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The slowest speed? 
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#1
May305, 06:21 PM

P: 24

Just a little interesting question: Is it possible to slow something down to where its impossible to go any slower and that object has to seize to be in motion?
Since there are quantums of energy, and motion is kinetic energy, there has to be a slowest speed right? 


#2
May305, 06:31 PM

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Recall that all motion is relative. So if you are the point of reference then you are moving at the slowest possible speed. What is your frame of reference?



#3
May305, 06:36 PM

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It's a funny question that kind of leads nowhere imo. Because if you consider the macroscopic size, then sure, a pen on a table is at rest on the table. Its speed is zero. Or so it seems! If we zoom on the edges of the pen we start seeing extreme comotion. Molecules are flying in an out of the pen like mad. This is not rest at all! Now suppose we suceed in stoping ont of those molecule. Now look closer. Again, electrons making the atoms do not seem to be at rest at all. But now that we've entered the quantum level, speed is not a concept that makes sense. There is only probability of observing the electron at such and such places.



#4
May305, 08:07 PM

P: 606

The slowest speed?
Slowest speed?
Speed is relative. A pen on a desk is not moving in relation to the desk. Someone walking by might say that the pen is not moving because it did not experience any acceleration. But certainly the pen does move. It rotates along with the Earth and revolves around the sun with everything else on the planet. So the pen moves in relation to the center of the Earth and the Sun and the rest of the universe. I don't know if no motion on this scale is possible because I am not sure if there is a center to the universe. Motion on an atomic level is based on temperature. The molecules of the pen will always be moving. As temperature is decreased the electrons become less active. The slowest speed that electrons can move is at absolute zero. As far as I know nobody has recorded this temperature in an actual experiment. If you can state your question more clearly then you will get a clearer answer. 


#5
May305, 09:23 PM

P: 24

Well if you had a car going 1 mph then you slowed it down to .5 mph then .25 mph then .00005 mph... how much farther can u go? Is it possible to continuously divide up speed so that it could be say, .00000000000000000001 even?



#6
May305, 09:26 PM

P: 2,218

Yeah, theres no reason not to.
If its travelling at 1, 0.5, 0.25.. etc with respect to a certain obsrever, hten the smallest speed possible would be 0, as in stationary with respect to the observer. 


#7
May305, 09:35 PM

P: 606

Yes, or even less than that all the way to 0.



#8
May405, 02:22 AM

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Quantuized momentum is as close as quantum mechanics comes to having a quantized speed. (Speed really isn't part of the formalism of quantum mechanics per se, but you can moreorless think of momentum / unit mass as being speed, depending on the exact application.) Note that if you have a particle sitting out n free space (not in a box), neither its energy nor its momentum is quantized. It's the boundary conditions of being in a box that creates the quantum energy levels. I 


#9
May405, 06:44 AM

P: 1,017

... when you cross thermodynamics, special relativity and cuttingedge quantum theory? As a couple of people have said, even when a macroscopic (or even a microscopic) body is at rest (let's just say relative to the observer), its components are bustling  internal energy. So sticking to fundemental particles, say an electron, would TD not say that, as it has energy it cannot have a temperature as low as absolute zero and so, as measuring temperature requires movement, must be moving? But if it is at rest relative to the observer, would that not be a flaw in SR  that something we know must be moving appears not to be?
And then there was an article in New Scientist I read about a theory that there is a minimum distance a particle of certain energy may move related to the Plank length and the time taken to move that distance can be considered a 'quantum tick'. Have read no followup on that, and trying to find it again in my massive pile of NS mags would be like trying to find a needle in a stack of identical needles, but does this mean anything to anyone else? If there's any truth in it, it would indeed yield a minimum nonzero speed. 


#10
May405, 08:17 AM

P: 1,017

Loop quantum theory! That's the fella! There's loads of stuff about it on the strings page. How out of touch am I?!?



#11
May405, 11:17 AM

P: 42

isnt the smallest length Planks length and the smallest interval of time Planks Time ?
so wouldnt the lowest speed somethingthat can move (in an inertial frame) be Speed = Planks Length/Planks Time I know this probably wouldnt work at all due to uncertanty etc and is probably totally wrong with regards to quantum mechanics, but its a thought... 


#12
May405, 11:20 AM

P: 352




#13
May405, 11:24 AM

P: 42

ok, well I havent realy studied QM for long enough yet, but I think that there is a smallest distance an object can move  maybe it isnt planks length...I cant remember, but it would need space to be quantised which I dunno if it is...
I guess we need one of those crazy theoretical physicist types to enlighten us ;) 


#14
May405, 11:43 AM

P: 352

well my theory is that KE is what allows these quantom jumps through spacetime.



#15
May405, 06:51 PM

P: 42

so is there any basis to this theory ?
because not everything that propegates through space actually has kinetic energy 


#16
May505, 07:13 AM

P: 1,017




#17
May505, 07:29 AM

P: 1,017




#18
May605, 03:45 PM

P: 42

oh yea how could I have been so stupid
your right of course... oops 


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