Published July 10, 2026 | Version 2.0

Gravitational Lensing from TS Curvature

Description

Paper D — Gravitational Lensing from TS Curvature

Major corrective revision. This version corrects how the TS curvature channel lenses photons: the thin-lens deflection integrates the transverse gradient of the logarithmic potential, whose projection saturates to a constant — the standard SIS amplitude α_TS = 2π√(a₀GM_b)/c² = 4πσ²/c² — not a logarithm. The projected two-dimensional lensing potential is linear in impact parameter, and the corrected TD/TS deflection ratio is linear, η(b) = (π/2)(b/R★), crossing unity at 2/π ≈ 0.637. The corrected claim is modest but clean: LFCT recovers the isothermal lensing amplitude from the TS curvature channel with no lensing-sector free parameter beyond the baryonic mass, and no dark-halo lensing profile inserted by hand. The distinctive-logarithmic-profile discriminators of the prior version are withdrawn.

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