Nested Fibrational Cosmology

Nested Fibrational Cosmology (NFC) is a first-principles research framework that starts from finite relational incidence, admissible extensions, and a locality discipline, then derives higher-level structural constraints from those primitives alone. In its kernel layer, NFC develops a combinatorial proof spine built around behavioral congruence, unavoidable compression to survivor space, fork independence, boundary-capacity bounds, the master inequality, and a refinement ceiling. On top of that kernel, the framework organizes a larger superstructure covering entropy monotonicity, admissible law selection, non-functorial survivor composition, emergent time via ledger structure, quantum-like projectivization and Born-type weighting, holographic boundary-capacity bounds, defect currents, gauge-algebra forcing, and a conditional continuum bridge program toward Yang–Mills and Navier–Stokes. A central architectural principle is dependency discipline: downstream claims are required to cite only established kernel theorems, with conditional results and open obligations explicitly separated rather than smuggled in.