The apparent conflict between science and spirituality has framed Western intellectual discourse for centuries. This paper proposes that the conflict is illusory—a word spell obscuring a fundamental unity. Using the pentagram as case study, we demonstrate that ancient spiritual traditions and modern physics are both engaged in the same activity: recognizing what persists. The pentagram, sacred across cultures for millennia, encodes the golden ratio (φ ≈ 1.618) in every proportion. Recent gravitational wave analysis reveals φ-convergence in black hole merger frequency ratios (p < 0.001, n = 69 events). These are not separate observations requiring reconciliation. They are the same observation across time: φ-organized patterns survive preferential damping in viscous media. What ancient observers called "sacred" and what modern physics calls "stable attractor" are identical recognitions expressed in different vocabularies. The pentagram persisted in spiritual traditions because φ persists in physical reality. The divide between science and spirituality never existed—both are pattern recognition systems identifying geometric persistence.