goodabouthood
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Can you use any of these theories in daily life? Or how can you?
LGram16 said:Unless you are amish or an amazonian indigenous tribe the yes.
goodabouthood said:Can you use any of these theories in daily life? Or how can you?
Magnetic fields exist because of relativity. So just about every electric machine you use depends on it.
Prof Niemand said:TVs aren't built using CRTs anymore, but when they were, the electrons in the picture tube were accelerated to a sufficient percentage of the speed of light that the design engineers had to take relativistic effects into account, to ensure that the electron would hit the intended spot on the screen.
homeomorphic said:With special relativity, it's a different story. Lots of applications. One example would be nuclear physics. Nuclear power, nuclear weapons. Even in chemistry, you have to take relativity into account. Molecules may be moving very fast if the temperature is high. That means things have slightly more mass as they heat up. I'm sure there are many more. It's pretty far-reaching, actually, even though it's probably relatively rare overall in engineering that you can't get away with classical approximations.
The main reason which special relativity is taken into consideration in chemistry is not because molecules move very fast at very high temperatures (probably most molecules would dissociate before being accelerated to speeds comparable to that of light), but because inner electrons move very fast in heavy nuclei.
homeomorphic said:I may have said "very" fast, but it would be a mistake to interpret that as saying that they move near light speed. I didn't make that claim. The claim was just that they move faster, hence they have higher relativistic "mass".
If I am wrong about this, it's my chemistry prof's fault, since this is essentially exactly what he told us. But at least I was right that relativity has a role in chemistry.
Well, by «speeds comparable to that of light» I did not mean «near light speed», but speeds v<c for which special relativistic effects cannot be ignored. Notice that for v=0.05c typical terms as 1-(v/c)2 = 0.9975 ≠ 1 and relativistic corrections are relevant by the needed quantum chemical precision {*}
As said, it is not needed to accelerate molecules to observe relativistic effects. They are already observed in the inner electrons of heavy atoms (as those of Gold) at rest.
Some scientists continue using the old concept of relativistic mass, which varies with speed; however, the tendency in modern relativistic physics is to use invariant mass m≠m(v)
Relativity seriously impacts my daily life. Without it, I would not have as many interesting educational videos to watch.
homeomorphic said:Well, I was more or less aware of that. I wasn't saying it's normally needed in chemistry. It was my impression that it could come up, not that it's something that's normally necessary, and I was well aware it wouldn't be relevant in the vast majority of chemical situations.
Somehow, I'm lazy about getting a sense for exact numbers and quantities, though. I don't know what kind of molecular velocities would ever come up normally in chemistry. But, let's say your gamma is 1.000001. If you have 1000 kilograms of stuff move at a speed giving you that gamma, you get that the relativistic mass increases by 1 gram. I'm no chemist, but it's conceivable that if you wanted a lot of precision in a high temperature kind of thing, maybe you would care. But I don't know.
homeomorphic said:Actually, I was recently won over to the side of the invariant mass just a few days ago because of another thread here, the point being that the invariant mass is what is relevant for gravitational purposes. Up until then, I was never really sure which to use. I still think it helps to think of the other mass as an "apparent mass" in some situations.
I have two questions:
(i) How many precision you think that we can measure mass? Hint look to the display of a modern high precision balance
(ii) Did you read the note {*} in the message that you are replying?
Originally Posted by homeomorphic View Post
It is not true that the invariant mass «is relevant for gravitational purposes» only. When solving the Dirac equation in relativistic quantum chemistry and atomic physics, you must input the invariant mass of the electron.
homeomorphic said:Did I SAY it was relevant for gravitational purposes only?juanrga said:It is not true that the invariant mass «is relevant for gravitational purposes» only. When solving the Dirac equation in relativistic quantum chemistry and atomic physics, you must input the invariant mass of the electron.
Either that, or they just fiddled with the dials until the picture looked right. I'm not an expert on the subject, but I think that's more likely. Especially since the CRT was invented in 1897...Prof Niemand said:TVs aren't built using CRTs anymore, but when they were, the electrons in the picture tube were accelerated to a sufficient percentage of the speed of light that the design engineers had to take relativistic effects into account, to ensure that the electron would hit the intended spot on the screen.