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 (main_en.pdf, primary) and Spanish (main.pdf) versions.