The grid has a problem.
Four edges have had their signs flipped, creating tangles.
The circles detect tangles.
Each circle walks its loop clockwise, adding edges that point with the walk and subtracting edges that point against:
Green 0 = clean.
Red number = tangled.
Click edges to flip them.
Find the four bad edges and flip them back. When all circles show 0, you've found the vacuum state.
Use the overlaps.
Each edge affects multiple circles. Cross-reference to narrow down which edges are wrong.