SpiralHelios: Deterministic Symbolic-Vector Engine — Reproducible Execution Record

SpiralHelios is a deterministic symbolic-vector computation engine that maps textual input into a fixed high-dimensional geometric state. The system operates without training procedures, statistical inference, parameter optimization, or adaptive behavior. Identical input always produces identical output across executions and hardware environments. This record does not constitute a software publication.It constitutes a behavioral identity disclosure of a computational process. The material presented here documents the observable execution behavior of the system through cryptographic fingerprints derived from controlled deterministic runs. The included dataset hash, script hash, and master proof hash bind the observable behavior to a unique computational identity. The fingerprints uniquely characterize the execution of the transformation rather than its implementation. The internal mathematical mechanism is intentionally undisclosed; however, the resulting behavior forms a stable, reproducible computational signature. Any independent implementation claiming equivalence must reproduce the identical fingerprints under identical input conditions. Divergence of fingerprints implies a different computational mechanism regardless of conceptual similarity. The publication therefore functions as a timestamped existence proof of a deterministic semantic transformation and establishes prior public evidence of its operational behavior without revealing the underlying method. This entry records the presence of a deterministic geometric semantic mapping system whose identity is defined by reproducible behavior rather than disclosed construction. Author:Christos Baltas (PH-GAIOS) ORCID:https://orcid.org/0009-0000-9743-3678 Contact:[email protected] Zenodo Community:https://zenodo.org/communities/spiral-code-energy/