- #1

lukephysics

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- TL;DR Summary
- Complex numbers purpose?

I was thinking of investigating field theory because i like reading about quantum interpretations.

What role does complex numbers have in physics? I have a hard time seeing why properties of a point in that field are not just multi dimensional properties on some parameter space? Why start talking about real and imaginary stuff?

I come from machine learning so I understand high dimensional notions. I also come from writing 3d engines from scratch so I understand various spaces. eg. camera space, world space, object space, and how to transform and operate in all of these high dimensional regions.

So I cant make a leap to fit in such a thing as complex and real. i remember at uni years ago it was because complex numbers were a spherical coodinate system. which might be handy? but why do we need a spherical coordinate system when discussing parameter space in fields?

Thanks in advance!

What role does complex numbers have in physics? I have a hard time seeing why properties of a point in that field are not just multi dimensional properties on some parameter space? Why start talking about real and imaginary stuff?

I come from machine learning so I understand high dimensional notions. I also come from writing 3d engines from scratch so I understand various spaces. eg. camera space, world space, object space, and how to transform and operate in all of these high dimensional regions.

So I cant make a leap to fit in such a thing as complex and real. i remember at uni years ago it was because complex numbers were a spherical coodinate system. which might be handy? but why do we need a spherical coordinate system when discussing parameter space in fields?

Thanks in advance!