Consequences of the Conjecture
April 9, 2010
While the Q.E.D. indicates that the author does not believe the previous post to be conjecture, it will almost certainly be viewed in such light for the foreseeable future. It is the author’s contention that the equation actually proves itself and no further proof is required. The words used in the equation have deep meaning that connect to very complex and deep concepts in fields that traditionally had small overlap; therefore very few researchers will find they are capable of wholly understanding the statement without further study. Regardless of if the statement can be considered conjecture or fact, there are vast and incredible implications if indeed true.
Building Marketplaces
The right side of the equation was the end result of a thought experiment on how to ideally structure an organizational marketplace. The equation would indicate that the modern understanding of marketplaces is flawed. Today there are opposing views of free economy versus directed economy, and while free economy has largely won this battle there are still directed portions of an economy in even the freest examples. An example would be the role the Federal Reserve plays in the United States’ economy. Those in favor of a directed economy often argue that free economies have market failures, where something valued by society in general would be unduly allocated because it is disproportionally valued by the individual actors.
The equation would contend that these failures result from a marketplace enabling individual organizations to form beyond the finite.
For a more detailed analysis please see: http://www.lind-i.com/Docs/GoalStruct.pdf
What is Artificial Intelligence?
As this ties into Artificial Intelligence, a quick walkthrough what this would mean in computer science is probably in order. What this says is that attempting to develop a single self-aware system is impossible, since it is through the free interaction of organizations of self-determined actors that AI arises. The interesting thing here is it does so naturally, and that through pure chaos there is a higher order of intelligence that the lower orders simply cannot comprehend. That would suggest there is already artificial intelligence in place on our vast networks, and that we simply cannot comprehend it.
To bring about a self-aware computer system we can comprehend is obviously a complex question; the equation would seem to suggest that we provide organization for function but create actors who operate in a self-determined manor. The actors would then “choose” their organizations and operate within then them, through nothing more than random “choices”, after all at a quantum level “random” and “self-determination” are probably synonymous. Whether this is actually possible is hard to say, it could be that the kind of intelligence we are dealing with here is just beyond our comprehension.
Applications in Physics
Assuming that the concept of Artificial Intelligence is NP-Complete, the right side of the equation permeates reality itself. At a quantum level particles have self-determination, which means this equation holds true in the world that we exist in. The end result of this line of thinking is that reality is numbers and numbers is reality: that the laws of nature are nothing more than non-finite data that we cannot easily comprehend.
This kind of sentiment bodes well for the fringe science of Burkhard Heim, who attempted to calculate the mass of the elementary particles using nothing but pure number-theory. While the theory is currently very much imperfect, this would suggest that the line of thinking is correct. See http://en.wikipedia.org/wiki/Heim_theory.
P = NP? Probably!
March 25, 2010
I’ve moved this to a Wikia page for easier reading: http://idealorg.wikia.com/wiki/Ideal_Organization_Theory_Wiki.