Measuring Electric & Magnetic Fields: Uncovering the Mystery of Gauge Potential

AI Thread Summary
In electrodynamics, gauge potentials themselves are not measurable, but the electric and magnetic fields, which are derived from these potentials, are measurable. This raises the question of why measurable fields can arise from non-measurable gauge fields. The discussion draws a parallel to classical mechanics, where force is measurable while potential energy is not, suggesting that only differences in potential are directly measurable. Similarly, in electrodynamics, only the components of the curl of the gauge potentials are directly measurable. Further exploration and reading on this topic are encouraged for deeper understanding.
Lapidus
Messages
344
Reaction score
12
In electrodynamics, the gauge potentials are not directly measureable, but components of the field strength tensors, which are the electric and magnetic fields are.

But why are the electric and magnetic fields, the components of the curl of something not-measureable (the gauge fields) measurable?


thanks
 
Physics news on Phys.org
Let's go back to mechanics. Do you have a problem with force being measurable but potential energy not being measurable?
 
Good point.

So just as in classical mechanics only the difference in the potential is directly measurable, so are in electrodynamics only the components of the curl of the gauge potentials directly measurable.

I need to do some more reading and then come back with more questions...
 
Thread 'Question about pressure of a liquid'
I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...
Back
Top