# P14: [Proof Group D] QUARK n-VALUE DERIVATION — ZERO-FREE-PARAMETER PROOF

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

## Prompt

QUARK n-VALUE DERIVATION — ZERO-FREE-PARAMETER PROOF
Prove the n-values for the generation ladder D*phi^{-n} arise purely from octonion geometry (resolution to Problem 2): n_b = 7 = dim(Im Os) [bottom, Gen3]; Delta_n = 2 per triality step [each sigma-cycle adds one octonion pair]; n_c = 7+2 = 9 [charm, Gen2]; n_ud = 7+2*3 = 13 [up/down, Gen1]. Show all three n-values follow from one principle: triality stepping on the 7 imaginary directions of Os under G2(2). Verify masses. #SuperGrokTOE #QuarkMasses #nValues