Free Parameters In String Theory

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Discussion Overview

The discussion revolves around the concept of free parameters in string theory, exploring its foundational aspects, including the role of compactification and the implications for the Standard Model. Participants also touch on the energies required to probe string theory and its potential connections to known physical laws.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants mention that string theory initially has one free parameter, the length of the fundamental string, and that different compactifications introduce additional parameters.
  • There is a suggestion that compactification can be understood as 'rolling up' extra dimensions, with mathematical implications involving compact manifolds.
  • One participant notes that there are no dimensionless free parameters in string theory, contrasting it with the Standard Model, where mass ratios and coupling constants are fixed.
  • Some participants highlight the landscape problem in string theory, which involves the challenge of finding realistic configurations that correspond to our universe and the multitude of possible configurations leading to different universes.
  • Questions arise regarding the energies required to probe strings, with references to the Planck Scale and potential discoveries at the LHC, as well as the types of particle states that might emerge from string theory.
  • There is speculation about whether string theory could explain all known particle masses, QED, Newton's laws, and the principles of special and general relativity.
  • One participant states that no experimental evidence currently supports the existence of strings.

Areas of Agreement / Disagreement

Participants express differing views on the nature and implications of free parameters in string theory, with some agreeing on the existence of one initial parameter while others discuss the broader implications of compactification. The discussion remains unresolved regarding the specific outcomes and predictions of string theory.

Contextual Notes

Limitations include the lack of consensus on the implications of compactification and the absence of experimental evidence for string theory. The discussion also reflects varying levels of understanding and assumptions about the foundational aspects of the theory.

Who May Find This Useful

This discussion may be of interest to those studying theoretical physics, particularly in the areas of string theory, quantum mechanics, and cosmology, as well as experimental physicists exploring high-energy physics.

RoKo
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Hello to all:

I heard Michio Kaku talk on string theory recently and I thought I heard him say that the theory had no free parameters. But in thinking about the matter, I could not decide what that meant -- if it is true. Could someone please tell me what ingredients go into string theory? Are c, h and G taken to have the known experimental values, for instance?

Thank you for your help.

RoKo
 
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In string theory there is at first one free parameter: the length of the fundamental string.

Once we start trying different ways of compactifying the extra dimensions, all these different compactifications are sort of like parameters.
 
ExactlySolved said:
In string theory there is at first one free parameter: the length of the fundamental string.

Once we start trying different ways of compactifying the extra dimensions, all these different compactifications are sort of like parameters.

Okay. Thanks for the information. Could I ask you: When you say compactification, are you speaking of ways of rolling up the various dimensions? I have a fair understanding of quantum physics, but that's about it. I earned my Ph.D. in physics in 1980 -- back in the Dark Ages.

Thanks again.

RoKo
 
Yes, compactification could loosely be thought of 'rolling up the extra dimensions.' In mathematical terms there is a compact (closed and bounded) manifold attached to each point in spacetime.
 
ExactlySolved said:
Yes, compactification could loosely be thought of 'rolling up the extra dimensions.' In mathematical terms there is a compact (closed and bounded) manifold attached to each point in spacetime.

Many thanks.

RoKo
 
one should say I think "no dimensionless free parameters", c, G etc have dimension
 
malawi_glenn said:
one should say I think "no dimensionless free parameters", c, G etc have dimension

Thanks.

RoKo
 
RoKo said:
Thanks.

RoKo

so this is not the case in the standard model, where eg. mass ratios and coupling constants are fixed.
 
malawi_glenn said:
so this is not the case in the standard model, where eg. mass ratios and coupling constants are fixed.

You have been of much help. Thanks.

RoKo
 
  • #10
It might be fun to know that the "freedom of string theory" is one of the largest problems in string theory at the moment. People are trying to come up with realistic configurations (i.e. compactifications etc) which would give a description of the Standard Model and a positive cosmological constant (General Relativity itself already comes along quite natural, I think). The point is that different configurations lead to different excitation spectra of the strings and thus different universes.

But apart from the fact that a 'realistic' configuration has not been found, there is not even a mechanism known which explains why it's this particular configuration that corresponds to our universe. In some sense, string theoy provides way too many different ways of coming up with toy universes.

This is known as the landscape problem.
 
  • #11
xepma said:
It might be fun to know that the "freedom of string theory" is one of the largest problems in string theory at the moment. People are trying to come up with realistic configurations (i.e. compactifications etc) which would give a description of the Standard Model and a positive cosmological constant (General Relativity itself already comes along quite natural, I think). The point is that different configurations lead to different excitation spectra of the strings and thus different universes.

But apart from the fact that a 'realistic' configuration has not been found, there is not even a mechanism known which explains why it's this particular configuration that corresponds to our universe. In some sense, string theoy provides way too many different ways of coming up with toy universes.

This is known as the landscape problem.

Thanks very much.

Could I ask what kind of energies are involved to probe strings? Maybe your answer could be in Gev or Fermis -- as I am an experimentalist. And could I ask you to say a few words about what kind of particle states would be created by strings? And what do you think string theory might explain? Would all of the known particle masses come out of the theory? Would QED come out of the theory -- along with simple quantum mechanics? Would Newton's laws come out, along with special and general relativity?

What evidence now exists to support the existence of strings?

I am a former physics professor and am going to be on a national radio program this Friday. May use part of your answers on the air -- if I am asked any questions about string theory. My main focus on the program will relate to exotic physics phenomena to include scalar electromagnetic weapons.

Thanks again.

RoKo
 
  • #12
The energies are around the Planck Scale, like 10e19 MeV

However, String Theory 'predicts' extra dimensions to exists, and if they are "big enough" they might be discovered at LHC @ CERN.

String Theory requires special relativity, but as a result, general relativity will come out - as the weak limit of a higher order theory of relativistic gravity.

One hopes to solve/find QCD from string theory http://en.wikipedia.org/wiki/String_theory#Gauge-gravity_duality

No experimental observation supports strings so far.
 
  • #13
malawi_glenn said:
The energies are around the Planck Scale, like 10e19 MeV

However, String Theory 'predicts' extra dimensions to exists, and if they are "big enough" they might be discovered at LHC @ CERN.

String Theory requires special relativity, but as a result, general relativity will come out - as the weak limit of a higher order theory of relativistic gravity.

One hopes to solve/find QCD from string theory http://en.wikipedia.org/wiki/String_theory#Gauge-gravity_duality

No experimental observation supports strings so far.

Thanks much.

Best wishes,

RoKo
 

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