[x3d-public] Global Illumination for looking a the stock market (you can do the Black-Sholes for illumination if you like).

[John Carlson]

This email happened because I noticed heat mentioned in both stock market equations and radiosity equations.

https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_model :

• Heat equation, to which the Black–Scholes PDE can be transformed

https://en.wikipedia.org/wiki/Heat_equation

The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.

https://en.wikipedia.org/wiki/Radiosity_(radiometry)

In radiometry, radiosity is the radiant flux leaving (emitted, reflected and transmitted by) a surface per unit area, and spectral radiosity is the radiosity of a surface per unit frequency or wavelength, depending on whether the spectrum is taken as a function of frequency or of wavelength.[1] 

https://en.wikipedia.org/wiki/Radiosity_(computer_graphics)


Radiosity methods were first developed in about 1950 in the engineering field of heat transfer. They were later refined specifically for the problem of rendering computer graphics in 1984 by researchers at Cornell University[2] and Hiroshima University.[3]


So the question becomes, what solutions can we use from 3D graphics apply to the stock market…Can we visualize the “radiant flux” or radiosity of a stock (emitted (lost or gained stock value), reflected (transmitted to another equity or currency) and transmitted (?) stock values).   It seems like emitted light causes light patches, thus a part of the stock market will heat up or cool off (distribution of heat), whereas reflected light means part of the stock market will transfer heat (or light) through a stock to impact another stock.


Heat equation is current values and radiant flux is animation of heat maybe?

I graduated in 1986, before SIGGRAPH 1986. But I did study radiosity in graduate classes.

John

Thus we come to: https://en.wikipedia.org/wiki/Rendering_equation and how its various implementations can solve the electromagnetic (light, heat) equation and thus Black-Scholes and the stock market.  How can we create objects in a room whose electro-magnetic values  simulate the stock market?

Michael Corley, if you can combine global illumination and Black-Scholes into a single model, you will get that PhD, I bet, maybe even a Nobel Prize in Economics *and* Physics. There’s still a lot we don’t know about rendering light (see rendering equation limitations).

It seems to me like something like the Rendering equation (the integral of all light impacting this point from points, plus the points that are impacted by this point) could be very useful for the stock market, if not already used. One nice thing about radiosity is that you don’t have to recompute if you switch views.  But the matrices used in Radiosity can be huge! Think of the whole stock market reflecting on the whole stock market.

It seems like I should be studying the Standard Model of Physics and making the Standard Model of Computer Graphics, the Standard Model of the Stock Market, from the SMP.

So if you wanted to compute how much of the stock market will transfer between two stocks or currency (for the whole stock market) study flux (radiosity).  I don’t know how to study individual photons yet, I don’t think, but it would be interesting.

Well that’s enough BSing for today.
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