Exploring the black hole information paradox using M-theory reveals it as a semiclassical approximation artifact, indicating deeper implications.
The black hole information paradox is re-examined within Quantum Geometric Unification (QGU), an M-theory compactification on a G₂-holonomy manifold with Betti numbers (b₂, b₃) = (27, 451). Seven mechanistically distinct local resolution mechanisms are systematically tested and demonstrated to fail due to a fundamental scale mismatch (m_K ~ 10⁻²⁸ eV vs black hole scales). This universal failure motivates re-examination of the paradox itself. Three results are established: (i) the cumulative semiclassical error over N ~ S_BH emissions reaches Δ = Nε² = π ~ O(1), independent of black hole mass; (ii) the vacuum correlator of the volume modulus K spans the horizon unimpeded (λ_K ≈ 60 kpc >> r_s), with K-matter mutual information I = (C_QG/K₀)² × S_BH ≈ 5.5 × 10⁻⁵ S_BH; (iii) a tripartite entanglement structure (radiation-K-interior) circumvents the AMPS firewall argument. The paradox is concluded to be an artifact of the semiclassical approximation applied beyond its domain of validity, not a physical phenomenon
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Moustafa Radwan (2026) studied this question.
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