The Dark Matter Ratio Seven Minus the Golden Ratio A zero-parameter prediction from spacetime dimensionality and causal processing self-similarity

The ratio of dark matter to baryonic matter in the universe is derived from two inputs: the number of spatial dimensions (D= 3) and the golden ratio (ϕ= (1 + √5)/2). The physical metric of (3 + 1)-dimensional spacetime has 6 independent degrees of freedom. The scalar entropy field of the Relational-Structural Framework captures 1/ϕ of these (not exactly 1), because the non-linear kinetic term at the cosmological processing floor reduces the scalar field’s effective coupling by the golden-ratio factor. The remaining 6−1/ϕ= 5.382 degrees of freedom are structural entropy, which gravitates as cold dark matter. 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.