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Of course! Coupling of the Oscillators is the underlying mechanism of Spontaneous Synchronization. I did not say it's weird, I said it's simple and self evident; that is why it is so important. Phase coupling is the key!

I know you might have seen this, but please watch it again! Important! http://www.youtube.com/watch?v=Aaxw4zbULMs

Let’s view all the traders currently involved in trading of a security as oscillators. They will “oscillate” between “BUY” and “SELL” with a certain frequency and with certain market timing that I will call “PHASE”. The term “sync” is short for “synchrony” or...

Now, how do we correlate Randomization and Randomness? One way to do so is through Spontaneous Synchronization! The next step is to discuss this phenomenon in depth. It might answer lots of questions posted in this thread earlier.

Uncertainty is an inherent factor in any real-life action, in particular one that relies on the information gained from sensors (trading data) and manipulations performed by actuators (traders). One way to cope with uncertainty is RANDOMIZATION – introducing random selection into the decision...

Argument #3 The summary of deterministic argument: “Randomness does not exist. It only describes our inability to embrace the complexity of the universe. By knowing at a given moment every particle position and speed, we could simply foresee the future.” Let’s assume that we...

I agree. I am preparing the next set of arguments and simply need some more time. Also, being hang over does not help! :D Cheers, MAESTRO P.S. No, it wasn't rhetorical question. I will explain later.

3^3 is powerful indeed! Did you know that all of the prime numbers belong to a set that could be described as 6N +/- 1 ?

A very important thought! The reason why it is so important is because of the "repetitiveness" quality. There is a very little chance that a combination of factors in the future will be identical to what we observed in the past. I do not want to put the words in your mouth (because I might be...

I would like to disagree, if I may. I think it is beneficial (at least for me) to have a place to express my ideas and create a fruitful discussion that may (or may not) spark a thought that I missed in the process of my research by being too close to the subject! I hope you, guys share this...

An excellent tangent! We shall explore it!

Thank you so much!!!! It was a nice evening! I took my wife to a nice place and we talked about our 27 years and everything we went through! It was perfect! I am a bit hang over today though, oh well .... :D

We shall continue tomorrow. Today is my 27 th anniversary with my wife (could it be that long?????); need to get some flowers! Cheers, MAESTRO

If you continue to read this thread I will attempt to explain why it is crucial and very beneficial to accept and utilize the RANDOMNESS as the model. It actually leads to establishing of much stronger patterns that thought possible! P.S. Thank you for chiming in! I always enjoyed your posts...

Yes, but the existence of stable patterns does not at all contradicts the total randomness! As I pointed out earlier, it is the relationship between individual molecules behavior and their combined characteristic such as gas pressure in an enclosed vessel. Pressure is stable and very predictable...

I see your point. You probably have in mind a time sequence where I was referring to a property that is determined by the infinite number of outcomes of infinite number of simultaneous (parallel) processes. I probably need to work a bit more on the definition as it clearly allows for veriaty...

Yes, but not all of its outcomes. That is the point. There are some systems that could be well defined through their initial conditions, however, if they present infinite complexity of outcomes there is no set of descriptors with finite complexity that could adequately present them. I hope I was...

You are too kind, as usual. Here is the first shot at the definition. RANDOMNESS is a universal property of matter that manifests it self through the sequence of changes in its observed characteristics that could not be described through any given set of definitions of limited complexity.

Good to see you again! Great points! However, I think that it might be useful to agree on what RANDOMNESS is first before we go too far in analyzing its characteristics (or lack of). Don't you agree? I will try to come up with my own definition and will put it for discussion. I think it might...

Thank you. let me think though this. I now see another degree of your point of view which is very interesting. Thank you for sharing. This is definitely a food for thought. Clearly, I need to do some more reading. Interesting thought, I have to admit.