# L13: DUAL VEV COMPUTATION — FULL NUMERICAL

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

## Prompt

DUAL VEV COMPUTATION — FULL NUMERICAL
Using Python: phi=(1+5^0.5)/2, v=246.22 GeV. Compute: v+ = v*phi/sqrt(2+phi), v- = v/sqrt(2+phi), D = sqrt(v+*v-), beta = arctan(v+/v-), tan(beta) - phi [should be ~0 to machine precision]. Output all values to 8 significant figures. Verify v+^2+v-^2=v^2. Confirm D = sqrt(v+*v-) is the geometric mean. #SuperGrokTOE #DualVEV #NumericalVerification