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Archive for September 2011

Arithmetic is inconsistent? That explains that!

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New day – new sensation. Edward Nelson is working on a proof of inconsistency of Arithmetic .

This calls for a new explanation of the faster than light neutrinos: the speed was calculated in an inconsistent framework.


Written by bbzippo

09/28/2011 at 10:47 pm

Posted in Uncategorized

Superluminal neutrinos, jokes aside

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It has been a lot of fun following the reactions to the OPERA release https://twitter.com/#!/search?q=%23mundaneneutrinoexplanations

Update: People come here searching for “neutrino jokes”. So in addition to the above twitter link, may I recommend some fun anagrams: fast neutrinos – “sensation turf”, “a funniest sort”,   and more.

The funniest thing to me is that this is an experimental discovery with an extraordinarily high level of statistical certainty (6 sigma!). But people joke about it. Even the media hype is unusually tactful. I am too very skeptical about the result, but I decided to take the time and do the homework.

I now understand some details of the experiment setup, and realize that there are some erroneous claims in the media. Please keep in mind that I have no formal training in physics whatsoever

I read the official paper by the OPERA collaboration http://static.arxiv.org/pdf/1109.4897.pdf . Parts of it are surprisingly accessible to a layperson like me. I didn’t understand many things. The major things that I didn’t understand are: 1) how exactly GPS was used, and 2) why they averaged the data for all the sessions (“spills”) in their analysis – couldn’t this lead to a loss of potentially significant information? (more on this below).

Btw, I mentioned the OPERA experiment before: https://bbzippo.wordpress.com/2010/06/02/neutrino-oscillation-directly-observed/ and mentioned that Neutrino is an anagram of “inner out”

Now, my “findings”:

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Written by bbzippo

09/27/2011 at 4:42 am

Posted in Uncategorized

Obvious identity

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Marquis de Laplace said that those to whom this identity is not obvious are clueless in math:

\int_{-\infty}^{\infty} e^{-x^2}dx=\sqrt{\pi}

Seriously, come on:

\int\int e^{-y^2}e^{-x^2}dx dy = \int_0^{\infty} e^{-r^2} 2\pi r dr =\pi\int_0^{\infty}e^{-r^2}d(r^2)=\pi

(just testing latex notation)

Another try

\int \limits_{-\infty}^{+\infty}\int \limits_{-\infty}^{+\infty}e^{-(x^2+y^2)}dxdy=\int \limits_0^{2{\pi}}\int \limits_0^{+\infty} e^{-r^2}rdr d \varphi =\pi \int \limits_0^{+\infty} e^{-r^2}d(r^2)=\pi

Written by bbzippo

09/19/2011 at 6:58 am

Posted in math