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Let us consider what field " blobs" can be, moving at the speed of light in a certain direction while maintaining their shape.
What is a field blob
moving at the speed of light
"blobs"...moving in a certain direction while maintaining their shape
Field objects moving at the speed of light?
An object with bigger energy density at the centre and much more sparce with a distance.
Perhaps such structure have emissions of atoms during the transitions of electron clouds to less energetic levels.
The only things that can move at exactly the speed of light are massless particles
The following symbols are used:Scalar potential = a
1. With circular electric field.Aφ' = - c · ∂Aφ/∂z = - Eφ→ Eφ = c · ∂Aφ/∂z→ ∂Eφ/∂z = c · ∂2Aφ/∂z2 ......... etc......
This is usually dentoted as φ instead of a.Later on you do then use the symbol φ
There's no obvious question here
Did you really mean they emit entire whole atoms or just that they (these "field blobs") have emissions that are similar to the sort of emissions you get from atoms
More details are described in the topic:https://www.thenakedscientists.com/forum/index.php?topic=85274.0
You say "E is not the scalar potential gradient". The definition of E is E=∇V. Your use of "E" is meaningless.
In the absence of time varying fields, E=-∇V