Financial market – interdisciplinary formation. Ideas from different disciplines: fractal geometry chaos theory theory of self-organization (synergetics) economics physics functional analysis group theory heuristics ... could be combined together in order to build full market axiomatics and create fundamental solutions. Obsoletes: mathematical statistics efficient market hypothesis time series moving averages fractal dimension volumes discreteness of Fibonacci levels linear indicators ... Attractors (from dynamic chaos): points (fractal begin/end - static/dynamic indicators) curves (price retracement level, price limit - dynamic indicators) shapes (fractal boundaries - static indicators) pull and push the price. So it is possible to have statistical advantage in trading. Fractal in theory (Mandelbrot set): Fractal in practice (recent EUR/USD chart): Fractal – hierarchical self-similar structure (some sort of market rebalancing). All fractals have different shape but the same formula. They could be generated by each other (crossed, moving in the same direction) or separated/sequential (as a rule: moving in inverse direction). Any indexes/crosses have the same fundamental rules. It is possible to determine fractal end without delay. All algorithms require starting point as the main (and almost single) parameter (so there is no need to guess). Chaos theory makes no predictions. Multifractal expansion forecast could be performed by the combination of group theory and quantum mechanics.
mr collapse, Could you run a multifractal analysis on a 10m eur-201908-globex contract when you get a chance for time relevent? thx
Charts contain millions of fractals. It makes sense to calculate all of them only for HFT. For the time being I'm performing analysis manually. And that requires some effort.
Recent EUR/USD chart (bifurcation point): Price limit (dynamic indicators): "Long" has statistical advantage.
Did you just come from a 3blue1brown video? This is written like a 13 year old discovering Neil Degrasse Tyson and suddenly thinking they understand some of the most complex mathematical concepts on the planet. It gets better because you claim to be seeking to render obsolete mathematical statistics yet in the next breath you are talking about using quantum mechanics which is applied mathematical statistics. This is hilarious. Thank you for this OP - please post more.