A Clifford Algebra-based mathematical model for the determination of critical temperatures in superconductors

In recent years, numerous strides have been taken towards to discovery of superconducting lattices, exhibiting the Meissner–Ochsenfeld effect, at increasingly higher temperatures. In this work, we present a novel and generalised mathematical formulation, which maps the atomic and structural characteristics of superconducting lattice structures to their critical temperature. This formulation models many-agent systems by representing them as spatially distributed networks in R^{4 , 1} Conformal Geometric Algebraic space. Using these higher-dimensional mathematical representations, we present generalised relationships between the critical temperature and basic atomic information, including crystal unit cell data, for an arbitrary lattice structure. Case studies have been presented for Nd₂Fe₂Se₂O₃, LiFeAs, LaOFeAs, Sr₂VO₃FeAs, Sr₂Mn₂CuAs₂O₂ and Ba₂YCu₃O₇.