and is there a lower limit? Theoreticly there is none but is there a point where the frequency of a radio wave is too low for an electron to emit?
According to the wiki article:That's 16 Joules as I read the wiki... an almost mind-boggling number, enough energy to be macroscopically observable.
But frequency is inversely related to wavelength, right? Can wavelength be arbitrarily short? What if a photon contains so much energy that the wavelength is shorter than Planck length; can that photon exist? I have also heard the statement (here in the Forums, actually) that there is a lower limit, if you envision a wavelength too long to fit within the universe. Those are some pretty exterme scenarios, but do they make sense on theoretically?There is no upper limit. The energy E is simply E=hf, and the frequency f can be arbitrary high. The only question is whether the are processes via which high-energy photons a produced.
Take a look at this thread and especially the posts by phinds and vanadium50:But frequency is inversely related to wavelength, right? Can wavelength be arbitrarily short? What if a photon contains so much energy that the wavelength is shorter than Planck length; can that photon exist?
so the universe is definantly finite?Take a look at this thread and especially the posts by phinds and vanadium50:
I like Lurch's argument about the "Planck length".There is not a limit.
Proof: Consider the following: suppose there were a maximum energy, E_max. You create a source of photons of energy E_max. Now you start walking towards it, blueshifting them. Now their energy is greater than E_max.
hmmm.... Regarding V50's comment, the extractable energy of the universe, and the "Oh My God Particle" I studied this morning;I like Lurch's argument about the "Planck length".
pppppppppppppps. Why is this in the "General Physics" section?
and yes, I did self sensor my "I'm smarter than Einstein and Feynman combined, to the 12th power!", 47 comments
Given that I have a mass of roughly 68 kilograms, and given the limited total extractable energy of the universe to accelerate "me", relative to the "OMG Particle", there is of course, a practical limit.The particle was traveling very close to the speed of light — assuming the particle was a proton, its speed was only about 1.5 femtometers (quadrillionths of a meter) per second less than the speed of light, translating to a speed of approximately 0.9999999999999999999999951c.