Sunday, December 17, 2017

Lagrange approximation and ohysics

The while thing started when I inadvertently approximated a 3/2 finite log system with exponentials of Phi.  Suddenly, at some exponential index of Phi I get the very accurate match to an exponential of 3/2.    At the match I could see all that numerical combinations that make up the proton to electron ratio, simply proving that quantum  physics is a combinatorial issue. 

But the exercise also gives the window sizes, they are the indices.  It was in index space that all the integer multiples who up.  So lagrange theory is about indices and widow sizes. The most irrational number is one in which a larger window always cancels and repeatability from a smaller.  Unlike Pi, there is no window size that is more accurate than any larger.

That is how we prove the Lagrange theory. We show that any irrational will have slightly more repeatability than Phi. So one can always find the best remainder match using the Ohi remainders. which hold the most variation.


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