It is an idealized device combining a working inductor and a working capacitor but not a working resistor. Without the resistor, the device is ideally superconducting with perpetual current flowing with infinite conductance. This is a current of fractal space-time charges with less than 8 directional properties for each dual component but a total of 8 making up a square of energy as the product of stored inductive and capacitive energy. Two linked inducapators is linearly equivalent to one harmonic oscillator of quantum mechanics in real space-time instead of the usual complex space-time. The real domain always makes the value of the complex phase factor equals identically positive unity or identically negative unity but never identically zero.

Although the dual components of an inducapator formed a single port noncommutative Yang-Mills branch, two always formed a commutative 2-port Abelian network. Nevertheless, it will take 2 2-port Abelian networks to create a single neutrino, one H-plus and one H-minus. For a photon it takes 4 H-pluses and 4 H-minuses. For an electron it takes 7 H-minuses and 1 H-plus. These can be concisely described using singular symmetric Hadamard matrices representing the squares of energy of space-time charges as inverse partial fractions of absolute value of 1/6 for each fractal 2 by 2 submatrices of an infinite matrix of a sieve of Diophantus.