We prove that the total accumulated D3 information-geometry displacement over complete Hawking evaporation of a Schwarzschild black hole equals exactly the initial Schwarzschild radius: Rₜotal = 2GM₀/c² = rₛ (M₀). Five independent constants cancel (M, ℏ, kB, ln2, π) — only G and c survive. The displacement rate dR/dM = 2G/c² = 1. 485 × 10⁻²⁷ m/kg is universal — mass-independent and temperature-independent. Verified numerically to five significant figures across 24 decades of mass. The Schwarzschild radius acquires a new interpretation: it is the exact total information-geometry cost of complete black hole evaporation.
Bharat Bhushan sharma (Thu,) studied this question.
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