Gravity affects quarks at the Planck length and Planck energy

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SUMMARY

Gravity becomes significant for quarks when they are separated by the Planck distance of approximately 10-33 meters. At this scale, the interplay between quantum mechanics and gravitation is crucial, as the Planck energy marks the threshold where gravitational potential energy and zero point energy converge. The discussion clarifies that while the Planck energy is often associated with black hole formation, it is primarily the Schwarzschild radius that governs such phenomena. Understanding these concepts is essential for comprehending quark interactions at extreme energy levels.

PREREQUISITES
  • Understanding of quarks and their properties (electric charge, mass, color charge, flavor)
  • Familiarity with Planck scale concepts (Planck distance, Planck energy, Planck mass)
  • Knowledge of gravitational potential energy and the Schwarzschild radius
  • Basic principles of quantum mechanics, including zero point energy and Compton wavelength
NEXT STEPS
  • Research the implications of Planck energy in quantum gravity theories
  • Explore the relationship between the Compton wavelength and particle conservation
  • Study the Schwarzschild radius in the context of black hole physics
  • Investigate current theories on particle interactions at the Planck scale
USEFUL FOR

Physicists, researchers in quantum mechanics and gravitation, and anyone interested in the fundamental interactions of particles at extreme scales.

g.lemaitre
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This comes form the wiki article on quarks:

Having electric charge, mass, color charge, and flavor, quarks are the only known elementary particles that engage in all four fundamental interactions of contemporary physics: electromagnetism, gravitation, strong interaction, and weak interaction. Gravitation is too weak to be relevant to individual particle interactions except at extremes of energy (Planck energy) and distance scales (Planck distance)

Does that mean that when two Quarks come as close to each other as the Planck distance 10-33m then gravity must be taken account if one is to understand their movement?

I know vaguely that the Planck energy is the point at which a black hole forms or something like that but I'm not really sure. Any advice would help out.
 
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Does that mean that when two Quarks come as close to each other as the Planck distance 10-33m then gravity must be taken account if one is to understand their movement?
More or less. Bearing in mind that what really happens at the Planck scale is sheer speculation...

If you confine a particle in a smaller and smaller region, its zero point energy increases. The Compton wavelength is the distance scale ~ħ/mc at which the zero point energy equals the rest mass, and therefore particle number is no longer conserved.

If you confine a mass in a smaller and smaller region, its gravitational potential energy increases. The Schwarzschild radius is the distance scale ~Gm/c2 at which the gravitational potential equals the rest mass.

The Planck scale (Planck distance, Planck mass, Planck energy) is where quantum mechanics and gravitation become equally important, i.e. when the Schwarzschild radius equals the Compton wavelength.
 

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