Is there proof in Nature that electric field lines are not repulsive? Yes. In the transverse electromagnetic wave, both the electric and magnetic field lines are well behaved, non-repulsive, parallel (not warped) field lines that are orthogonal to the direction of propagation. Hiding in plain sight!
Physics is by consensus! In gravitational theories we have three accords, Relativity, Strings & Quantum (RSQ) theories. Like a board of directors, the physics community, based on empirical evidence, agree to disagree on how Nature works. Nature, herself, has only one vote, and it is a veto.
Three great unsolved mysteries remain, and they are the same riddles asked by ancient Greek philosophers: What is the universe made of? Where did the universe come from? How do we know what's real?
But in the last half century or so, a great many theories either cannot be proven through gathering evidence or barely can be.
I was happy to attend the White House ceremony on May 7 to sign the agreement between the U.S. and the European Organization for Nuclear Research (CERN) to renew the collaboration in particle physics and advanced computing.