Canonical Frame of Reference on Symbolic Spheroids in Finite Fields of Prime Cardinality

We introduce a symbolic geometric model in which the arithmetic structure of a finite field Fp, with p an odd prime, induces a canonical frame of reference for a 2D spheroid embedded in a four-dimensional symmetry space. The symmetry axes are defined by three distinct primitive roots of the multiplicative group Fp, selected by extremal and geometric criteria. We prove that such a triad can always be constructed and that one of the primitive roots can be selected to yield a circular projection in a two-dimensional subspace.