What would the properties of an infinitely long wavelength of light be? And what about a wavelength of light that is infinitely short? What would that look like?
A wave with an infinitely long period isn’t really recognizable as a wave. It’d just be interpreted as a flat line anywhere in the universe. And as mentioned, the energy of light is tied to its frequency: E = hf
. (Or with hbar • omega, but that’s just multiplied with and divided by 2π, so, the same thing.)
So an infinitely long wave would have f=0 and thus no energy.
The highest frequency you’d get would be 1/planck-time, so the energy would be the Planck constant divided by Planck time, which would be roughly 12.3 GJ. That’s a lot of energy for just one photon, but if it’s just the one, likely not world-ending.
remon@ani.social 8 hours ago
There is no upper limit, so really this comes down to how big the universe is.
It’s properties would be that it’s extremely low energy … and basically impossible to detected as you’d need a universe-sized antenna.
For short wavelengths you’ll eventually concentrate so much energy in once spot that it will form a black hole. So that would be the lower limit.
FRYD@sh.itjust.works 8 hours ago
The idea that a and very small wavelength would cause a black hole doesn’t really make sense to me since I thought a black hole requires mass. I’m no physicist, so I don’t really know.
A search about light with a Planck wavelength came up with this result which seems to claim that eventually the wavelength would become so small as to no longer be capable of holding information and would essentially do nothing.
remon@ani.social 8 hours ago
It’s mass OR energy.
Light, even though massless will still bend (and be affected by distorted spacetime) because it has energy in form of momentum. (See: gravitational lensing).
yetAnotherUser@discuss.tchncs.de 6 hours ago
Mass and energy are basically the same thing though. Since
E = mc²
you can substitute mass in any equation withE / c²
.jaybone@lemmy.zip 4 hours ago
How would you create the infinite wavelength? Would you redshift a light source for eternity? Would you have to move it at the speed of light?
remon@ani.social 4 hours ago
Infinities are generally outside of practical applications, so you wouldn’t. It’s more of a thought experiment.
sbeak@sopuli.xyz 8 hours ago
Interesting, I learned something new today :D
ellypony@lemmy.world 7 hours ago
this is actually one of the most interesting things I’ve read in awhile.
Zwuzelmaus@feddit.org 8 hours ago
I’d say we have set an artificial limit: at some frequency/wavelength, we do not call it “light” anymore. Around 1mm, we call it “Radar” or “microwaves”, and at about 1 m or more, we call it “radio”.
remon@ani.social 8 hours ago
Unless you specifically say “visible light” I assume “light” to just mean electromagnetic radiation.