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arXiv:2204.08064 · Foundations of Physics

Tabletop Experiments for Quantum Gravity Are Also Tests of the Interpretation of Quantum Mechanics

Emily Adlam

Published Oct 1, 2022• 7 citations
arXivHTMLPDF
DOI
10.1007/s10701-022-00636-z

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Measurement of mutual gravitation on laboratory scales is an outstanding challenge and a prerequisite to probing theories of quantum gravity. A leading technology in tabletop gravity experiments is the torsion balance, with limitations due to thermal decoherence. Recent demonstrations of lithographically defined suspensions in thin-film silicon nitride with macroscale test masses suggest a path forward, as torsion pendulums dominated by gravitational stiffness may achieve higher mechanical quality factors through dilution of material losses. Here we demonstrate a 250 micron by 5 mm by 1.8 micron torsion fiber supporting 87 grams and forming a Cavendish-style torsion pendulum with tungsten test masses that -- to our knowledge -- is the largest thin-film silicon-nitride-based oscillator to date. Torsion pendulums with thin-film, nanofabricated suspensions provide a test bed for near-term tabletop experiments probing classical and quantum gravitational interaction between oscillators.

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Layered Operational Realism: A Tripartite Framework for Interpreting Mesoscopic Quantum Phenomena and Tabletop Gravity

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Testing Quantum Gravity via Tabletop Mass Entanglement — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Tabletop experiments propose direct quantum-gravity tests via entanglement of two masses, probing the quantum nature of the gravitational field. | MATH: The core observable is the gravitational interaction Hamiltonian \( H_{\text{int}} = -G m_1 m_2 / |\mathbf{r}_1 - \mathbf{r}_2| \), with quantum superposition of positions \( |\psi\rangle = \frac{1}{\sqrt{2}}(|L\rangle + |R\rangle) \) for each mass; the entanglement witness is the phase \( \phi = \frac{G m_1 m_2 t}{\hbar d} \) (where \( d \) is separation, \( t \) interaction time). Key constants: \( G \approx 6.674 \times 10^{-11} \, \text{m}^3\text{kg}^{-1}\text{s}^{-2} \), \( \hbar \approx 1.054 \times 10^{-34} \, \text{J·s} \). No new ratio emerges; the test is binary: gravity is quantum (entanglement) or classical (no entanglement). | CONNECTION: No direct geometric ratio (0.382, 0.618, 0.786, 1.618, 2.618) appears in the experimental design. However, the superposition states \( |L\rangle, |R\rangle \) form a two-level sy Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Oct 13, 2026•0 citations
Measurement of mutual gravitation on laboratory scales is an outstanding challenge and a prerequisite to probing theories of quantum gravity. A leading technology in tabletop gravity experiments is the torsion balance, with limitations due to thermal decoherence. Recent demonstrations of lithographically defined suspensions in thin-film silicon nitride with macroscale test masses suggest a path forward, as torsion pendulums dominated by gravitational stiffness may achieve higher mechanical quality factors through dilution of material losses. Here we demonstrate a 250 micron by 5 mm by 1.8 micron torsion fiber supporting 87 grams and forming a Cavendish-style torsion pendulum with tungsten test masses that -- to our knowledge -- is the largest thin-film silicon-nitride-based oscillator to date. Torsion pendulums with thin-film, nanofabricated suspensions provide a test bed for near-term tabletop experiments probing classical and quantum gravitational interaction between oscillators.
Layered Operational Realism (LOR) is introduced not as a replacement for quantum mechanics, but as a methodological framework for separating operational predictions from interpretational claims in mesoscopic quantum experiments and tabletop gravity proposals. The framework distinguishes three layers: Layer I contains the empirically testable formalism of quantum mechanics, including unitary evolution, density operators, and Born-rule probabilities; Layer II concerns the emergence of classical objectivity through decoherence, environment-induced superselection, and Quantum Darwinism; Layer III contains optional ontological overlays such as Copenhagen, Everettian, QBist, relational, or collapse-based interpretations. Many contemporary disputes in mesoscopic quantum mechanics and gravitational entanglement experiments arise from conflating these layers. LOR does not resolve the measurement problem or provide a new physical law. Instead, it offers a disciplined framework for distinguishing experimentally testable claims from interpretational extrapolation.
Gravity is the most apparent force in our everyday existence. Yet its fundamental nature remains the most opaque of the known interactions. This gap in our understanding is, in large part, due to the weakness of the gravitational interaction, which makes its empirical probing exceedingly hard. Nevertheless, on the backdrop of rapid advances in quantum technologies, hope has mounted that tests of the quantum nature of gravity could be realized in tabletop experiments. In this essay, we frame these recently proposed tests as quantum-gravitational imitation games. In particular, we examine how gravitational interactions among mechanical oscillators enable the teleportation of arbitrary quantum states and how this can inform fundamental tests of gravity.
FINDING: Tabletop experiments propose direct quantum-gravity tests via entanglement of two masses, probing the quantum nature of the gravitational field. | MATH: The core observable is the gravitational interaction Hamiltonian Hint=−Gm1m2/∣r1−r2∣ H_{\text{int}} = -G m_1 m_2 / |\mathbf{r}_1 - \mathbf{r}_2| Hint​=−Gm1​m2​/∣r1​−r2​∣, with quantum superposition of positions ∣ψ⟩=12(∣L⟩+∣R⟩) |\psi\rangle = \frac{1}{\sqrt{2}}(|L\rangle + |R\rangle) ∣ψ⟩=2​1​(∣L⟩+∣R⟩) for each mass; the entanglement witness is the phase ϕ=Gm1m2tℏd \phi = \frac{G m_1 m_2 t}{\hbar d} ϕ=ℏdGm1​m2​t​ (where d d d is separation, t t t interaction time). Key constants: G≈6.674×10−11 m3kg−1s−2 G \approx 6.674 \times 10^{-11} \, \text{m}^3\text{kg}^{-1}\text{s}^{-2} G≈6.674×10−11m3kg−1s−2, ℏ≈1.054×10−34 J⋅s \hbar \approx 1.054 \times 10^{-34} \, \text{J·s} ℏ≈1.054×10−34J⋅s. No new ratio emerges; the test is binary: gravity is quantum (entanglement) or classical (no entanglement). | CONNECTION: No direct geometric ratio (0.382, 0.618, 0.786, 1.618, 2.618) appears in the experimental design. However, the superposition states ∣L⟩,∣R⟩ |L\rangle, |R\rangle ∣L⟩,∣R⟩ form a two-level sy Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com