Why don't electrons turn into black holes?

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SUMMARY

The discussion centers on the nature of electrons as point particles and why they do not collapse into black holes. It highlights the equation F = GMm / r^2, which becomes undefined when applied to point particles due to their zero radius. Participants note that this formula is only valid for two distinct particles and emphasize the unresolved mysteries surrounding the true nature of electrons. The appeal of string theory is mentioned as a potential solution to these issues, suggesting that fundamental particles may be better represented as extended objects rather than points.

PREREQUISITES
  • Understanding of fundamental physics concepts, particularly point particles.
  • Familiarity with gravitational force equations, specifically F = GMm / r^2.
  • Knowledge of Compton wavelength and Schwarzschild radius.
  • Basic principles of string theory and its implications for particle physics.
NEXT STEPS
  • Research the implications of point particle theory in quantum mechanics.
  • Explore the relationship between Compton wavelength and Schwarzschild radius in detail.
  • Study string theory fundamentals and its proposed models for fundamental particles.
  • Investigate the current theories regarding the nature of electrons and their behavior in quantum field theory.
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Physicists, students of theoretical physics, and anyone interested in the fundamental nature of particles and the implications of quantum mechanics and general relativity.

zeromodz
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From my understanding electrons are point particles with zero volume, therefore zero radius.


F = GMm / r^2
F = GMm / (0)^2
F = ∞ N.


Can someone please explain?
 
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A point particle doesn't exert a force on itself. That formula only applies to two different particles.

In a broader sense, though, we really don't know why. You're right that treating electrons as point particles causes all sorts of problems. Their true nature is still somewhat mysterious. (This is/was the appeal of string theory, that the fundamental particles could be "strings" or other extended objects rather than points, which helps a lot of problems go away)
 
Because its Compton wavelength is bigger than its Schwarzschild radius.
 
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