Abstract: In classical physics, fields such as the electromagnetic, and gravitational fields are defined by path independent scalar potentials. These potentials, due to the conservative nature of the fields, turn out to abide by the path independence theorem of complex analysis. In addition, when being acted upon by a conformal mapping, the result is still a path independent potential. This has certain implications as to the nature of the space in which physics is performed and, therefore, the space in which we exist.