Main Question or Discussion Point
Free elementary particles are lighter than the Planck mass, how can the exist as particles, or are they just Compton particles having a Comton waveleght?
Dear jtbell,What is a "Compton particle"?
You misunderstood something. The mass of the elementary particle has nothing to do with its wavelength.Free elementary particles are lighter than the Planck mass, how can the exist as particles, or are they just Compton particles having a Comton waveleght?
Dear MatterwaveLots of things are lighter than the planck mass (which is not all that small at around 10^-8kg). I don't see how a planck mass has anything to do with particles being particles.
Yes, it does. They are deeply related. Compton wavelength in planck units of length, and Compton frequency in planck units of time, are equal to the inverse of particle's mass in units of planck mass. Compton frequency is the native frequency of the particle, it is the frequency with which rest solutions of Dirac and Klein-Gordon oscillate.You misunderstood something. The mass of the elementary particle has nothing to do with its wavelength.
I said "free particle"This is all well and good, but I still don't understand what it has to do with anything.
The "smallest wavelength", "highest point-like energy", etc all correspond to the Planck length/time/mass in various units.
But this has nothing to do with the definition of the word "particle" - that comes from a detector: for example, when we shine a VERY low-intensity light at a florescent screen, we find that we see little "blips" that are isolated from each other. We interpret these as "particles" of light. The same experiment exists for electrons, neutrons, etc, suitably generalized.
None of that has anything to do with Planck-anything!
The source you are using is an interpretation based a belief that Plank's level is fundamental. This is the level usually associated with string theory.The Planck length is the smallest length one can physically attribute to a particle it corresponds to the smallest Schwarzschild blackhole which is physically possible.
Blackholes have dimensions inverse proportional to their mass.
Dear enotstrebor,The source you are using is an interpretation based a belief that Plank's level is fundamental. This is the level usually associated with string theory.