If the radius is very small (corresponding to a small volume of space) only high energy photons can enter, and if the shell has a larger volume also lower energy photons can enter ( how we make them enter is of no importance we can simply envision that the number of photons increases). The photons must have a wavelength compatible with the radius of the shell. The shell is made of incompressible material and reflects every photon (obeying Bose-Einstein statistics, so more photons can exist in the same state) inside elastically. Let's use a spherical shell to confine the photons in a finite space. To see more on this last part, click this link for more information about Hawking Radiation. This would also apply to fundamental particles as well (assuming they have no well defined volume) since they have mass and therefore energy.įurthermore, if you were to continually put more photons/matter into it, the "stuff" inside the black hole (given a sufficient length of time) will gradually dissolve by radiating away the energy of the stuff that was there to begin with, once again meaning that no finite region can have infinite photons/particles. So you probably could not fit an infinite number in a finite volume as the energy density will be infinite. At this point the region will be infinitely dense and infinitely small. Even though photons are waves, they have energy and from general relativity you can only have so much energy in a certain region up to a point where the energy density is so high that the region will collapse into a black hole. In principle you could fit a very large number of photons into a finite volume but with a limit.
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