Modulus and Remainder at Every Scale

The giga remainder test is a single experiment with eleven derivations sampling seven hierarchy levels simultaneously. Each derivation computes a specific numerical prediction from the framework's modulus/remainder decomposition. Each prediction is compared to a measured quantity through a pre-registered tolerance window. The framework committed before the computation ran. **Experiment:** experiment_giga_remainder_test_v0, run001. **Pool:** 3788 value nodes. **Derivations:** 11 OK, 0 errors. **Outputs:** 140 values. **Pre-registered comparisons:** 10. **Result:** 8 PASS, 2 FAIL. The eleven derivations: | # | Derivation | Level | What it tests | |---|---|---|---| | 1 | CKM from integers | Particle | CKM elements as gauge-group fractions | | 2 | Cosmological closure | Cosmos | Ω_Λ = (251−22π)/264 | | 3 | Hubble tension | Cosmos | H₀ ratio = 12/11 | | 4 | Hadron Koide | Hadron | K for 9 particle triplets | | 5 | Nuclear binding | Nuclear | SEMF ratio a_A/a_V = 3/2 | | 6 | Hill sphere | Planetary | Decomposition into 1/3 + mass ratio | | 7 | Chandrasekhar | Stellar | Lane-Emden coefficient = 15π/8 | | 8 | Muon g-2 toroidal | Lepton | 4-loop toroidal = 40% of anomaly | | 9 | Koide amplitude map | All families | a² distribution across 4 sectors | | 10 | Filling fraction ladder | Math | R₃/R₂ unique rational | | 11 | Microscopic-cosmic bridge | QED↔Cosmos | cosmic/micro = 3(M_Z/m_e)² |