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GarageDweller
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I understand that the EM tensor is a way of expressing the electromagnetic field in a frame invariant way, but how is it derived? Please use the (-+++) convention as I mostly use that.
GarageDweller said:I understand that the EM tensor is a way of expressing the electromagnetic field in a frame invariant way, but how is it derived? Please use the (-+++) convention as I mostly use that.
I'm not sure that there is any qualitative explanation. You have a mathematical object, you prove that it is a tensor, you use it to write an equation that expands to Maxwells equations, therefore it is the field tensor.GarageDweller said:Im looking for a more qualitative explanation for this, so far all articles have ignored the logic and jumped to the maths.
DaleSpam said:I'm not sure that there is any qualitative explanation. You have a mathematical object, you prove that it is a tensor, you use it to write an equation that expands to Maxwells equations, therefore it is the field tensor.
The electromagnetic tensor is a mathematical object that describes the electromagnetic field in terms of its components. It is a fundamental concept in electromagnetism and is used to explain how electric and magnetic fields interact with each other.
The electromagnetic tensor is derived from Maxwell's equations, which are a set of fundamental equations that describe the behavior of electric and magnetic fields. By combining these equations, the electromagnetic tensor can be constructed to fully describe the electromagnetic field.
The electromagnetic tensor has 16 components, which are arranged in a 4x4 matrix. These components represent the electric and magnetic fields in both space and time. The diagonal components represent the electric field, while the off-diagonal components represent the magnetic field.
The electromagnetic tensor is derived using mathematical techniques, including vector calculus and tensor algebra. It involves combining Maxwell's equations and applying the Lorentz transformation to account for the effects of relativity. This results in a set of equations that describe the components of the tensor.
The electromagnetic tensor is used in a wide range of practical applications, including the design of electronic devices, the development of communication technologies, and the study of electromagnetic radiation. It is also used in theoretical physics, such as in the theory of general relativity, to describe the behavior of electromagnetic fields in curved space-time.