Mach's Principle in Particle Physics

[Eynstone]

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.

 

[bobloblaw]

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.

 

[bcrowell]

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.

 

[Eynstone]

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?