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String theory / Plank length question 
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#1
Jan1613, 09:27 PM

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From whst I have read, anything smaller than Plancks length, you need to account for quantum gravity.. also, it is assumed strings in string theory are plancks length.. so how could anything be smaller than plancks length if strings are plancks length(or greater than)? I thought strings made up everything?
Sorry if my question is stupid or doesnt make sense, im just a HS student who likes to look up and attempt to understand some ineteresting physics. 


#2
Jan1713, 08:19 AM

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 String theory is just a hypothesis, it can be wrong.
 String theory does not have particles which are smaller than (the order of the) planck length, but the strings itself can need descriptions on scales smaller than their own size. 


#3
Jan1713, 08:44 AM

P: 48

Okay, that was what I assumed...
anything smaller then planck length is under the laws of quatum mechanics, correct? and anything larger is not.. 


#4
Jan1713, 09:11 AM

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String theory / Plank length question
Anything follows the laws of quantum mechanics*. But for anything smaller than the Planck scale you need an extension of the (current) quantum mechanics, which takes gravity into account.
*well, depends a bit on your favorite interpretation of QM, but at least there is no fundamental size limit 


#5
Jan1713, 10:36 AM

P: 48

sorry, QG is what I meant. But if planck length = length of a string, and nothing can be smaller than that, nothing would be affected by QG. I know this isnt true, im missing a concept somewhere, but not sure where...
QG is needed when less than Lp(planck length) Strings of string theory are assumed to be planck length or higher... Thus. nothing can be smaller than planck length and QG wouldnt affect anything. 


#6
Jan1713, 11:06 AM

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Take apples as an example: An apple has a size of some centimeters. But there are apples with different diameter, and different geometry, and you can compare apples on a scale of millimeters or even micrometers. In addition, we are talking about a specific theory here. 


#7
Jan1713, 02:01 PM

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Similarly, QG effects are not zero at 1000 Planck lengths, but they are around 0.1% smaller than the classical description. Depending on the precision of a hypothetical experiment, they might be completely negligible. However, a sufficiently precise measurement could not neglect QG effects. The Planck length is the length scale at which the quantum effect is as large as the classical prediction, so there is no confusion at all about whether or not quantum gravity effects can be neglected. It is not some magic scale where QG effects get turned on. 


#8
Jan1913, 01:50 AM

P: 407

Which brings me to the second point, which fzero has already touched upon. At the Planck scale, quantum fluctuations of the spacetime geometry become of order one, so there is no good notion any more of what a metric is, and thus distance, etc. Thus it does not make sense to use the word "smaller". In the picture alluded to above, Apples can_not_ be compared with each other at a millimeter scale, because there is no way the specify what a millimeter is. This applies more or less to all theories of quantum gravity besides strings. 


#9
Jan1913, 06:34 AM

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Unobservable to direct measurements is not the same as "not there". As long as you don't consider a discrete spacetime, smaller distances are there  even if there is no direct (!) way to probe them, similar to the problem of measuring millimeters if "hit it with an apple" is your only option.



#10
Jan1913, 04:04 PM

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#11
Jan2013, 03:34 AM

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If I would know that, I would publish that theory of everything and wait for the Nobel Prize .



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