Emergent quantum mechanics of finances
arXiv:1312.3247 · doi:10.1016/j.physa.2014.02.037
Abstract
This paper is an attempt at understanding the quantum-like dynamics of financial markets in terms of non-differentiable price-time continuum having fractal properties. The main steps of this development are the statistical scaling, the non-differentiability hypothesis, and the equations of motion entailed by this hypothesis. From perspective of the proposed theory the dynamics of S&P500 index are analyzed.
9 pages, 3 figures