What Is the Origin of Charge in Physics?

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SUMMARY

The origin of charge in physics is fundamentally linked to the properties of particles and their interactions within quantum fields. Charge is an innate property, similar to mass, and is conserved according to Noether's theorem, which relates it to specific symmetries in physical systems. The concept of charge can be understood through the framework of quantum mechanics, particularly in relation to U(1) symmetry, where electric charge arises from the multiplication of wavefunctions by a complex phase factor. This discussion emphasizes that while the source of charge remains a profound question in theoretical physics, it is recognized as a characteristic of particles rather than a derived property.

PREREQUISITES
  • Understanding of quantum mechanics and wavefunctions
  • Familiarity with Noether's theorem and its implications
  • Knowledge of U(1) symmetry in physics
  • Basic concepts of particle physics and field theory
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  • Research the implications of Noether's theorem in various physical theories
  • Study the role of U(1) symmetry in electroweak interactions
  • Explore the concept of quantum fields and particle condensation
  • Investigate the relationship between charge and other fundamental forces
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This discussion is beneficial for theoretical physicists, students of quantum mechanics, and anyone interested in the foundational concepts of charge and its role in the universe.

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I'm just wondering, and unable to find the answer anywhere on the web

where does charge come from?

is it just a property and not even a "thing" and therefore can't be determined the source of something else. so does charge come from mass? ie gravitational pull
 
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Charge doesn't "come" from anything, to our knowledge. But charge is a lot like mass - in fact i think that's probably the best way to think about it.
It seems to be just an innate property of things in the universe; either they have charge (and some amount of it) or they don't. One of the big questions in theoretical physics is "where do things like mass and charge come from?"
 
It may be helpful to consider that particles are condensations in an underlying quantum field. Once you have embraced that, the charge and spin of particles can be seen as permissible states (or possible states) of these condensations. We should not have to question why every single electron or every single proton manages to assume a particular charge, though it would be very enlightening to learn how/why the quantum field constrains the values of those charges...
 
Generally, charge can be defined as something that is conserved. According to Noether's theorem, it may be associated to a particular symmetry. In the case of electric charge, it follows from the symmetry action when the wavefunction/field is muliptlied by a complex phase e^{i \varphi}, and is sometimes known as a U(1) charge.
 
lbrits said:
Generally, charge can be defined as something that is conserved. According to Noether's theorem, it may be associated to a particular symmetry. In the case of electric charge, it follows from the symmetry action when the wavefunction/field is muliptlied by a complex phase e^{i \varphi}, and is sometimes known as a U(1) charge.

According to Wikipedia:

In quantum mechanics, a phase factor is a complex coefficient eiθ that multiplies a ket or bra . It does not, in itself, have any physical meaning, since the introduction of a phase factor does not change the expectation values of a Hermitian operator. [1]

^ Messiah (1999, p. 296)
 
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