Quote from SmoothTraderFX:
Simply put, Chess is Math and Market is not.
I don't agree as for market see
http://www.elitetrader.com/vb/showthread.php?threadid=24752
http://www.europhysicsnews.com/full/13/article5/article5.html
Plectics: The study of simplicity and complexity
Murray Gell-Mann, Santa Fe Institute, Santa Fe, USA [and Nobel Prize laureate]
The subject that I call plectics is the study of simplicity and complexity. At the Santa Fe Institute, which I helped to start, we deal to a great extent with matters of simplicity and complexity. I arrived at the name, plectics, in the following way. The word "complex" comes from plexus, originally meaning braided, and com-, meaning together, hence braided together. "Simple" comes in a similar way from roots meaning once folded; and the Latin words for "braided" and "folded" both owe their ultimate origin to the Indo-European root *plek-. In Greek, that root gives rise to plektos, meaning braided. So, in using the word plectics we are describing the subject of simplicity and complexity without committing ourselves as to whether we are talking about something simple (once folded) or something complex (braided together).
[...]
What do we mean by complexity and its opposite, simplicity? It would take a great many concepts, a great many quantities to capture all the various meanings implicit in our use of the word complexity. But there is one concept - what I call effective complexity - that represents most closely what we usually mean in everyday conversation and also in scientific discourse when we use the word. A non-technical definition of effective complexity would be the length of a highly compressed description of the regularities of the entity under consideration. Compression - the elimination of redundancy - is very important; otherwise the length of the message would be of very little concern to us.
[...]
Apparent and effective complexities
Take, for example, the energy levels of atomic nuclei. The rules for those energy levels look, at first sight, as if they are very complicated, but we now believe that they are obtained from a couple of simple physical theories: quantum electrodynamics (the quantum field theory of electromagnetic interactions) and quantum chromodynamics (the quantum field theory of quarks and gluons). We believe that if you put these two together you will get a description of atomic nuclei in great detail, including the positions of all their energy levels. But the computations are extremely long and difficult on our existing computers, using known methods, and most of them haven¹t even been done yet. So here is a case where we are looking at something apparently complex that has in fact low effective complexity, but a lot of logical depth. In other words, a short program is involved, but that program is associated with a very long computation time.
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Relating to the article above I affirm that the complexity of market is "APPARENT complexity" only and "LOW EFFECTIVE complexity" because information can be packed in a rather short string see my article pasted from
http://www.elitetrader.com/vb/showthread.php?s=&threadid=24706 (useful to read before "Can market follow some deterministic mathematical law ?"
http://www.econometric-wave.com/articles/1/home.html.html
)
Information packing, transcription and alternative splicing:
A biological cell is composed of proteins which are themselves
composed of amino-acids. Let's pretend that these proteins are the
analogs of the swings in market and amino-acids the analogs of waves
which subdivide a swing.
The cell doesn't contain the proteins at its birth but fabrics them.
For that it uses an information which is coded not
in the same form than proteins but in the form of DNA which is a
double string of paired bases of nucleotides.
By analogy, in our model, market somehow coded its information in a
double-string which is our base and projection lines
where each segment are the analogs of amino-acids composing the DNA,
and where each point are also paired like in DNA bases
- we call them "Duals" in our model. Moreover, for organisation
purpose, the DNA is not a floating chain,
it is folded by packing it into some proteins structures called
histones. In the same manner our model shows that
market waves are also condensed into a compact form that needs to be
unfolded to be used. This stage is called
transcription. This is done through the rules for interpreting our
model. This transcription is not unique: depending
on where the DNA is read this can give birth to different proteins
sequences: this is called alternative splicing. By analogy depending on where
the market
opens different market waves can be generated with the same static
structure revealed by the model.