TY - JOUR
T1 - London-Proca-Hirsch Equations for Electrodynamics of Superconductors on Cantor Sets
AU - Christianto, Victor
JF - Evolving Trends in Engineering and Technology
VL - 4
SP - 1
EP - 7
SN - 2349-915X
PY - 2015
PB - SciPress Ltd.
DO - 10.18052/www.scipress.com/ETET.4.1
UR - http://www.scipress.com/ETET.4.1
KW - Cantor Sets
KW - Electrodynamics
KW - Hirsch Theory
KW - Local Fractional Vector Calculus
KW - London Equations
KW - Maxwell Equations
KW - Proca Equations
KW - Superconductor
AB - In a recent paper published at Advances in High Energy Physics (AHEP) journal, Yang Zhao et al. derived Maxwell equations on Cantor sets from the local fractional vector calculus. It can be shown that Maxwell equations on Cantor sets in a fractal bounded domain give efficiency and accuracy for describing the fractal electric and magnetic fields. However, so far there is no derivation of equations for electrodynamics of superconductor on Cantor sets. Therefore, in this paper I present for the first time a derivation of London-Proca-Hirsch equations on Cantor sets. The name of London-Proca-Hirsch is proposed because the equations were based on modifying Proca and London-Hirschâ€™s theory of electrodynamics of superconductor. Considering that Proca equations may be used to explain electromagnetic effects in superconductor, I suggest that the proposed London-Proca-Hirsch equations on Cantor sets can describe electromagnetic of fractal superconductors. It is hoped that this paper may stimulate further investigations and experiments in particular for fractal superconductor. It may be expected to have some impact to fractal cosmology modeling too.
ER -