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Theoretical evaluation reveals tabletop matter-wave interferometry can probe quantum gravity through mass entanglement, highlighting experimental paths toward Planck-scale physics.
FINDING: Quantum gravity remains experimentally untested; proposed tabletop tests (matter-wave interferometry, optomechanics) probe Planck-scale effects via superposition of massive objects, with no confirmed mathematical discovery yet. MATH: No new equations or constants extracted. Relevant framework: Planck mass \( m_P = √ c/G ≈ 2.176 × 10⁻⁸ \, kg \), Planck length \( _P = √ G/c^3 ≈ 1.616 × 10⁻³⁵ \, m \). Proposed test scales: superposition separation \( Δ x ~ _P2/3 λ_C1/3 \) (where \( λ_C \) is Compton wavelength) — from Bose–Marletto–Vedral entanglement criterion. No golden-ratio or base-60 structure appears in the cited abstracts. CONNECTION: None explicit. However, the Bose–Marletto–Vedral test relies on gravitational entanglement of two masses — a bipartite quantum correlation. If gravity is quantum, the interaction Hamiltonian \( H ∝ G m_1 m_2 / r \) yields entanglement e Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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