Thank you very much OceanBreeze! May the force be with you.. =)
For those who are familiar with Klein-Gordon PDE, below is an enhanced version. The density function on the left is Laplace Distribution for the stable particle balls. The graph on the right is the wave propagating on this particle ball, from a little perturbation at particle ball center. Klein-Gordon could create negative wave value, while the proposed wave-particle PDE explains how to eliminate that.
It is a framework that includes (1) 1st order diffusion, (2) 2nd order wave-diffusion, (3) Newtonian compatible, (4) Relativity compatible system. People might immediately think Newtonian physics don't agree with Special Relativity. But they actually do --- if we assume away time, and only view time as an index based off energy or spatial changes.
Dear Buffy, if you don't mind, here is the link again, https://bizquant.blogspot.com/. I have two "Finite Difference PDE excel sheets" for download there, and a few pages to describe details. I am more than happy to discuss Q&A here. I assure everyone (even though I have no credibility here.. ha) that there is no virus and there's no commercial ads. I just hope I can find a 2nd person to understand what I am saying to either point out my stupidity or spread it out to change how people think!
For those who are familiar with financial system based off diffusion, here are two graphs. The daily density function is much closer to Laplace distribution, with the same thickness of the tails that Gaussian distribution can not explain. And what would be a better way to explain economic cycle other than a Wave-Particle system?
Edited by bizquant, 17 May 2017 - 06:45 PM.