2026-10-04 Google Scholar
Queries: 1. https://scholar.google.com/scholar?q=%22van+Vlaenderen%22+scalar+field+longitudinal 2. Citing list of the 2001 Hadronic Journal paper: https://scholar.google.com/scholar?cites=16875509640435702063 (first page of 99 only)
Citation counts shown [web]: van Vlaenderen and Waser 2001 Hadronic J., cited by 99; arXiv physics/0305098 (2003), 25; "18 Electrodynamics with the scalar field" (book chapter, 2016), 29; "General classical electrodynamics" (2016), 5; 2015 N3LM paper, none shown.
Works building on or citing the author (first pages only) [web]: - A.I. Arbab and Z.A. Satti, "On the generalized Maxwell equations and their prediction of electroscalar wave", Progress in Physics 2009 (60 citations). The snippet says the author's equation (35) "would become identical to our Eq.(43)". - A.I. Arbab, "The analogy between matter and electromagnetic waves", EPL 2011 (44); "Extended electrodynamics and its consequences", Mod. Phys. Lett. B 2017 (27), which says it gives "a full account for the physical meaning of the scalar function appearing in van Vlaenderen..."; "Quantized Maxwell's equations", Optik 2017. - V.M. Simulik, "Longitudinal electromagnetic waves in the framework of standard classical electrodynamics", arXiv:1606.01738 (2016). Discusses van Vlaenderen and Waser [24]. - L.M. Hively and G.C. Giakos, "Toward a more complete electrodynamic theory", Int. J. Signal and Imaging Systems Engineering 2012 (43); L.M. Hively and A.S. Loebl, "Classical and extended electrodynamics", Physics Essays 32(1):112-126 (2019); D. Reed and L.M. Hively, "Implications of gauge-free extended electrodynamics", Symmetry 12:2110 (2020). - G. Modanese, "Generalized Maxwell equations and charge conservation censorship", Mod. Phys. Lett. B 2017; Modanese, "Time in quantum mechanics and the local non-conservation of the probability current", Mathematics 2018; Minotti and Modanese (EPJ C 2023, Mathematics 2025). - E.I. Nefyodov and S. Smolskiy, "Electromagnetic fields and waves", chapter in a Springer textbook (2019), which cites the 2001 paper.
Bearing
Priority 2/3. The 2001 scalar-field paper (claims 1-2) has a citation trail into mainstream-indexed journals (EPL, EPJ C, MPLB, Optik, Symmetry). Citations show influence, not agreement. Each citing work must be read to see whether it endorses, extends or criticises. Later runs should page through all 99 citing works.