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Propeller Head Plaza Technical and scientific discussion of amps, cables and other topics. |
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Propeller Head Plaza Technical and scientific discussion of amps, cables and other topics. |
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In Reply to: RE: Thanks for pointing that out. posted by Ugly on January 28, 2010 at 10:37:05:
I knew Maxwell's equations were based on several assumptions. Most of them was about keeping everything in a vacuum or assume a perfect linear dielectric and homogeneous throughout. But I never knew it was 20 equations distilled down to those 4 "unification theory" equations.
Einstein was no idiot, and if you understand his theories completely, he too knew that his theory was simplified with the same assumptions. This gets passed on but sometimes lost that it was with assumptions.
In computer modeling we do the same stuff all the time using those equations. HFSS is based solely on Maxwell's equations in the 4-equation form. If you read the fine print, it says some things are not accounted for, such as dielectric nonlinearity and others.
Quantum physics is being refined all the time as everything there is known to be based on incomplete models and sometimes the answer is just wrong and unusable.
Science is like watching a picture fill in over time, blocky at first and then more pixel definition later. We start using an application based on the trivial knowledge first, then the more complex details added as necessary or when computing power allows.
When you get to a real grand unification theory, it will have many assumptions about the environment spelled out. To make a simple formula requires throwing out distracting cases.
This is why the subject of Modern Science is mainly about modeling on a computer and observing simulation results more often than not. And it rarely applies to the tiny things like different wire, as they are too low in a modern pareto chart of all the important things.
-Kurt
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