# Symmetry associated with conservation of electric charge.

• azabak
In summary, symmetry associated with conservation of electric charge is a fundamental principle in physics that states the total electric charge of a closed system remains constant over time. It is important because it helps us understand and predict the behavior of electrically charged particles and plays a crucial role in many physical laws and equations. This symmetry is related to other conservation laws, such as the conservation of energy and momentum, and cannot be violated as it is a fundamental law of nature. It is also the mathematical expression of the concept of charge conservation, stating that the total amount of electric charge in a system cannot change.
azabak
What symmetry of nature yields the conservation of electric charge?

azabak said:
What symmetry of nature yields the conservation of electric charge?

Gauge symmetry of EM (arbitrariness of electric potential up to an additive constant and equivalently phase shift invariance of wavefunction in QM).

Thank you.

## 1. What is symmetry associated with conservation of electric charge?

Symmetry associated with conservation of electric charge is a fundamental principle in physics that states that the total electric charge of a closed system remains constant over time. This means that the amount of positive charge in a system will always equal the amount of negative charge, and the total charge will not change unless it is affected by an external force.

## 2. Why is symmetry associated with conservation of electric charge important?

Symmetry associated with conservation of electric charge is important because it helps us understand and predict the behavior of electrically charged particles. It also plays a crucial role in many physical laws and equations, such as Coulomb's law and Gauss's law.

## 3. How is symmetry associated with conservation of electric charge related to other conservation laws?

Symmetry associated with conservation of electric charge is related to other conservation laws, such as the conservation of energy and the conservation of momentum. This is because all of these laws are based on the principle that certain quantities, such as charge, cannot be created or destroyed, only transferred or transformed.

## 4. Can symmetry associated with conservation of electric charge be violated?

No, symmetry associated with conservation of electric charge is a fundamental law of nature and has been observed to hold true in all known physical processes. Any apparent violations of this symmetry are likely due to measurement errors or incomplete understanding of the system.

## 5. How does symmetry associated with conservation of electric charge relate to the concept of charge conservation?

Symmetry associated with conservation of electric charge is the mathematical expression of the concept of charge conservation. Charge conservation states that the total amount of electric charge in a system cannot change, and symmetry is the principle that governs this conservation. In other words, symmetry associated with conservation of electric charge provides a way to mathematically describe and understand the conservation of charge in physical systems.

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