Saturday, October 27, 2012

Demand curve and de Broglie wavefunction


Demand curve and the de Broglie wave function
This entry has been hanging over me for sometime, and that I never published earlier was because I never thought I had it quite right, or it never felt complete. Though those feelings have not changed, I have (now) decided to publish what I have, intending that my theory will kindle interest and discussion to further develop it. What really is a demand curve anyway? Do they really exist? The reality maybe that they are not a real physical, tangible object, but instead show the possibilities of goods and services in terms of price and quantity; as with quantum theory, to produce such a curve invokes the ‘measurement’ problem. It is as if the demand curve is a superposition of all the possible outcomes, just as in quantum mechanics.

My hypothesis:
The de Broglie wave function and the (consumer) demand function and corresponding curve, are both different manifestations of the same thing.
This theory has been developed from my work on the fractal, and culminates my discoveries and insights from the fractal.

Until now, in this blog, I have been attempting to decipher the fractal, and early on suggested that the downward sloping demand curve is derived from an understanding of the fractal development.  See my early entries:
Later I posited that the fractal, when isolated, or in a state of ceteris paribus, resembles – what I think to be by no coincidence – the characteristics of quantum mechanics, super-position etc, and have suggested – based on fractal mechanics – that they are one and the same. As if to say: to understand quantum, is to understand the fractal, and visa verse.
It follows, that if this is all so, then the demand curve is also (directly) related to quantum mechanics –
If so, how? It is not so clear, but here is what I have.