Re: speed of electrons
Sam:
Originally posted by physis:
Bryan,
First: Can you tell me what SR is? It's been a while since I've looked at physics.
SR is just special relativity.
Second: An object with mass can't make C because mass increases with velocity requiring more energy until the universe is out of gas (the short version). So that's where it seems like this tacyon not manifesting as mass could get away with it.
This is the old E=MC^2 equation. (short version) This works well for practical acceleration with mass, but does not account for gravity.
Third: Again, I don't know what SR is, but you say information or energy must be transfered to qualify. I'm not being sarcastic but doesn't that mean you can only go faster than light as long as nobody knows about it?
Not really. There are several superluminal solutions that do not violate SR or the casuality laws. Actually, all wave equations possess possible solutions with speeds ranging from zero to infinity. Thius is called "undistorted progressive waves." Most are only thought experiments and cannot be produced in the physical world. One true working experiment is with what is known as "X-waves." Think of wave motion like that of an AC sine wave. There are crtical values such as RMS, average, and peak-to peak. In waves, the energy or information part (RMS) travels at c, but the peak can become superluminal by transitory phenomenon. This is similar to the reshaping that occurs for waves in dispersive media (atomic gass) with absorption and gain. The gain exceeding c. (anomalous dispersion)
Third.5 (edited in): Electrons readily speeding? Phase and group velocity? Is this theory or measured?
These have been both theorized in field equations primarily by Maxwell Equations. As a matter of fact, all matter was accelerating well pass c in the early expansion of the universe. At some point, the expansion may exceed c again, and not violate any laws as long as the matter in space/time does not exceed c. The universe is currently expanding at about 70 km/s/Mpc.
Fourth: Oh boy, quantum mechanics, I think it was invented by calculator salesmen. I know it's produced some acheivements but I keep waiting for the simpler theory rule to fix it.
QM is responsible for alot of great discoveries and understanding of the really small. The uncertainty principle, spin, and paticle/wave duality has come out of QM. However, if QM and Gravity every want to be understood by one equation, QM will have to be totally re-condsidered. There is something missing???
Fifth: How do you know an electron needs motion to have mass? I know that they've almost froze atoms to the point of stopping but I thought they were still moving a bit (I forgot the temperature). I can sort of visualise that though. The electron dissipating to energy. Sub atomic particles are kind of bashful.
A photon (gamma ray in case of electron) travels at two velocities: rest and c. A photon at rest has no energy or no mass. How does an electron have mass? As it turns out, the accepted mass of an electron is that of a resonating gamma ray. It is then believed that the electron is a massless object with a resonating gamma ray about it. If the gamma ray were to be at rest, the electron would have no mass. What keeps the electron stable is the belief that the electron does not just exhibit a negative charge (-1), but has a domain charge that is equally positive. (+1) These two forces hold the electron stable, while the external negative charge reacts weakly and through EM repulsion to other particles.
And one more thing: I heard some years back that our way of seeing time as a series of discrete events starts to break down at about 10 to the -27 seconds. Do you know anything about that?
I believe you are refering to the "Planck Time". This si the length of time that classical mechanics of gravity and space/time cease to be valid and QM takes over. In mathematical terms, it is the time it takes a photon to cross a "Planck Length" or roughly 10^-43 sec. Nothing smaller in tim matters.
I started off my educational career, as I call it, with physics and math. When I realized that I couldnt make a living with it, I began studying electricty. The two inter-twine nicely. Thanks for your kind words.
Bryan Holland