Why are there only two types of electric charge?

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SUMMARY

The discussion centers on the existence of only two types of electric charge: positive and negative. Participants explore the implications of this duality within the framework of the Standard Model of particle physics, particularly in relation to electromagnetic interactions and the mathematical representation of charge. It is noted that while electromagnetic interactions are described by a 1x1 matrix, other forces like strong interactions involve more complex structures, such as color charges. The conversation also touches on the nature of forces, explaining that scalar and tensorial particles yield only attractive forces, while spin-1 particles can produce both attractive and repulsive forces.

PREREQUISITES
  • Understanding of the Standard Model of particle physics
  • Familiarity with electromagnetic interactions and charge
  • Basic knowledge of matrix mathematics in physics
  • Concept of particle spin and its implications on force types
NEXT STEPS
  • Research the mathematical representation of electromagnetic interactions
  • Explore the concept of color charge in quantum chromodynamics (QCD)
  • Study the implications of particle spin on force interactions
  • Investigate hypothetical models of charge beyond the Standard Model
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Students of physics, educators in particle physics, and anyone interested in the fundamental forces and their mathematical descriptions.

Zedertie Dessen
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TL;DR
I've started to wonder about this the more I watch popular science videos about the Standard Model of particles physics and about matter and antimatter.
Why are there only two types of electric charge? I'm asking as a total layman in science.

I've started to wonder about this the more I watch popular science videos about the Standard Model of particles physics and about matter and antimatter. In particular, the various types of subatomic particles and the relative strengths of the fundamental forces. And also because one of the "forces," gravitation, has only one type, so to speak - attractive.

Do any practicing physicists think there is any way there could be more than just "positive charge" and "negative charge," or any way to construct a hypothetical standard model with more than two types of charge, or what the implications would be for n types of charge, etc.?

These are just my idle speculations but perhaps someone with actual training has given serious thought to them.

Thanks for any help!
 
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This is fundamentally about how electromagnetic interactions are described mathematically, which results in electric charge being a number and numbers can be negative or positive (or zero). Other interactions, such as weak or strong interactions, have a different structure that is more involved mathematically and indeed you have, to some simplification, six color charges in strong interactions (three colors - red, blue, green - that can be carried by quarks, and three anti-colors that can be carried by anti-quarks).
 
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To add to what Orodruin wrote, in general charges are described by matrices. Electromagnetism happens to be a 1x1 matrix, i.e. a number.
 
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Vanadium 50 said:
Electromagnetism happens to be a 1x1 matrix, i.e. a number.
but one can have a nxm negative matrix, a matrix whose entries are all negative numbers?
 
Why not?
 
"Why are there only two types of electric charge? "

Fair question. I'm still trying to grasp quarks' 1/3 & 2/3 charges...
 
Again, why not? Would it be easier to understand if electrons had 3 units of elementary charge?
 
The reason why some forces can be attractive and repulsive while others only attractive is due to the field that you use to describe the force. A force described by a scalar particle (spin 0) or tensorial particle (spin 2) are always attractive, like gravity (that's why we think that, if the graviton exists must have spin 2). If the force is described by a field of spin 1 (like the photon, W Z bosons and gluons) then the force can be attractive and repulsive depending on the charges.
 
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