realexplodingcat: (Default)
explodingcat ([personal profile] realexplodingcat) wrote2004-12-10 11:57 am

Who wants to build a measuring device?

Now, this sounds like a challenge to me.

Physicists have set a limit on the smallest length that can ever be measured - and any device that tries to beat the limit will be crushed into a black hole of its own making.

The finding is based on an analysis of interferometry, a technique that uses interference of waves to measure small lengths. Quantum theory says that the more accurate the measurement you want, the more massive the interferometer you need.

But Xavier Calmet, Michael Graesser and Stephen Hsu of the California Institute of Technology in Pasadena point out that any very massive interferometer would have to be spread over an extremely large region of space. Otherwise, the large mass concentrated in a small area would produce strong enough gravity to form a black hole, sucking in the interferometer.

But as the mass and the size are made ever larger to measure ever smaller lengths, the interferometer eventually becomes so big that its various components would not be able to interact fast enough for it to work, even using signals traveling at the speed of light.

Mathematically, these constraints lead to an instrument that can accurately measure only down to about 10^-33 centimetres, a distance known as the Planck length (Physical Review Letters, vol 93, p 211101).

[identity profile] futabachan.livejournal.com 2004-12-10 06:00 pm (UTC)(link)
Oh, that's a really pretty result. That it worked out to exactly the Planck distance, that is.

[identity profile] explodingcat.livejournal.com 2004-12-10 06:42 pm (UTC)(link)
Indeed, it is. Quite elegant.

Aaarr!

[identity profile] agentleman.livejournal.com 2004-12-10 08:36 pm (UTC)(link)
Aaaargh, they be walking the Plancklength.
Agent L.

Re: Aaarr!

[identity profile] explodingcat.livejournal.com 2004-12-11 07:09 am (UTC)(link)
For that aaaarrible pun I shall use me cutlass to bohr a hole in you. Niels Bohr that is!

[identity profile] lightning-rose.livejournal.com 2004-12-11 06:12 am (UTC)(link)

At least now we know how to make a black hole without messing around with any nasty fusile material.

[identity profile] krasota.livejournal.com 2004-12-11 07:11 am (UTC)(link)
And knowing is half the battle.

The other half is figuring out how to use a black hole in a combat situation.

[identity profile] krasota.livejournal.com 2004-12-11 07:13 am (UTC)(link)
um, that last reply was [livejournal.com profile] explodingcat.

He obviously isn't aware with the famous theory/strategy Charge of the Slide Rule Brigage.

[identity profile] simonvervain.livejournal.com 2004-12-11 05:52 pm (UTC)(link)
I have two geeky thoughts here:

1) What wavelength was the Plancklength interferometer using?

2) As black hole formation due to large mass is essentially a General Relativistic factor, getting such a quantum result is really cool! I wonder how they determined it's mass? what did they build it from? Or, was it the intrinsic mass of the photons required to operate on that scale? Cause that'd be even cooler!

[identity profile] explodingcat.livejournal.com 2004-12-13 12:20 am (UTC)(link)
I wish I had the answers. But I can only guess they built it from green cheese.