# L15: GOLDEN RATIO IDENTITIES — ALGEBRAIC VERIFICATION

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

## Prompt

GOLDEN RATIO IDENTITIES — ALGEBRAIC VERIFICATION
Verify all phi-identities used in v1.27.5: phi^2 = phi+1, phi^3 = 2phi+1, phi^{-1} = phi-1, sqrt(2+phi) = sqrt(phi^2+1) = ... [identify closed form], v+/v- = phi exactly, 2+phi = phi^2 + 1 [verify numerically]. Show that all VEV ratios are algebraic (no transcendental parameters). #SuperGrokTOE #GoldenRatio #AlgebraicCheck