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Lumifer comments on Stupid Questions, December 2015 - Less Wrong Discussion

5 Post author: polymathwannabe 01 December 2015 10:40PM

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Comment author: solipsist 02 December 2015 08:37:05PM 0 points [-]

Oh! So you're saying the spectrum of the acoustic noise at a given temperature will be the spectrum of black body radiation! Yes, I could definitely believe that. That is high-frequency indeed.

Comment author: Lumifer 02 December 2015 09:01:21PM 1 point [-]

Black-body radiation is electromagnetic radiation, so I'm a bit confused how that's connected with acoustic noise. As to molecule collisions, I'm not sure vibrations at sufficiently high frequency can be called "acoustic" at all.

Comment author: mwengler 06 December 2015 03:47:52PM 1 point [-]

As to molecule collisions, I'm not sure vibrations at sufficiently high frequency can be called "acoustic" at all.

Your reasoning here carries useful information. For example, when you are dealing with vibrations whose frequency is so high that the wavelength of the vibration is less than the average spacing between molecules in a gas, or in a solid lattice, then a lot of what you calculate about the detection and interactions with lower frequency vibrations no longer applies.

However, the same limitations apply to electromagnetic radiation. For example we think of vacuum or empty space as transparent to EM radiation, and it is as long as the EM frequency is low enough frequency. But high enough frequency EM radiation, empty space is opaque to it! For example, at high enough frequencies, a single photon has enough energy to create a positron-electron pair in free space. Photons at that frequency don't travel very far before they are destroyed by such a spontaneous generation of particles.

So in principle, EM radiation and acoustic vibrations are the same in this respect: as long as you are considering frequencies "low enough" that they don't rip apart the medium in which the wave exists, they behave in the ways we usually think of for sound and light. But above those frequencies, they rip apart the media they are traveling through, even if that medium is so-called empty space.

Comment author: Lumifer 07 December 2015 03:32:24PM 0 points [-]

For example, at high enough frequencies, a single photon has enough energy to create a positron-electron pair in free space. Photons at that frequency don't travel very far before they are destroyed by such a spontaneous generation of particles.

So what kind of energies are we talking about here, and what distances?

Comment author: mwengler 08 December 2015 09:15:53PM 0 points [-]

Photons with over 1 Million electron volts of energy can create a positron-electron pair, but only when near another massive particle (like the nucleus of an atom). The other massive particle is moved in the interaction but is otherwise not-necessarily changed. https://en.wikipedia.org/wiki/Pair_production. This process has been demonstrated experimentally. The mean free path of the energetic photon near an atomic nucleus is something down on the atomic scale, the experiment I read about used a piece of gold foil and generated lots of positron-electron pairs.

A single photon in otherwise empty space cannot create a pair of particles I was wrong when stating that. However, space with nothing but two photons in it can create matter. Two photons each with a bit over 511 million electron volts of energy can collide and result in the creation of a positron and an electron. https://en.wikipedia.org/wiki/Two-photon_physics Alternatively a single 80 Tera Electron Volt photon can collide with a very low energy photon to create an electron-positron pair. This effect actually makes our existing universe opaque to photons above 80 TeV because our universe is filled with approximately 0.0003 eV photons known as the Cosmic Microwave Background radiation. This background radiation is left-over radiation from the big bang which by now has cooled down to about 3 Kelvin in temperature. I don't know any of the actual mean-free-paths associated with this, just that they are much shorter than interstellar distances.