these many appear as the Clifford geometry used and considered by prof dr mircea orasanu and prof drd horia orasanu as followed in MONGE Theory GALOIS Theory or CONSTRAINTS OPTIMIZATIONS also considered by prof dr Constantin Udriste in many thus situations

  5. biducu

    in these situations can be used the elementary geometries and other situations and as observed prof dr mircea orasanu and specially prof drd horia orasanu for followed CONSTRAINTS OPTIMIZATIONS important relations of prof dr Constantin Udriste theories in case of above the consequences of these and Adrien LEGENDRE OPTIMIZATIONS or MONGE developed

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s