Berlin 2005 – scientific programme

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AKSOE: Physik sozio-ökonomischer Systeme

AKSOE 10: Social, Information and Production Networks I

AKSOE 10.5: Talk

Tuesday, March 8, 2005, 12:00–12:30, TU P-N203

Social Networks of Money analyzed with Feynman-Graphs — •Dieter Braun — Noether Group on Dissipative Biosystems, Applied Physics, LMU München, Amalienstr. 54, D-80799 München

Social networks are created by transfer of goods which are memorized in the asset-liability nomenclature of double entry bookkeeping. These social webbings can be analyzed with a revealing analogy based on that positive momentum mimics asset, negative momentum liability [1-4]. From this axiom, it follows that particle pair creation stands for money creation, force for profit and energy for the quantity of money. Bookkeeping - like quantum mechanics - implements conservation of momentum, but no strict conservation of energy. Feynman-graphs decompose monetary networks into their axiomatic asset-liability pair creations/annihilations. We find:

(i) Economies under random transfer suffer information overload under a diverging quantity of money [3].

(ii) They converge under transfers from a concave potential. The wealth distribution is given by a Boltzmann law [3].

(iii) Bank bookkeeping should implement a system of two independent currencies for debit and credit.

(iv) Tunneling metastable transfer potentials can lead to catastrophic wealth concentration.

[1] Physica A 324:266-271 (2003)

[2] Physica A 290:491-500 (2001)

[3] Physica A 321:605-618 (2003)

[4] www.bookkeepingmechanics.com