PRIMBIT and the Spherical Engine Family: Public Provenance and Technical Fingerprint Record

This deposit establishes a public provenance record for PRIMBIT and a family of spherical, geometric, modal, and computational research engines developed under the direction and authorship of Edgar Marcelo Quiroz Robles. The record documents the relationship between the arithmetic/spectral PRIMBIT framework and subsequent Spherical Engine research branches developed through PRIMBIT-guided iterative investigation. It provides selected non-enabling technical fingerprints intended to identify the existence, continuity, and distinctive technical character of these research architectures without disclosing their confidential implementation. The documented research family includes spherical modal computation, axis/sphere/Grassmannian geometric structures, qudit-related spherical operator structures, multi-sphere spectral computation, and geometric memory/process research branches. A separate SHA-256 manifest included in this deposit provides cryptographic commitments to a larger private source corpus containing detailed development records, calculations, iterations, and technical specifications. Those source files remain confidential. Internal operators, transformation rules, coupling mechanisms, Hamiltonians, gate-synthesis procedures, implementation architecture, algorithms, parameters, source code, calibration procedures, complexity-reduction mechanisms, and other proprietary technical details are intentionally withheld from this public archival version. The mathematical and computational materials documented here form part of an ongoing research programme. This record does not claim that universal quantum computation, computational advantage over conventional classical simulation, or physical implementation without quantum hardware has already been experimentally established. This deposit is intended to establish public research provenance, authorship attribution, technical continuity, and an archival timestamp. It makes no allegation regarding any third party.