Verify String/Hyperspace/HigherDimension Theory: TREMENDOUS ENERGy

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SUMMARY

The discussion centers on the necessity of tremendous energy, specifically Planck's energy, to verify String, hyperspace, and higher-dimensional theories. The Kaluza metric, when applied with the General Relativity (GR) Lagrangian, yields the Planck Mass, while a simpler Lagrangian results in the mass of an electron. The conversation references the introductory material on loop quantum gravity and highlights calculations accessible to undergraduate students. Key insights are drawn from the Physics forums, particularly regarding the implications of the Kaluza-Klein theory in understanding dimensions beyond the observable universe.

PREREQUISITES
  • Understanding of Kaluza-Klein theory
  • Familiarity with General Relativity (GR) Lagrangian
  • Basic knowledge of loop quantum gravity
  • Concept of Planck Mass and energy
NEXT STEPS
  • Study the Kaluza metric and its implications in higher-dimensional theories
  • Explore the General Relativity Lagrangian and its applications
  • Investigate loop quantum gravity principles and their relevance
  • Review the introductory materials on Kaluza-Klein theory in academic literature
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This discussion is beneficial for theoretical physicists, graduate students in physics, and researchers exploring advanced concepts in string theory and higher-dimensional models.

rbt
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Why do we require tremendous energy (equivalent to the Planck's energy) to verify String/hyperspace/higherdimension theory?
 
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I have also wondered about this.

I think the 'Introduction to loop quantum gravity' will help. Try dipping into the last page of the first post.The following is speculative:
My explanation is that when the Kaluza metric is used with the GR Lagrangian you get the Plank Mass. Klein then went on to explain that you did not see the 5th dimension as it was so small etc.BUT if you use Kaluza metric with the simple Lagrangian* then the mass is the mass of electron (if you are considering an electron). It all comes down to simple calculations that an undergraduate student could do.

The details are spelled out in
Physics help & Math help - Physics forums > Physics > Special & General Relativity (Simple Kaluza Klein question)
https://www.physicsforums.com/showthread.php?t=171945

where I have shown that

[tex]u^5 = d_{\tau}x^5 = (1 - A_{\alpha} u^{\alpha}q/m)[/tex]

So [itex]x^5 \approx \tau[/itex].

No one has said this explanation is on the right or wrong track yet - but this may be due to submitting my question in the wrong forum.* Lagrangian adapted from the super Hamiltonian, e.g. p 489 in Gravitation by Misner Thorne & Wheeler of 1970-1973 where charge q = -e or p 897 where charge q = +e!
 
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The states of interest only existed in the very early universe. The physics that emerged beyond the first ~.001 second are well understood thanks to particle accelerators and observations of the universe at large.
 

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