Dark Matter as Structural Entropy of the Causal Graph Unifying dark matter and modified gravity within the Relational-Structural

The dark matter vs modified gravity debate is resolved by recognising that both phenomena arise from the same source: the entropy of the causal graph. The graph has two kinds of entropy. Baryonic entropy is emitted by matter through the Landauer principle and produces Newtonian gravity. Structural entropy is the information content of the graph's own topology—its nodes, edges, and connectivity patterns—and gravitates by the framework's own principles without coupling to photons. Structural entropy is pressureless, collisionless, and cold: it is functionally identical to cold dark matter. At cosmological scales (the CMB), structural entropy provides the static potential wells that create the acoustic peak odd-even asymmetry, reproducing the LCDM power spectrum. At galactic scales, the non-linear processing floor activates, producing MOND phenomenology (flat rotation curves, the Tully–Fisher relation, the External Field Effect) on top of the structural entropy background. Dark matter is not a substance but a property of spacetime: the information content of the causal structure. Modified gravity is the non-linear processing of that information. The forty-year conflict between dark matter and MOND dissolves: they are the same framework viewed at different scales. 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.