This dataset is part of the Bicameral Solar Engine project, a multi-scalar deterministic framework that maps the relationship between solar harmonic cycles and terrestrial systems including climate, economics, and biological populations. Tests whether the BSE deterministic solar harmonic model is physically grounded in Alfvén's MHD framework. Reports five tests against the WSO HCS tilt angle record — three confirmations and two null results. Null results establish that the BSE fundamental period is a dynamo phenomenon carried by Alfvén waves, not generated by them. Confirms the 0.88-year Heliospheric Propagation Constant as an expression lag in direct magnetometer measurements. CC BY-NC-N This dataset and associated work are licensed under CC BY-NC-ND 4.0. The material may be shared with proper attribution but may not be modified, adapted, or used for commercial purposes. If you intend to use this dataset in research, analysis, or publication, you are expected to cite the original source and are strongly encouraged to contact the author prior to use. Contact:: nkhanworkbox@gmail.com | ORCID: https://orcid.org/0009-0003-0093-521X