This is what I meant by a thought-terminating answer. Magnetic field is not a "vector field" because a "vector field" is a math abstraction, while magnetic fiel

This is what I meant by a thought-terminating answer. Magnetic field is not a "vector field" because a "vector field" is a math abstraction, while magnetic field is real. Just like water is not a diff equation with boundary conditions, no matter how accurate that diff equation is.