Abstract: A deterministic encryption key generating method along with a cryptographic system is disclosed. The systems method uses the intersection of an equation representing a polynomial or quadratic (PQ-Equation) with a secure and secret 3-dimensional mathematical geometric shape, or manifold, to generate an ephemeral symmetric encryption key. Digital objects, files, and data can be cryptographically secured using this process with a unique per-file or per-data object key, which is destroyed after each use. The process combines coefficients of a PQ-Equation mapped onto the manifold to create or recreate the key from an identifier, for instance values for the PQ-Equation. PQ-Equation coefficients are stored with the protected file, accessible via the client and transmitted to the computational server possessing the secret manifold.