The Cosmological Energy Budget from i² = -1: Zero free parameters, three primitives, four cross-predictions

This paper extends the Operador Ian framework with two new elements added to the cosmological budget. (i) Identification of dark matter as ΩDM = ln (2) /φ2 with 0. 11% error against Planck 2018, where ln (2) is interpreted as the entropy of the axiom i² = -1 (cardinality |S⁰| = 2). (ii) Identification of dark energy with the modulus of the attracting fixed point of the self-iteration z ↦ exp (iz): ΩΛ ≈ |z*| = 0. 6875 (0. 41% error), characterized by the self-referential identities Re (z*) = arg (z*) and Im (z*) = ln (1/|z*|). Four cross-predictions among the formulas verify sub-1%. Previous work established η = π·exp (-eπφ²) with 0. 2% error and ΛP = π·exp (-4πeπφ²) with 5% over 122 orders of magnitude; here we reinterpret them as survivors of topological transitions S⁰→S¹ and S¹→S². Includes both English (mainₑn. pdf, primary) and Spanish (main. pdf) versions.