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Home » $ z + w = 4 + 2i $ - Fine VPN

$ z + w = 4 + 2i $ - Fine VPN

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 Wait — apparent separation is larger for more massive lens. So if 0.8 > 1.6? No — 0.8 < 1.6, so distant would appear smaller? Contradiction.

📌 Reinterpret: The lensing effect size is proportional to mass and inversely proportional to square of distance? But problem states: "apparent separation ∝ mass / distance" — assuming monochromatic approximation.

📌 But 0.8 < 1.6, so if distance is same, mass ratio = 0.8 / 1.6 = 0.5. But that would imply less mass, contradicting stronger lensing.

📌 Unless the formula is approximate and larger separation implies stronger lensing, so larger angular deflection corresponds to higher mass. But formula says separation ∝ mass / distance.

📌 If distance is same, then separation ∝ mass. But observed separation is smaller (0.8 < 1.6), so mass must be smaller? That can’t be.

📌 Wait — perhaps the formula is only approximate, but the problem says "apparent separation ∝ mass / distance".

📌 But 0.8 is less than 1.6, so if distance is same, then mass must be less. But gravitational lensing creates larger arcs for more massive clusters.

📌 Thus, likely the proportionality is reversed in intuition. But the problem states directly: "apparent separation ∝ mass / distance".

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