# Measuring distances with insane precision

**URL:** <https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981>\
**Category:** Factual Questions\
**Created:** [February 12, 2016, 11:23pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981 "2016-02-12T23:23:01Z")\
**Posts on this page:** 10\
**Page:** 2

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**Author:** ![billfish678](https://avatars.discourse-cdn.com/v4/letter/b/7bcc69/32.png) [@billfish678](https://boards.straightdope.com/u/billfish678)\
**Post date:** [February 14, 2016, 9:40pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/21 "2016-02-14T21:40:52Z")

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> [@Dr.Strangelove](#):
>
> I’m having a hard time finding any official documents on whether the two arms are set to the same number of wavelengths or not.
> 
> On one hand, **scr4** is right that if the coherence length is long compared to the arm length difference, it doesn’t matter too much. And the laser used by LIGO has a very long coherence indeed.
> 
> On the other hand, though, it would be relatively trivial for them to lock in a specific length. They already have an active, servo-controlled suspension system. They could use time-of-flight or multi-frequency coherence to dial in a specific number of wavelengths.
> 
> [This guy](http://physics.stackexchange.com/a/236083) on Stack Exchange seems to think they don’t bother, since there are larger sources of measurement error around. Googling his name, it seems that he does work for LIGO (there are papers in his name).

I think a more meaningful way of putting of what I was trying to get across (and thanks to both of you for your more useful and specific contributions) would be the following statement:

The precision that the two arms need to made equal to each other is much (much much?) greater than the length of the “distortion” (or change in the length of the) that the whole system is capable of measuring.

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [February 15, 2016, 1:09am UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/22 "2016-02-15T01:09:50Z")

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One of the detectors also has (or had; they might have removed it with the latest set of upgrades) a second set of mirrors halfway down the arms. They can also do runs where one long leg is compared to one short one. It’s not as sensitive that way, but can be done for testing the equipment. So no, the two arms don’t have to be even close to equal.

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**Author:** ![BwanaBob](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bwanabob/32/2985_2.png) [@BwanaBob](https://boards.straightdope.com/u/BwanaBob)\
**Post date:** [February 15, 2016, 12:51pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/23 "2016-02-15T12:51:46Z")

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I though the key to this was that there are multiple experiment setups running simultaneously. One setup shows activity, ok, maybe we didn’t isolate it enough from the environment and we’re being fooled. But multiple setups showing the same result…winner.

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**Author:** ![jtur88](https://avatars.discourse-cdn.com/v4/letter/j/e9c0ed/32.png) [@jtur88](https://boards.straightdope.com/u/jtur88)\
**Post date:** [February 15, 2016, 1:16pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/24 "2016-02-15T13:16:03Z")

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Slightly onto a tangent, human body temperature in America is an example of “insane precision”. The normal body temperature was defined as a range of values that rounded off to 37° Celsius. Exactly 37° C converts to 98.6° Fahrenheit, which implies accuracy to within 1/20 of a degree Celsius, which was never intended nor implied by the rounded off number. But American moms presume 98.6° to be a value of three significant digits, and consider a temperature of 98.7° to be "a little high"and indicative of a possible disorder enough to keep their kids home from school swallowing aspirins… In fact, any Fahrenheit temperature from 97.7° to 99.5° will round off to 37° C, and is therefore medically defined as “normal”

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**Author:** ![USCDiver](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/uscdiver/32/354_2.png) [@USCDiver](https://boards.straightdope.com/u/USCDiver)\
**Post date:** [February 15, 2016, 3:45pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/25 "2016-02-15T15:45:53Z")

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jtur88, that’s not a slight tangent it’s completely irrelevant to the topic at hand.

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**Author:** ![jtur88](https://avatars.discourse-cdn.com/v4/letter/j/e9c0ed/32.png) [@jtur88](https://boards.straightdope.com/u/jtur88)\
**Post date:** [February 15, 2016, 5:36pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/26 "2016-02-15T17:36:19Z")

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> [@USCDiver](#):
>
> jtur88, that’s not a slight tangent it’s completely irrelevant to the topic at hand.

It relates to “insane precision”. Meaning precision that has no validity among "sane"users.

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**Author:** ![Dr.Strangelove](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/dr.strangelove/32/6613_2.png) [@Dr.Strangelove](https://boards.straightdope.com/u/Dr.Strangelove)\
**Post date:** [February 15, 2016, 11:28pm UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/27 "2016-02-15T23:28:09Z")

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> [@BwanaBob](#):
>
> One setup shows activity, ok, maybe we didn’t isolate it enough from the environment and we’re being fooled. But multiple setups showing the same result…winner.

They also have another, completely different strategy to ensure they aren’t fooled. There is a small team that deliberately injects false signals into the system. They only reveal themselves after the signal has been detected and verified by their internal processes.

It can be tempting for scientists to keep looking into the noise until they find a signal. You’ll always find something if you look hard enough into randomness, but that something is meaningless. But on the other hand, the signal here is buried in the noise and they’ll never find anything if they don’t use some means of filtering out the noise. This trick ensures that they look hard, but not too hard, and that their processes are capable of giving the expected result with a known input.

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [February 16, 2016, 2:14am UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/28 "2016-02-16T02:14:45Z")

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**BwanaBob** , that is in fact _one_ key, and probably the biggest single one. But there are so many potential noise sources for an instrument like this, that even if you see something at both sites at once, the most likely explanation is that they both just happened to have some random noise at the same time.

You could do multiple passes this way with even more instruments, except that there are currently only two LIGO sites. There are a few similar instruments in other countries, and they do look at the data from those, too, but none of them are as good as LIGO, so it doesn’t really help much. There have been proposals to build a third LIGO in some other country (most likely Australia), and that would probably be the best bang for the buck for improving the data (a third one wouldn’t cost nearly as much as the first two, because all of the R&D has already been done), but the international aspect makes it politically difficult: The NSF is reluctant to spend money outside of the US, and while the host country could also contribute some share, that then means that you’ve got two different governments you need to beg from.

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**Author:** ![scr4](https://avatars.discourse-cdn.com/v4/letter/s/59ef9b/32.png) [@scr4](https://boards.straightdope.com/u/scr4)\
**Post date:** [February 16, 2016, 3:57am UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/29 "2016-02-16T03:57:19Z")

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> [@Chronos](#):
>
> You could do multiple passes this way with even more instruments, except that there are currently only two LIGO sites. There are a few similar instruments in other countries, and they do look at the data from those, too, but none of them are as good as LIGO, so it doesn’t really help much.

Isn’t the upgraded [VIRGO](https://en.m.wikipedia.org/wiki/Virgo_interferometer) interferometer similar to the LIGO performance? It’s supposed to start operations later this year, last I heard. And the Japanese KAGRA interferometer should surpass it in a couple more years.

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<div class="post-metadata">

**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [February 16, 2016, 4:08am UTC](https://boards.straightdope.com/t/measuring-distances-with-insane-precision/745981/30 "2016-02-16T04:08:30Z")

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None of them are as good as LIGO, like I said. Some of them might well be as good in the not-too-distant future. But they aren’t yet.

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