[EM] Incompleteness theorem, special relativity, STV.

[Richard Lung]

Incompleteness theorem, special relativity, STV.



Albert Einstein valued classical deterministic physics because it seemed 
to offer completeness of explanation. I mention this to link 
completeness with determinism. This was why he ultimately objected, to 
statistical physics, precisely because it did not offer completeness of 
explanation. True, statistics is deterministic, but it is incompletely 
deterministic, allowing for margins of error. Within the Kurt Godel 
incompleteness theorem, this opens up the possibility for statistics, as 
an incomplete determinism, to coexist with consistency in a scientific 
theory.

Special relativity was viewed as both a consistent and deterministic 
theory. But like the other two theories, of Brownian motion and the 
photoelectric effect, in the 1905 Einstein year of miracles, special 
relativity is a statistical theory. High-energy physics creates a 
geometric scale of motion, significantly approaching light speed, whose 
formulas are, in effect, geometric means.

Before special relativity, the Michelson-Morley experiment used the 
arithmetic mean to calculate ranges of relative motion to light speed. 
Had they used the geometric mean, their calculation would have agreed 
with the experimental null result. [When I wrote of this fact to a 
physicist, he vehemently censored this personal observation, as he never 
had seen it done that way, in any text book.]

Classical physics appears to be deterministic but it is really 
statistical. At classical speeds, not significantly approaching light 
speed, the geometric scale of motion disappears, leaving only an 
implicit average, to appear as a deterministic variable.

So, special relativity really upholds the incompleteness theorem, of 
statistics, considered as incomplete determinism, coexisting with 
consistency in a theory.

Likewise, Binomial STV is a consistent theory of a rational election 
count and a rational exclusion count, together with the incomplete 
determinism of statistical measurement of representation by averages.

Regards,

Richard Lung.


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