you should make geometric attempts in order to "link" them to our empty space.
It's tricky. I've drawn things like this, but they're flat 2D pictures. 3D animations is what we need.
The thing on the left is trying to depict a photon. It isn't some billiard ball thing, it's a wave in space. Space waves. The thing on the right is trying to depict an electron. The electromagnetic field is a place where space is twisted. This is unfamiliar to most people, but the electromagnetic field isn't totally unlike the gravitomagnetic field. See the NASA GPB article by Tony Phillips where you can read that space is twisted. Also see the gravity probe B video:
Frame-dragging still image from the gravity probe B video by Bob Kahn, James Overduin, Lee Kolb, and Greg Trent
Nice attempt to not decorrelate mathematical toughts from your geometric projections, the great Einstein knew how to do it too.
Thanks. I've read a lot of Einstein's material. I take note of what he said in his 1929 essay on the history of field theory, He said a field is a state of space. In his Nottingham lecture in 1930 he said space “remains the sole medium of reality”. It's like Clifford's space theory of matter.