Date: 11/11/2015 10:13:58
From: The Rev Dodgson
ID: 799646
Subject: Measuring distances accurately

In some science show on last night they said that in seeking evidence of gravity waves they were measuring distances of the order of km to a precision of 1/billionth the diameter of a proton.

Is that correct?

If so, how can they possibly do that?

If not, what precision do they work to?

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Date: 11/11/2015 10:19:43
From: The Rev Dodgson
ID: 799648
Subject: re: Measuring distances accurately

This:
http://labcit.ligo.caltech.edu/LIGO_web/about/brochure.html
says 1/1000, not 1/1000000000.

Maybe I misheard last night.

But even with 1000000 times less precision, the questions remain the same.

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Date: 11/11/2015 10:28:59
From: transition
ID: 799649
Subject: re: Measuring distances accurately

https://en.wikipedia.org/wiki/Gravitational-wave_observatory

https://en.wikipedia.org/wiki/LIGO

The Laser Interferometer Gravitational-Wave Observatory (LIGO) is a large-scale physics experiment aiming to directly detect gravitational waves. Cofounded in 1992 by Kip Thorne and Ronald Drever of Caltech and Rainer Weiss of MIT, LIGO is a joint project between scientists at MIT, Caltech, and many other colleges and universities. It is sponsored by the National Science Foundation (NSF). At the cost of $620 million, it is the largest and most ambitious project ever funded by the NSF.

Initial LIGO operations between 2002 and 2010 did not detect any gravitational waves. This was followed by a multi-year shutdown while the detectors were replaced by much improved “Advanced LIGO” versions. As of February 2015, two such advanced detectors (one in Livingston, Louisiana and the other in Hanford, Washington) have been brought into engineering mode. On September 18, 2015, Advanced LIGO became fully operational and began formal science operations at twice the sensitivity of the initial LIGO interferometers

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Date: 11/11/2015 11:51:05
From: Cymek
ID: 799668
Subject: re: Measuring distances accurately

If these detectors find nothing after many years of operation do we conclude gravity either don’t exist or are way beyond our current technogical levels to detect.

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Date: 11/11/2015 12:00:54
From: JudgeMental
ID: 799669
Subject: re: Measuring distances accurately

b. gravity waves are predicted by GR. we know GR has stood the test of time, even though it isn’t a complete theory of the universe, so we are pretty confident that gravity waves should exist.

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Date: 11/11/2015 12:07:56
From: The Rev Dodgson
ID: 799670
Subject: re: Measuring distances accurately

JudgeMental said:


b. gravity waves are predicted by GR. we know GR has stood the test of time, even though it isn’t a complete theory of the universe, so we are pretty confident that gravity waves should exist.

Not really. It is perfectly possible for simplified theories to give good matches to most observable quantities, but be way off in others, and thus require revision.

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Date: 11/11/2015 12:09:39
From: JudgeMental
ID: 799671
Subject: re: Measuring distances accurately

yeah, really.

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Date: 11/11/2015 12:33:55
From: The Rev Dodgson
ID: 799672
Subject: re: Measuring distances accurately

JudgeMental said:


yeah, really.

Care to tell us why, really?

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Date: 11/11/2015 12:38:00
From: JudgeMental
ID: 799673
Subject: re: Measuring distances accurately

because any new theory will include GR.

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Date: 11/11/2015 13:08:54
From: The Rev Dodgson
ID: 799684
Subject: re: Measuring distances accurately

JudgeMental said:


because any new theory will include GR.

Not necessarily. It may include something that is not GR, but gives the same results as GR in those areas where GR works; in exactly the same way that GR gives the same results as NG in many areas, but is not NG.

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Date: 11/11/2015 13:12:19
From: JudgeMental
ID: 799686
Subject: re: Measuring distances accurately

that will depend on how important gravity wave prediction is to gr. maybe if this new theory doesn’t predict them then some other part of gr would be incorrect. and that other part may be backed with evidence of being correct.

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Date: 11/11/2015 13:15:54
From: The Rev Dodgson
ID: 799687
Subject: re: Measuring distances accurately

JudgeMental said:


that will depend on how important gravity wave prediction is to gr. maybe if this new theory doesn’t predict them then some other part of gr would be incorrect. and that other part may be backed with evidence of being correct.

I don’t know what that means.

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Date: 11/11/2015 13:20:44
From: JudgeMental
ID: 799689
Subject: re: Measuring distances accurately

would gr stand up without gravity waves. or are they dependant on other predictions in gr. so, if no gravity waves then what other predictions of gr would be wrong. and, if other predictions would be wrong, are these currently supported by observation and thus lead to further problems.

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Date: 11/11/2015 13:26:50
From: The Rev Dodgson
ID: 799692
Subject: re: Measuring distances accurately

JudgeMental said:


would gr stand up without gravity waves. or are they dependant on other predictions in gr. so, if no gravity waves then what other predictions of gr would be wrong. and, if other predictions would be wrong, are these currently supported by observation and thus lead to further problems.

How can the existence or not of gravity waves affect how well the other predictions work?

If a prediction of GR matches observations to some level of precision, then it will continue to match observations to that precision, unless the observations are found to be wrong, or the mechanism by which gravity works changes. Either way, the discovery or not of gravity waves will not affect it.

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Date: 11/11/2015 13:37:13
From: JudgeMental
ID: 799694
Subject: re: Measuring distances accurately

I have asked on The Science Forum.

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Date: 11/11/2015 15:22:06
From: Michael V
ID: 799701
Subject: re: Measuring distances accurately

http://www.nature.com/news/has-giant-ligo-experiment-seen-gravitational-waves-1.18449

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Date: 11/11/2015 15:39:41
From: wookiemeister
ID: 799703
Subject: re: Measuring distances accurately

gravitational waves were eventually discovered when the endurance took measurements when around the super massive black hole Gargantua

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Date: 11/11/2015 15:52:52
From: Ian
ID: 799707
Subject: re: Measuring distances accurately

Michael V said:


http://www.nature.com/news/has-giant-ligo-experiment-seen-gravitational-waves-1.18449

Chad Hanna, a physicist at Pennsylvania State University in University Park who leads LIGO’s search for mergers, told me earlier this year that he has already got permission from his wife to keep his mobile phone on at night, waiting to receive alerts. “When the signal of a merger arrives, we’ll know 30 seconds later,” he says.

———

Wonder what happens if she says, “Chad, you’re not going off to play LIGO at this hour of the night.”

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Date: 11/11/2015 15:53:33
From: CrazyNeutrino
ID: 799708
Subject: re: Measuring distances accurately
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Date: 11/11/2015 16:05:13
From: Michael V
ID: 799710
Subject: re: Measuring distances accurately

“Each observatory supports an L-shaped ultra high vacuum system, measuring 4 kilometers (2.5 miles) on each side. Up to five interferometers can be set up in each vacuum system.”

“The primary interferometer at each site consists of mirrors suspended at each of the corners of the L; it is known as a power-recycled Michelson interferometer with Gires–Tournois etalon arms.” (My emphasis.)

https://en.wikipedia.org/wiki/LIGO

See also:

https://en.wikipedia.org/wiki/Michelson_interferometer

https://en.wikipedia.org/wiki/Interferometry

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Date: 11/11/2015 16:53:20
From: dv
ID: 799715
Subject: re: Measuring distances accurately

There’s no dearth of respectable sources supporting the notion that LIGO can detect changes around the scale of an attometre.

As to how, I don’t know.

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Date: 11/11/2015 17:11:52
From: The Rev Dodgson
ID: 799725
Subject: re: Measuring distances accurately

dv said:


There’s no dearth of respectable sources supporting the notion that LIGO can detect changes around the scale of an attometre.

As to how, I don’t know.

I’d better hope they said 1/billionth on the ABC then, so I can maintain my outrage.

Measuring to 1 attometre in 4000 m is pretty impressive though. I’d expect the variation in the position of the mirror surface due to random vibrations and thermal movement to be way more than that.

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Date: 11/11/2015 17:13:45
From: dv
ID: 799726
Subject: re: Measuring distances accurately

The Rev Dodgson said:


dv said:

There’s no dearth of respectable sources supporting the notion that LIGO can detect changes around the scale of an attometre.

As to how, I don’t know.

I’d better hope they said 1/billionth on the ABC then, so I can maintain my outrage.

Measuring to 1 attometre in 4000 m is pretty impressive though. I’d expect the variation in the position of the mirror surface due to random vibrations and thermal movement to be way more than that.

It is a little misleading. They can’t measure the distance (circa 4 km) to a precision of 1 attometre. But they can detect changes in the distance around 1 attometre.

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Date: 11/11/2015 17:15:41
From: Cymek
ID: 799727
Subject: re: Measuring distances accurately

The Rev Dodgson said:


dv said:

There’s no dearth of respectable sources supporting the notion that LIGO can detect changes around the scale of an attometre.

As to how, I don’t know.

I’d better hope they said 1/billionth on the ABC then, so I can maintain my outrage.

Measuring to 1 attometre in 4000 m is pretty impressive though. I’d expect the variation in the position of the mirror surface due to random vibrations and thermal movement to be way more than that.

They said it was isolated from outside influence but I wonder if it still gets false positives

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Date: 11/11/2015 18:19:13
From: wookiemeister
ID: 799732
Subject: re: Measuring distances accurately

you can see the exhaust of the rockets going backwards, doesn’t slow aircraft

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Date: 11/11/2015 18:20:09
From: mollwollfumble
ID: 799734
Subject: re: Measuring distances accurately

The Rev Dodgson said:


In some science show on last night they said that in seeking evidence of gravity waves they were measuring distances of the order of km to a precision of 1/billionth 1/thousandth the diameter of a proton.

Is that correct? If so, how can they possibly do that? If not, what precision do they work to?

I wish I knew how they could possibly do that. I do know that they adjust distances on a very fine scale using piezoelectricity. In piezoelectricity each atom is slightly squeezed when an electric charge is applied, and this allows accurate squeezing to much less than the diameter of an atom.

An article on the limitations on the accuracy of positioning can be found here https://ligo.caltech.edu/page/research-development

I don’t claim to fully understand it, but it refers to concepts of:

“More than thirty different control systems are required to hold all of the lasers and mirrors in proper alignment and position”.

“Gravitational wave interferometric detectors are the most sensitive position meters in existence, aiming to measure strain (∆L/L) sensitivities of the order of 10 -23. In order to achieve such incredible sensitivities, the LIGO detectors employ 4 km long Fabry-Perot cavities in the interferometer arms”

“Thermal fluctuations in mechanical systems (“thermal noise”) are a limiting noise source in current gravitational wave detectors, in the best frequency references, and in the field of macroscopic quantum measurement. Thermal fluctuations can be limiting, despite having a magnitude typically of order 10 -18 m”

“At frequencies below 200 Hz LIGO’s detector is limited by the Brownian motion noise”

“The fluctuating radiation pressure from the photons will result in fluctuations in the positions of the mirrors. This quantum radiation pressure noise (RPN) limits LIGO’s ability to measure accurately the strain of a passing gravitational wave” … “this quantum noise is more rigorously described by the interaction of quantum vacuum fluctuations, which enter the readout port of the interferometer with the circulating laser light.”

“The variances in orthogonal quadratures of a vacuum state are governed by a Heisenberg-like-inequality. One can reduce the variance in one quadrature, mitigating the corresponding noise term at the expense of heightened noise of a different type. The result is called a ‘squeezed vacuum state’, with the act itself known as squeezing.”

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Date: 11/11/2015 18:42:07
From: mollwollfumble
ID: 799736
Subject: re: Measuring distances accurately

Even the article http://arxiv.org/pdf/1205.5643v1.pdf doesn’t say much about the incredible accuracy obtained, and it says nothing aboiut using piezoelectricity. Instead, the optic position is controlled by something called a “coil driver”, which is incredibly simple, see Figure 5. The position is controlled by a magnet (cylindrical rod) attracted by a coil. An extension of the magnet (flag) partly blocks the light path between an LED (with lens to give parallel rays) and a photodiode. The amount of light detected by the photodiode tells the software by how much to change the current through the coil, and that’s about it, all the rest (tuned suspension, viscous damping) is largely window dressing.

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Date: 11/11/2015 18:47:11
From: The Rev Dodgson
ID: 799737
Subject: re: Measuring distances accurately

mollwollfumble said:

An article on the limitations on the accuracy of positioning can be found here https://ligo.caltech.edu/page/research-development

Thanks for that. Very interesting.

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Date: 11/11/2015 19:17:10
From: mollwollfumble
ID: 799738
Subject: re: Measuring distances accurately

This is supposed to be the position control mechanism for LIGO. As I say, amazingly simple. Peak actuation forces are up to about hundred mN per actuator. The coil design is 800 turns of polyimide coated 32-AWG wire and the magnets are 10 mm×10 mm Nd-B-Fe cylindrical magnets.

Position accuracy quoted for gravitational wave detectors tends to be given not in m but in m/sqrt(Hz)

For example, of order 10 -10 m at 1 Hz from Figure 7 in the linked article.

Now, 10 -10 m is one Ångström, which is about the diameter of a hydrogen atom, which is definitely not “one thousandth of the diameter of a proton”.

So in summary – I don’t get it.

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Date: 12/11/2015 09:09:11
From: JudgeMental
ID: 799833
Subject: re: Measuring distances accurately

http://www.thescienceforum.com/astronomy-cosmology/51928-gravity-waves.html

see Janus’ post.

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Date: 12/11/2015 10:06:26
From: The Rev Dodgson
ID: 799845
Subject: re: Measuring distances accurately

JudgeMental said:


http://www.thescienceforum.com/astronomy-cosmology/51928-gravity-waves.html

see Janus’ post.

It’s an interesting comment, but it doesn’t answer the question.

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Date: 12/11/2015 10:18:02
From: JudgeMental
ID: 799846
Subject: re: Measuring distances accurately

i know and have addressed that now. but it shows that this particular prediction is probably correct.

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