22nd August 2005 - 02:05 PM
QUOTE (Draugluin+Aug 22 2005, 01:30 PM)
Uh.. Thanks, but its no help as im absolutely unsure of what i am looking for
... Please help!
he is refering to zeno's paradox...
when one wants to leave a room one starts to walk to the door..
in alf the distance half the time has past. and so on...
this division of course is infinite and therefore you never reach the door.
perhaps one way to think of this is to remember wave duality. a wave passes through zero energy and then a positive energy again. if this is what happens at the planck length, then its posible that things move by a sort of translation in their wave form by its collapse and its return....
23rd August 2005 - 02:57 AM
Also, the answer was also found quite a long time ago... centuries before quantum mechanics and planck...
Basicaly, you are trying to find if the following summation converges or diverges.
S[i->1;n->(infinity);i++] x/(i)^2, where 2*x is the distance seperating the two points.
The summation is equivalent to this one; x/1 + x/2 + x/4 + x/8 ...
If this sum converges, the total traveled distance is finite. If it diverges, the total traveled distance is infinite.
As expected, it does converge and we can all go back to sleep with peace of mind in knowing that the universe will still be there when we wake up... http://en.wikipedia.org/wiki/Harmonic_seri...8mathematics%29
23rd August 2005 - 03:12 AM
23rd August 2005 - 01:23 PM
Cool Stuff! Anyway, thanks to all.
23rd August 2005 - 03:47 PM
Just a thought. Quantized movement can be seen on a macro scale with super-fluid helium. A thimble sized bucket of super-cooled helium (cooled til it's friction is 0) spun will show the helium going from one level to another on the sides of the 'bucket', never being in between.
23rd August 2005 - 03:56 PM
24th August 2005 - 12:52 PM
Though I belive that what they are saying is that the super fluid helium would just seperate itself into sections according to its speed. It seems to move through the spaces between to get to where it should be though....right?
24th August 2005 - 03:16 PM
right - in the He(l) case, yes. It prefers to quantize as stated, but the liquid does have to go through the "non-quantized" states. They're really not "non-quantized states, however. This doesn't violate QM at all, since the preferred states or eigenvalues (b/z of the temperature) are offset by the fact that the system is rotating. The rotation is another axis and induces a different set of eigenvalues for the atoms to take, since now there is a competing system w/ a different axis orientation.
We encounter this w/ different nuclei, like iodine-125 or bromine-79 whose eigenvalues in the magnetic field compete w/ the nuclei's own massive electric field gradient (EFG) which is almost as strong. You end up w/ a different set of eigenvalues from either the magnetic field or the EFG - what a pain! But still supercool!
30th August 2005 - 04:33 PM
All these answers are crap, it has nothing to do with anything, Its just your perception, how you pervceive movement. Its just as reasonable to say for every 1 inch that my arm moves, there will be 100 elephants created instantaionsly on the underside of a table.
The rules by which you consider measurement of movement are your own!
How does it happen? You tell me!
30th August 2005 - 05:47 PM
oh, great -
Another armchair philosopher. Aaron - you are incorrect. Come under my magnet and I will prove that QM is very real and I would give it up in a second for a less abstract discipline, but I can't.
30th August 2005 - 05:54 PM
Hey, there is nothing wrong with an ArmChair!
Seriously tho, I really have my doubts as to what people know verses reality. I think that if, when and if we get there, we will laugh at all the certainties we knew then and how they turned out to be incomplete.
I guess I walk through life freely admitting that I dont have anything really figured out. I cannot shrink myslef down to the size of a vibrating string and get out my trusty slanley 24' measure and report back what I find. 99.99? of everything we think we know came from someone other than ourself, who if you really knew the truth, had his own doubts about it all!