Why is a black hole with q>e singular?

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Discussion Overview

The discussion centers around the properties of black holes, specifically addressing the implications of charge in relation to singularity formation. Participants explore the relationship between charge, mass, and the conditions necessary for a black hole to form, considering both theoretical and conceptual aspects.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants propose that a black hole with charge q greater than the electron charge e might avoid singularity due to the repulsive nature of like charges.
  • Others argue that the formation of a black hole is primarily governed by gravitational forces overcoming degeneracy pressure, suggesting that charge does not prevent singularity.
  • A participant mentions that even in a collapsed state, any net charge retains a property of repulsion, questioning the behavior of electromagnetic forces within a singularity.
  • There is a query about whether a minimum net charge/mass relation exists for collapsing matter to form a black hole, indicating uncertainty about the conditions required for singularity.
  • Another participant clarifies that there is no minimum mass for a black hole, although stellar evolution imposes a minimum mass, and that charge does not factor into this requirement.
  • One participant explains that q>e means the net charge is at least twice the electron charge, emphasizing the implications of charge repulsion in the context of black hole formation.
  • Discussion includes the Planck mass as a reference point for the minimum mass of a black hole, derived from fundamental constants.

Areas of Agreement / Disagreement

Participants express differing views on the role of charge in black hole singularity formation, with no consensus reached regarding the implications of charge on avoiding singularity or the existence of a minimum charge/mass relation.

Contextual Notes

Participants note the potential limitations of applying the inverse square law within a singularity and the complexities surrounding the definitions of charge and mass in the context of black hole physics.

Loren Booda
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Black holes have the properties of angular momentum, mass, and charge. Since electromagnetism is a much stronger inverse-square force than gravity, and like charges repel, wouldn't a black hole with charge q>e avoid singularity?
 
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No, this is how a black hole is formed, i.e. the gravitational pull of the star becomes greater than the degenracy pressure caused by electromagnetism and the like.
 
Even when a mass is collapsed beyond degeneracy to neutronium, any net charge its eventual "singularity" harbors still retains the property of predominant repulsion.
 
Originally posted by Loren Booda
Black holes have the properties of angular momentum, mass, and charge. Since electromagnetism is a much stronger inverse-square force than gravity, and like charges repel, wouldn't a black hole with charge q>e avoid singularity?

Well Loren,..who says inverse square law holds true inside a singularity?:wink:

Creator
 
Creator,
One must achieve the singularity first. In other words, can you derive a minimum net charge/mass relation for collapsing matter to attain a black hole?
 
Last edited:
Originally posted by Loren Booda
Creator,
One must achieve the singularity first. Is there a minimum net charge/mass for attaining a black hole?

Beats me; I've not heard of such a calculation. However, even before going singular 1/r^2 likely becomes deficient.

Creator
 
Last edited:
What does q>e mean ?
 
Originally posted by Loren Booda
Creator,
One must achieve the singularity first. In other words, can you derive a minimum net charge/mass relation for collapsing matter to attain a black hole?

There is no minimum mass needed for a black hole (though obviously one formed by steallr evolution has a minimum mass)and charge doesn't enter into it.
 
bogdan, q>e means the net collapsing discrete charge, q, is at least 2 times the electon charge, e, in order for like charges to repel.

jcsd, the minimum mass for a black hole is M*, the Planck mass. This quantity derives from the absolute radiative constants c, G and h. Only quanta or their composites weigh less.
 

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