Mach's Principle in Particle Physics

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Discussion Overview

The discussion explores the applicability of Mach's Principle within the context of particle physics. Participants consider whether properties of particles, such as charge, can be attributed to the existence of other particles, and whether a version of Mach's Principle can be formulated that aligns with the standard model of particle physics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions if a version of Mach's Principle exists in particle physics, suggesting that properties like charge might be attributed to the existence of antiparticles.
  • Another participant discusses the implications of a particle having an antiparticle, mentioning that such particles are described by complex fields and suggesting that this leads to a U(1) symmetry and coupling to the electromagnetic field, though it does not determine the charge value.
  • A different viewpoint asserts that there is no valid version of Mach's Principle for gravity, which raises doubts about extending it to particle physics, referencing Brans-Dicke gravity as an example that does not hold up to observation.
  • One participant expresses a desire to find an analogue or modification of Mach's Principle for the standard model, while questioning whether particle properties are entirely due to interactions with other particles.

Areas of Agreement / Disagreement

Participants express differing views on the validity of Mach's Principle in relation to particle physics, with some suggesting potential analogues while others argue against its applicability, particularly in the context of gravity. The discussion remains unresolved regarding the existence of a Machian framework within particle physics.

Contextual Notes

Participants acknowledge limitations in the applicability of Mach's Principle to gravity, which may impact the exploration of its relevance to particle physics. There are also unresolved questions about the nature of particle properties and their dependence on interactions.

Eynstone
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Is there a version of Mach's Principle in Particle Physics? If yes, does it hold true?
A version could possibly look as follows: certain properties of a particle can be attributed entirely to the existence of other particles ( for instance, can the charge of a particle be attributed to the existence of its antiparticle?).
Thanks.
 
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well if a particle has an antiparticle that is not itself then it is described by some kind of complex field (i think?) then writing down a real Lagrangian will force you to introduce a U(1) symmetry (i think) which means that it you should probably couple it to the EM field since that is what always happens in the standard model. so yes if a particle is not its own antiparticle it will naturally couple to the EM field. Note however that this doesn't tell you the value of its charge, only that it should be charged.
 
IMO there isn't a version of Mach's principle that is true for gravity, so I'm not sure it makes sense to imagine expanding something that's not true for gravity into something that would be true for the standard model.

When I say it's not true for gravity, what I mean is that the best candidate anyone's found for a Machian theory of gravity is Brans-Dicke gravity with a small value of the constant omega. But B-D gravity with small omega is inconsistent with observation.
 
bobloblaw said:
well if a particle has an antiparticle that is not itself then it is described by some kind of complex field (i think?) then writing down a real Lagrangian will force you to introduce a U(1) symmetry (i think) which means that it you should probably couple it to the EM field since that is what always happens in the standard model. so yes if a particle is not its own antiparticle it will naturally couple to the EM field. Note however that this doesn't tell you the value of its charge, only that it should be charged.

I thought on similar lines. Although I'm aware that Mach's principle is not valid for gravity, I hope to find an analogue/modification of Mach's principle for the standard model.
Also, are the properties of a particle (such as spin, charge &c.) entirely due to its interaction with other particles?
 

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