Talk:Unruh effect
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Direction of the Radiation
The direction of the Unruh radiation is often overlooked, but when it is mentioned it is usually assumed that it comes at the accelerating observer from in front. This cannot be the case if it is supposed to be the analogue of Hawking Radiation via the Equivalence Principle, for if this was so the radiation would have to be perceived as coming from behind the accelerating observer !
Can anyone confirm that Unruh radiation should (if it exists) be detected by an accelerating observer as coming from behind his direction of motion.... —Preceding unsigned comment added by 212.85.28.67 (talk) 13:56, 21 June 2009 (UTC)
- I am disappointed that nine years have passed without any answer to this question appearing within the article. Is it not known?
- My impression from reading various sources is that accelerating observers are expected to observe Unruh radiation coming at them from all directions. Is this radiation indistinguishable from Hawking-like radiation emitted from the Rindler event horizon? I can see how it would be true for emitted particles of non-zero rest mass, since such particles would follow trajectories that eventually would return them to the event horizon. The accelerating observer would encounter both outgoing and in-falling radiated particles. But that would not be the case for photons, and (if true) that would violate the equivalence.73.162.77.84 (talk) 06:20, 17 June 2018 (UTC)
- This is a question has gone long unanswered here which is a testament I think to the difficulty of the question even among seasoned physicists who themselves get tied in knots over things like this. Anyway... To finally answer: Unruh radiation is described by a thermal equilibrium bath such that the radiation flux is locally zero. You, or your thermometer, heat up because the small volume around you seems filled with omni-directional radiation. It's an oven. This bath however is distinguishable from normal kind of thermal bath constructed from a black box. If we heated up a black box and stuck you inside, you could translate around the box and measure the same temperature. This however cannot be done with Unruh radiation as the temperature of the bath varies as you translate around the coordinate system. This should sound very strange because a thermal bath should be by definition in equilibrium, thus it would normally be contradictory for there to be a "temperature gradient" without the accompanying flux of heat. Or in other words, the hot region should warm up the cooler regions, and it would in a normal thermodynamic system like an oven, but it doesn't here because the thermal bath made by Unruh radiation very specifically arises from the vacuum state observed under acceleration. This article published in Nature goes over the details. https://www.nature.com/articles/s41467-019-10962-y
- I hope this is helpful to any who stumble upon this talk page. - Andrew S. 2601:500:4380:9AB2:645B:507A:EF82:100F (talk) 09:43, 5 February 2022 (UTC)
(random heading)
(Inserted by random ... said: Rursus (bork²) 10:52, 20 February 2009 (UTC))
Question: The last sentence, about testing the effect, mentions accelerating a particle to 10^26 m/s^2. How does that work? The only way I can figure is to keep oscillating its speed, since after the first second of uniform acceleration it would exceed lightspeed.
- The acceleration is measured in the rest frame of the accelerating particle. Measured from an inertial frame, the acceleration would get smaller and smaller as the apparent mass of the particle increses with speed. If you have access to a physics library, check out the section on "hyperbolic motion" in Misner, Thorne and Wheeler's Gravitation; you can also look at Rindler's book Relativity: Special, General and Cosmological (renamed simply Relativity for the second edition). I would also recomend Taylor and Wheeler's Special Relativity. — Miguel 21:41, 2004 Dec 9 (UTC)
- If I don't mix things up, we are talking about very short periods of accelaration, e.g. by using the electromagnetic field of laser light: http://www.slac.stanford.edu/slac/media-info/20000605/chen.html --Pjacobi 21:07, 9 Dec 2004 (UTC)
- Edits Those last two "anon" edits (23 Oct 2005) were by me. Login-related Wikiglitches ( :( ) ErkDemon 20:13, 23 October 2005 (UTC)
I have a feeling this article would be really interesting if it was written in English. --61.214.155.14 04:41, 18 August 2006 (UTC)
- This is as close to English as it's really possible to get. The first paragraph of the overview gives a pretty good layman's overview, and the rest of the introduction adds on detail incrementally. I can't completely follow the final parts of it, but I seriously doubt there's _any_ way to explain the detailed mechanism that doesn't require me to learn about the terms being used. The qualitative effect is covered in the first paragraph ("if you accelerate, it looks like space is filled with a warm gas instead of empty"), with no additional explanation needed.
- If you can think of a better way this should be organized, by all means propose it here. --Christopher Thomas 05:09, 18 August 2006 (UTC)
What is "k"? "T" might be temperature, and "c" light celerity, "π" some times means the relation between radius ant its circumference, but what is "k"? Coronellian 19:09, 16 August 2007 (UTC)
I though this article means that the minimum temperature on hearth is 4×10−20 K, not 0 K. It is likely the sincrotron radiation, but only at 9.8 m/s2. Coronellian 19:17, 16 August 2007 (UTC)