Failure of Galilean relativity /variance of Maxwell's equations under Galilean transformation

Sequentially this is the first video of this series, where I talk about Galilean co-ordinate transformations not preserving Maxwell's equations, making them incompatible with electromagnetism. Although every book mention about this failure but none of them included any calculation, so I included the full mathematics here.
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[@Mintoomani]

This is the best and most easy way of derivation❤, you should deserve more views

[@cavendishcavendish1367]

I really appreciate your explanation sir, it's useful ❤❤❤❤❤

[@michaelpieters1844]

This derivation is completely wrong ever since Lorentz wrote it down in 1895 and everyone just blindly copies it. As most visual thinkers noticed it, the source point never is taken into account in this type of derivation. Include the source point, and Maxwell's equations are exactly Galilean Invariant.

[@ipwsintentionsofphysicswit1804]

Then provide a mathematical proof.

[@michaelpieters1844]

@@ipwsintentionsofphysicswit1804 Galilean non-invariance of Maxwell equations revisited by Hrvoje Dodig.

[@afiaafia2522]

You said that maxwell eqs remain unchanged under galelian transformation but Maxwell eqs are not invarient under galelian transformation

[@ipwsintentionsofphysicswit1804]

The whole video is about showing how it's not invariant under Galilean

[@afiaafia2522]

But your prove contain 2 eqs i.e gauss law in E and amperes law is varient under galelian transformation..check plzz

[@ipwsintentionsofphysicswit1804]

Yes, source equations will be affected. Since all 4 completes electromagnetism .. affecting any one will mean "variance".

[@afiaafia2522]

@@ipwsintentionsofphysicswit1804 it means E.M eqs in vacuum are invarient(do not vary) under galelian transformation but source eqs are varient..am i right??