Quote from Corey:
First, pardon any of my ignorance. I may be misunderstanding your proposed system.
I think we should probably outline some of the assumptions of the system.
For example, at time 0, do we assume that the system is 'stable'? If so, at what point do we assume to be t=0? Choosing any arbitrary point in the market discounts all activity previous to that time as non-events. I suppose this could be done with relative confidence if you were able to determine 'turnover' for whatever market you are working in, and start t=0 as several 'turnover' cycles previous to the point you would like to evaluate.
Also, what does a more 'turbulent' or 'calm' liquid tell us about the market? Do we have buy volume as amplifying forces and sell volume as dampening volume? If not -- wouldn't this metric be a simple measure of current market volatility relative to some dampening constant?
What other sorts of objects can we think of the market as? Perhaps a ball on a table that is constantly changing its angle, determined by the length of the legs of the table (buy/sell volume)? Perhaps as a tug of war? Perhaps as a large ball of clay where buy volume 'hits' the ball, adding to its mass, where sell volume subtracts from the ball.
I have really appreciated your concepts on volatility measures. I think examining volume relative to the price movement it causes is very important...in fact, I would use this as my definition of momentum (mass being volume and velocity being price movement for the time period). Unfortunately, I don't like measuring in periods of time -- as far as I can tell, time adds an arbitrary degree of freedom that can be removed using data relative to ticks or volume. The only issue in this case would be that mass would have to be redefined...
I will end my ramblings here. Perhaps something in there makes sense....