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?
edit: light as in electromagnetic waves, not visible light. Sorry if it was not very clear
If it’s infinitely long it has zero energy, making it kind of irrelevant.
Can I rephrase the question to, what is the longest electromagnetic wavelength ever recorded?
Wouldn’t f=0 describe any place of equilibrium in the electromagnetic field? Anywhere there isn’t currently a photon?
I mean, the expansion of the universe is a wave propagating with a potentially infinite wavelength. Not necessary for it to be any light stretching from the beginning of the universe, but also not impossible afaik.
The wave would probably interact weakly with anything making it very hard to detect. And depending on the initial burst it will probably also have it’s energy too spread out to be of any noticeable amplitude.
Whales could understand it
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 one spot that it will form a black hole. So that would be the lower limit.
So that would be the lower limit.
Why would it be the limit? Couldn’t you keep stuffing more and more energy and get a bigger black hole? Also would such a blackhole move at the speed of light?
Nothing that has non-zero mass can move at the speed of light so no
Couldn’t you keep stuffing more and more energy and get a bigger black hole?
I guess. But it wouldn’t be light with a wave length anymore. It would be a black hole.
Also would such a blackhole move at the speed of light?
That’s an interesting thought. I don’t think so. Once you get the black hole it should gain mass. But that’s really hitting the limit of my physics knowledge.
this is actually one of the most fascinating things I’ve read in awhile, thank you.
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?
Infinities are generally outside of practical applications, so you wouldn’t. It’s more of a thought experiment.
Interesting, I learned something new today :D
The idea that a 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.
However, 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.
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.
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).
It is affected by gravity. But does it have gravitational pull? The thing about black holes is that they have a lot gravitational pull.
I’m asking because I honestly don’t know.
They do indeed. It’s totally minuscule of course.
Everything that has energy deforms spacetime and spacetime affects how anything with energy moves.
Mass and energy are basically the same thing though. Since
E = mc²you can substitute mass in any equation withE / c².What the two other replies have neglected to mention as the cool side-effect of light affecting the curvature of spacetime despite being massless is that it’s theoretically possible to make a black hole out of nothing but light. The concept is called a “Kugelblitz”, https://en.wikipedia.org/wiki/Kugelblitz_(astrophysics)
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.
