Naked Singularities: Questions on Fund. Particles as Black Holes

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SUMMARY

This discussion centers on the hypothesis that fundamental particles, such as electrons, may be considered as naked singularities due to their charge-to-mass ratio exceeding unity (q+a > m). Key questions include the physical implications of naked singularities, particularly regarding closed time loops and the stability of rotating black holes. The conversation also touches on the potential for serious research into the concept of micro black holes and the conditions under which rotating black holes emit Hawking radiation. The participants explore the gravitational and centrifugal forces acting on these singularities and their implications for general relativity.

PREREQUISITES
  • Understanding of general relativity and its implications for black holes
  • Familiarity with the concepts of charge and mass in the context of black holes
  • Knowledge of Hawking radiation and its relation to black hole thermodynamics
  • Basic grasp of centrifugal force and its effects on rotating systems
NEXT STEPS
  • Research the implications of naked singularities in theoretical physics
  • Study the conditions under which micro black holes may exist and their characteristics
  • Examine the temperature equations for rotating, charged black holes
  • Investigate the stability criteria for rotating black holes and their relation to general relativity
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and researchers interested in black hole physics and the fundamental nature of particles. It is particularly relevant for those exploring advanced concepts in general relativity and quantum gravity.

michael879
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I have a few questions about these. My main question concerns the "theory" that all fundamental particles are actually black holes. If this were the case, at least for an electron, they would be naked singularities because q+a > m.

1) What are the effects of a naked singularity that make people assume its physically impossible? i.e. I know about closed time loops, but at what range do they occur? Is it only inside of a ring singularity?

2) I understand qualitatively why a charged black hole can not be naked, because when q>m the repulsion due to the charges is stronger than the attraction of gravity. However for a rotating black hole, is there anything qualitatively that stops it a from exceeding m? From what I understand the centrifugal force due to the rotating ring singularity decreases as a increases so this does not explain it.

3) Is there any serious research going into viewing fundamental particles as micro (sub-planck really) black holes? Its a really interesting theory and I am wondering if anyone actually views it as a possibility.

4) On the wikipedia page for micro black hole electrons, they mention that rotating black holes with certain angular momentum will not have hawking radiation. Is this true? Does anyone know the temperature equation for a rotating, charged black hole?
 
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so as far as 2) is concerned I think I found an answer. One way to explain charged or spinning black holes having a limit in charge or angular momentum is to find when the gravitational force is exceeded by some repulsive force. This explanation is obvious for the charged black hole, and less so for the rotating one. I think I did find the answer though.

dF_g = G * dM * M / (2*a^2) (force of gravity)
dF_c = dM * c^2 / a (centrifugal force)

I found that the ring singularity will become unstable if a > 1/2 * GM/c^2. The factor of 1/2 conflicts with GR, so either this classical approach simply doesn't work or I screwed up somewhere in my calculations.
 

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