This paper models a left-handed system by finite inductively interacting elements. To separate the internal energy a generic double spectral parametrization is proposed. The microcanonical formalism analytically allows to derive the entropy, temperature and heat capacity in each energy set. Particularly, the heat capacity was found to be negative at high energies. These analytical findings are supported through numerical results. Interestingly, numerically the heat capacity of the system seems to decline when increasing internal energy in both sets. (C) 2016 Elsevier B.V. All rights reserved.