Neutrino Mass Sum from Spacetime Dimensionality A prediction of the Relational-Structural Framework

The Relational-Structural Framework identifies dark matter as the structural entropy of the causal graph — the information content of spacetime's topological degrees of freedom. In (D+1)-dimensional spacetime, the physical metric has (D+1)D/2 independent degrees of freedom. The scalar entropy field captures one. The remaining (D+1)D/2 1 are structural entropy, − which gravitates as cold dark matter. For D = 3: the predicted dark matter ratio is Ωstruct/Ωb = 5. The observed ratio Ωcdm/Ωb = 5.36 exceeds this by 0.36, which is attributed to massive neutrinos. This yields a zero-parameter prediction: Σmν = (Ωcdm/Ωb 5) × ωb × 93.14 eV = 0.76 eV (or 0.34 eV if the h² − correction applies — see Section 5). The prediction is verified against the Planck CMB power spectrum using the CLASS Boltzmann code and is falsifiable by DESI, Euclid, and CMB-S4 within the coming decade. DISCLAIMER Generative AI was used to assist with literature screening / coding support / draft language revision. All AI-assisted outputs were independently checked by the author, and the author takes full responsibility for the final analysis and text. This is encompassing all the work that has been done and will be done. All code is under MIT licensing. All research papers are under Creative Commons License. All code, outputs and notes are included in the reproducibility bundle zip file.