{"title":"The Emergent Law","entities":407,"relations":711,"theorems":87,"types":{"assumption":5,"corollary":54,"definition":33,"theorem":87,"lemma":53,"proposition":21,"construction":1,"postulate":3,"axiom":4,"remark":146},"crowns":[{"id":"SEST","title":"Stochastic Embedding Sufficiency Theorem","importance":"★★★"},{"id":"B_T6","title":"Self-Consistent Nelson SDE for the KG Density","importance":"★★★"},{"id":"C_T2","title":"The Gravitational Diffusion Theorem","importance":"★★★"},{"id":"D_T4","title":"Uniqueness of σ within A1–A4","importance":"★★★"},{"id":"E_T4","title":"Galactic-Scale Fokker--Planck Equation","importance":"★★★"},{"id":"F_T4","title":"Generalised Effective Dimensionality","importance":"★★★"},{"id":"G_T1","title":"1D Fokker--Planck Eigenvalues","importance":"★★★"},{"id":"H_T2","title":"The Fokker--Planck Filtering Theorem","importance":"★★★"},{"id":"I_T1","title":"The Virial Absorption Theorem","importance":"★★★"},{"id":"J_T5","title":"First-Principles Closure from Information-Theoretic Bounds","importance":"★★★"},{"id":"K_T7","title":"NESS master equation from the FP operator","importance":"★★★"},{"id":"L_T14","title":"Quantitative closure for the OC probe","importance":"★★★"},{"id":"M_T1","title":"Lensing-gas offset from differential η","importance":"★★★"}],"sympy":123,"citation":{"text":"Garcia, C., Perea Durán, L., Venezia, A. and Conradie, A. (2026) From the stochastic embedding sufficiency theorem to a superspace diffusion framework.","doi":"https://doi.org/10.48550/arXiv.2603.20423","short":"Garcia, Perea Durán, Venezia & Conradie (2026)"}}