View Full Version : Is Special relativity quantizied?...
eljose79
Aug31-04, 03:57 AM
This is a special question,...is Sr quantizied?,in fact you will say yes but i don,t think so there are two reasons:
a)Lorentz transforms say that a particle travelling at light speed has length 0,when in quantum string theory is asumed that exists a minimum quantity lp distance...
b)Dirac,s and Klein Gordon,s equation imply the existence of a metric,when you know that in quantum physics can not be a metric..
What is the real quantization of special relativity?.
HallsofIvy
Aug31-04, 07:45 AM
This is a special question,...is Sr quantizied?,in fact you will say yes but i don,t think so there are two reasons:
a)Lorentz transforms say that a particle travelling at light speed has length 0,when in quantum string theory is asumed that exists a minimum quantity lp distance...
b)Dirac,s and Klein Gordon,s equation imply the existence of a metric,when you know that in quantum physics can not be a metric..
What is the real quantization of special relativity?.
Why would you assume that I would say "yes"? Of course, special relativity is not "quantised". Special relativity is completely independent of quantum physics. It is, in any case, almost 100 years old now. No one would expect special relativity to conform to modern quantum theories (or even modern "general relativity" which people are still struggling to connect to quantum physics).
geometer
Aug31-04, 09:29 AM
This is a special question,...is Sr quantizied?,in fact you will say yes but i don,t think so there are two reasons:
Nope - Special and General Relativity are considered to be classical theories.
pervect
Aug31-04, 03:57 PM
This is a special question,...is Sr quantizied?,
What's special about the question?
SR is not quantized, but it's compatible with quantum mechanics if that's what you are asking. We don't have the same problems reconciling SR and quantum mechanics that we do with GR and QM. In fact, the appropriate branches of our current quantum theories (QFT - quantum field thoery, and QED, quauntum elelctrodynamics) are fully relativistic. We also have non-relativistic versions of quantum mechanics as well. Whether or not we quantize a theory is thus totally independent of whether or not it's relativistic.
in fact you will say yes but i don,t think so there are two reasons:
a)Lorentz transforms say that a particle travelling at light speed has length 0,when in quantum string theory is asumed that exists a minimum quantity lp distance...
I thought you were asking about SR and quantum mechanics? String theory is yet a third theory. Im fairly sure string theory is also compatible with SR, but I'm afraid I don't know the details. String theory should not be confused with quantum mechanics, however.
b)Dirac,s and Klein Gordon,s equation imply the existence of a metric,when you know that in quantum physics can not be a metric..
What is the real quantization of special relativity?.
The Dirac and Klein-gordon equations are an example of how one can do quantum mechanics relativistically. There is no difficulty with having a metric with quantum mechanics, or with SR. You are importing difficulties that only arise when trying to unify GR and QM into SR.
Can we general relativity, eeuhh, who am i to say yes or no ???
Let's just say this check out the string-thread. I personally recommend the LQG(Loop Quantum Gravity)-thread
regards
marlon
Just a quick note from the observational side ... QED ('QM+SR') makes very precise quantitative predictions, of which (AFAIK) *all* that have tested observationally and experimentally have passed with flying colours (= no inconsistency), and that includes some to 16 (18?) decimal places :surprised :surprised :surprised So far as precision is concerned, only the location of the source of certain radio emissions on some neutron stars* exceeds this level ... in ALL OF SCIENCE. (doesn't make it 'right', just sets a high bar for any alternative theory to clear).
*IIRC, several cm over thousands of parsecs.
Just a quick note from the observational side ... QED ('QM+SR') makes very precise quantitative predictions, of which (AFAIK) *all* that have tested observationally and experimentally have passed with flying colours (= no inconsistency), and that includes some to 16 (18?) decimal places :surprised :surprised :surprised So far as precision is concerned, only the location of the source of certain radio emissions on some neutron stars* exceeds this level ... in ALL OF SCIENCE. (doesn't make it 'right', just sets a high bar for any alternative theory to clear).
*IIRC, several cm over thousands of parsecs.
On a more general note, it is QFT that equals QM + SR. QED is a part of QFT, just like QCD is...
regards
marlon
If interested in the LQG approach to quantizing GR, see
http://www.physics.uc.edu/~qts3/Tsmolin.pdf
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