I'd appreciate it if anyone could provide an explanation or a link about this topic.

 

Is there a (theorized) limit to how small an elementary particle could be or if there is a minimum amount of energy that can exist in an object?

If you look at infinite wavelength energy, its wavelength (infinite) times its frequency (zero) is discontinuous and does not equal the speed of light, like all finite wavelenghts of energy. So it is not energy and should be called infinite wavelength not-energy. If this existed, as theorized at the event horizon of blackholes, it would be something moving at C, that is not mass and not energy. So it would have zero energy and still be able to move at C.

 

One would have to give it some potential before zero energy able to appear. One would have to somehow make its wavelength drop below infinite before the product of its wavelength-frequency can equal C. That would be the smallest possible quanta of energy or 0-energy, which is different than 0-not-energy.

Is there a (theorized) limit to how small an elementary particle could be or if there is a minimum amount of energy that can exist in an object?

In theory, you could always half the particle, and then take half of that ad infinitum. However, there is a point (and I'm not 100% confident on this, but) where our caculations break down which is called "Planck length," which serves as a fundamental constant.

 

http://math.ucr.edu/home/baez/planck/node2.html

http://physics.nist.gov/cgi-bin/cuu/Value?plkl|search_for=planck

for some reason I find myself thinking about the plank scale... is this energy limiting? Of course there is a limit to the energy that something could measure, but that is depending on the time it gets to measure it.... ok I'm rambling, but have a look at the plank scale...

A photon with a wavelength the size of the universe

Not sure but I think 0 is the minimum...

I don't know the context of the question in this thread but my association to this question is related to "minimum distinguishable difference" (meaning the minimum _non-trivial_ difference) I asked in http://www.scienceforums.net/forum/showthread.php?t=25086.

 

My best idea so far is the boolean state, and if you believe that energy and information are related I think the minimum (non-trivial) energy is related to the "minimum distinguishable difference", relative to any given observer. A complex observer can resolve differences than simple observer fail to resolve.

 

/Fredrik