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Lateral Casimir force between corrugated surfaces

Contribution grade

Quantum Physics · Source-reported experimental result or reusable measurement method

Reference score85,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Chen and colleagues used a modified atomic-force microscope to measure an oscillating lateral force between aligned, corrugated gold-coated surfaces. Its phase dependence followed the corrugation period, and the authors compared its magnitude and distance dependence with a finite-conductivity Casimir calculation for their sphere–plate geometry. Their later detailed account reports the calibration, additional electrostatic-force data and a more comprehensive uncertainty analysis.

Scientific scope

Chen and colleagues used a modified atomic-force microscope to measure an oscillating lateral force between aligned, corrugated gold-coated surfaces. Its phase dependence followed the corrugation period, and the authors compared its magnitude and distance dependence with a finite-conductivity Casimir calculation for their sphere–plate geometry. Their later detailed account reports the calibration, additional electrostatic-force data and a more comprehensive uncertainty analysis. The measurement is a small lateral deflection in a particular corrugated sphere–plate setup, with electrostatic compensation and calibration; it is not a general measurement of all geometries or a working vacuum-powered machine. The absolute closest Casimir separation is inferred from the same force theory used for comparison, followed by calibrated 12 nm increments. A separate lateral-electrostatic measurement constrains contact separation but was made hours later and also uses a force model; it does not make the absolute force-law test fully independent. The initial letter quotes about 15% relative uncertainty at 95% confidence; the detailed account reports about 24% after fuller error analysis. The surface alignment and roughness assumptions apply to this setup. Earlier theory of lateral forces and prior normal Casimir measurements retain credit.

Evidence

The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. The measurement is a small lateral deflection in a particular corrugated sphere–plate setup, with electrostatic compensation and calibration; it is not a general measurement of all geometries or a working vacuum-powered machine. The absolute closest Casimir separation is inferred from the same force theory used for comparison, followed by calibrated 12 nm increments. A separate lateral-electrostatic measurement constrains contact separation but was made hours later and also uses a force model; it does not make the absolute force-law test fully independent. The initial letter quotes about 15% relative uncertainty at 95% confidence; the detailed account reports about 24% after fuller error analysis. The surface alignment and roughness assumptions apply to this setup. Earlier theory of lateral forces and prior normal Casimir measurements retain credit.

Contributors

Provisional WRS assessment, edition 2026-10-28.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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