Is gravity more fundamental than EM?

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SUMMARY

The discussion centers on the relationship between gravity and electromagnetism (EM), specifically questioning why gravity is not considered a more fundamental force despite the emission of virtual gravitons by photons. It highlights that the coupling of particles, such as a photon emitting a graviton, is permissible under certain symmetries, while the reverse coupling is not due to the graviton's singlet status under U(1)EM. This indicates that the fundamental nature of a force is not solely determined by its coupling properties but rather by the underlying symmetry groups of the theory.

PREREQUISITES
  • Understanding of particle physics and quantum field theory
  • Familiarity with gauge invariance and symmetry groups
  • Knowledge of virtual particles and their interactions
  • Basic concepts of electromagnetism and gravitation
NEXT STEPS
  • Research the role of U(1) gauge symmetry in particle interactions
  • Explore the implications of virtual particles in quantum field theory
  • Study the differences between fundamental forces in the Standard Model
  • Investigate the concept of graviton and its theoretical properties
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Physicists, students of theoretical physics, and anyone interested in the foundational aspects of force interactions in quantum mechanics.

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If photons emit virtual gravitons (but gravitons don't emit virtual photons) why isn't gravity considered to be a more fundamental force?
 
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Suppose a particle A 'emits' some other particle B (real or virtual). This is NOT to say that A is composed of or can be represented by B in any sense. Rather it means that there exists a coupling AAB (incoming A, outgoing A, outgoing B) in your theory. Say A is the photon and B is the graviton. AAB is an allowed coupling in your theory because it does not violate any of the symmetries that you might want. On the other hand, the coupling BBA is not allowed because B, the graviton, is a singlet under U(1)EM (i.e. it has no electric charge), so such a coupling would break U(1)EM gauge invariance, a symmetry of the theory related to charge conservation. In short, whether some A can emit some B depends on the representation of that particle in terms of the symmetry groups of the theory, and this has nothing to do with whether one is more 'fundamental' than the other.
 

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