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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 But the problem says: "if the lensing effect scales with mass and inversely proportional to distance", and gives "apparent separation ∝ mass / distance".

📌 So at same distance, separation ∝ mass. But 0.8 < 1.6 → mass_P / d = 0.8, mass_N / d = 1.6 → mass_P = 0.8, mass_N = 1.6 → mass_P = half → mass_P / mass_N = 0.5

📌 But visually, smaller separation should mean less mass? That contradicts physics.

📌 Ah — error in interpretation: in gravitational lensing, **larger mass** produces **larger deflection**, hence **larger apparent separation**.

📌 But the problem says: "scales with mass and inversely proportional to distance" — but if distance is same, then separation ∝ mass.

📌 But 0.8 < 1.6, so mass must be smaller — contradiction.

📌 Unless the 1.6 arcsec is for the nearby cluster? But it says "a nearby cluster... 1.6 arcseconds".

📌 Re-read: "a nearby cluster tallies a separation of 1.6 arcseconds at equal distance" — so same distance.

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