Nuclear Physics · April 2026
Exotic Masses Predicted
A zero-parameter nuclear mass formula validated against 51 measured nuclei is applied to 30 unmeasured exotic isotopes. Each prediction is a falsifiable kill condition for experiments at FAIR and RIKEN.
Key Results
The formula extrapolates without fitting
The five-term nuclear mass formula derived from the 600-cell adjacency spectrum makes pre-registered predictions for 30 exotic isotopes not yet measured. Each is a kill condition. If three or more land outside the predicted range when FAIR Super-FRS reports in 2027, the derivation fails.
1
Five-term formula M = Zmₚ + Nmₙ − (mπ/12)Σλ⁺(σ/b)^{2σ²} + Coulomb + asymmetry. Zero free parameters.
2
RMS 0.054% across 51 measured nuclei. Exotic isotope RMS 0.043% across 16 exotics with known masses.
3
At iron: b → σ = 1/φ exactly. The fixed point of the axiom is the nuclear fixed point. Iron is where the axiom converges.
4
For A > 120: two 600-cells required. The second shell of the icosian geometry becomes active at the heavy nucleus boundary.
Kill Conditions
K1: Three or more exotic predictions outside ±0.2% when measured → formula falsified
K2: Any measured exotic isotope deviating by more than 0.5% → structural assumption fails
K3: FAIR Super-FRS Early Science (2027) provides decisive test