ArXiv preprint by Petar Žugec compiles counterexamples to four field line misconceptions persisting since Faraday

The paper presents trivial counterexamples drawn from basic vector calculus to refute each misconception. Žugec shows that field lines are strictly mathematical constructs without physical force or trajectory properties, using uniform fields and simple solenoids as demonstrations. This directly targets plasma physics where field line interpretations shape reconnection models and confinement predictions.

Context from plasma literature reveals the error's impact: MHD simulations often treat field line density as proportional to |B|, leading to inconsistent energy estimates in tokamak edge plasmas. Related work in Jackson's Classical Electrodynamics and Alfvén's 1940s papers on cosmical electrodynamics perpetuates similar loose language without explicit correction.

Analysis indicates the misconceptions distort experimental interpretation in fusion devices and solar wind studies. Correcting them could refine diagnostics that rely on field line tracing, such as those in ITER divertor modeling. The preprint stops short of quantifying error propagation in existing codes.

Next steps require integration into plasma textbooks and simulation frameworks within three years to alter standard practice.