# P12: [Proof Group D] GENERATION-STRATIFIED CUBICS — RESOLUTION OF PROBLEM 1

**Category:** proof_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

GENERATION-STRATIFIED CUBICS — RESOLUTION OF PROBLEM 1
Prove the resolution to cubic gap #114: J3(Os) -> Gen1 (electron, real roots, Delta>0); J3(Hs) -> Gen2 (muon, real roots after phi^{-4} Det scaling); J3(Cs) -> Gen3 (tau, real roots after phi^{-6} Det scaling). Show that Det scaling by phi^{-2n} per generation flips the discriminant from negative (complex roots) to positive (real roots) for the heavy leptons. Verify numerically. #SuperGrokTOE #GenerationLadder #CubicResolution