Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale

Abstract

We conducted three torsion-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 micrometers, probing distances less than the dark-energy length scale ${\lambda }_{\mathrm{d}}=\sqrt[4]{\hslash c/{\rho }_{\mathrm{d}}}\approx 85\mu$m. We find with 95% confidence that the inverse-square law holds ($|\alpha |\le 1$) down to a length scale $\lambda =56\mu$m and that an extra dimension must have a size $R\le 44\mu$m.

4 pages, 6 figures

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• Finite temperature effects in modular cosmology
• SLED Phenomenology: Curvature vs. Volume
• Configurational entropy and Newton's Law in double sine-Gordon braneworlds
• Notes on Born-Infeld-like modified gravity
• Enhancement of Loop induced 125GeV Higgs pair production through Large-Extra-Dimensions model at the LHC
• Testing screened scalar-tensor theories of gravity with atomic clocks
• Monopoles on string-like models and the Coulomb's law
• Localization of Gravitino Field on Thin Branes
• Dark Energy, scalar-curvature couplings and a critical acceleration scale
• Signatures of Singlet Neutrinos in Large Extra Dimensions at the LHC
• Proposal for a geophysical search for dilatonic waves
• Angular correlations in TeV-gravity black hole events
• Neutrino force at all length scales
• Gravitational waves in the black string braneworld
• Unveiling Time-Varying Signals of Ultralight Bosonic Dark Matter at Collider and Beam Dump Experiments
• Complementary cosmological tests of RSII brane models
• The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^1/Z_2$
• Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints
• Classical tests of General Relativity in thick branes
• Testing Gravity and Predictions Beyond the Standard Model at Short Distances: The Casimir Effect
• New Bounds on Dark Energy Induced Fifth Forces
• Hint of dark matter-dark energy interaction in DESI DR2 and current cosmological dataset?
• Dynamical Casimir effect with screened scalar fields
• Scalaron dark matter and the thermal history of the universe
• $R^2$ Dark Energy in the Laboratory
• Dark Energy and Extending the Geodesic Equations of Motion: Its Construction and Experimental Constraints
• Gravitational Forces on a Codimension-2 Brane
• Warp Drive: A New Approach
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Ghost-Free Higher Derivative Quantum Gravity, the Hierarchy and the Cosmological Constant Problems
• Improving force sensitivity by amplitude measurement of light reflected from a detuned optomechanical cavity
• Particles and forces from chameleon dark energy
• Understanding Gravity: Some Extra Dimensional Perspectives
• Implications of quantum gravity for dark matter in the brane-world scenario
• Magnetized matter effects on dilaton photon mixing
• Possible black universes in a brane world
• A scale at 10 MeV, gravitational topological vacuum, and large extra dimensions
• Criteria for resolving the cosmological singularity in Infinite Derivative Gravity around expanding backgrounds
• Logarithmic gravity model
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Neutron Stars, Ungravity, and the I-Love-Q relation
• Neutron experiments to search for new spin-dependent interactions
• Flat Galactic Rotation Curves from Geometry in Weyl Gravity
• Ultra cold neutron trap as a tool to search for dark matter with long-range radius of forces
• Brane Stabilization and Regionality of Extra Dimensions
• A few remarks on the relationship between elementary particle physics, gravitation and cosmology
• Braneworld Cosmology
• Born - Infeld-type modified gravity
• Cosmological Dynamics and Double Screening of DBI Galileon Gravity
• The gyroscopic frequency of metric $f(R)$ and generalised Brans-Dicke theories: constraints from Gravity Probe-B
• Proposed experimental test of Randall-Sundrum Models
• Quantum corrected gravitational potential beyond monopole-monopole interactions
• Non-analytic behavior of the Casimir force across a Lifshitz transition in a spin-orbit coupled material
• On the equivalence between $f\left(R\right)$ theories and Einstein gravity
• Coleman-Weinberg dynamics of ultralight scalar dark matter and GeV-scale right-handed neutrinos
• Quantum and thermal pressures from light scalar fields
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Associated Production of a KK-Graviton with a Higgs Boson via Gluon Fusion at the LHC
• Interactions of the scalaron dark matter in $f(R)$ gravity
• Equivalence of scalar-tensor theories and scale-dependent gravity
• How to strengthen constraints on non-Newtonian gravity from measuring the lateral Casimir force
• Could trapped quintessence account for the laser-detuning-dependent acceleration of cold atoms in varying-frequency time-of-flight experiments?
• QSNET, a network of clocks for measuring the stability of fundamental constants
• Automation of the Cavendish Experiment to 'Weigh the Earth'
• Peripheral, ultrarelativistic production of particles in heavy ion collisions
• Dissipation and nonlocality in a general expanding braneworld universe
• Eikonal regime of gravity-induced scattering at higher energy proton colliders
• Neutrino decoherence and violation of the strong equivalence principle
• Possible Measurable Effects of Dark Energy in Rotating Superconductors
• Neutral Triple Gauge Boson production in the large extra dimensions model at linear colliders
• Experimental limits on the fundamental Planck scale in large extra dimensions
• The stability and gravitational Newtonian limit of a modified Randall-Sundrum model
• Schwinger's Approach to Einstein's Gravity and Beyond
• Axion Window on New Macroscopic Forces
• Study of surface potentials using resonant tunneling of cold atoms in optical lattices
• Can the Existence of Dark Energy Be Directly Detected?
• Experimental Search for Non-Newtonian Forces in the Nanometer Scale with Slow Neutrons
• A possible probe of the new fifth force
• Some exact relativistic star solutions in $f(R)$ gravity
• Limits on scalar dark matter interactions with particles other than the photon via loop corrections to the scalar-photon coupling
• Primordial black holes in Randall-Sundrum: Cosmological signatures
• Density perturbations in braneworld cosmology and primordial black holes
• Microscopic composite systems bound by strong gravity in extra dimensions as candidates for dark matter
• Precision studies of Casimir force and short-range gravity employing prototypes of interferometric gravitational wave detectors
• Enhanced sensing of non-Newtonian effects at ultrashort range with exceptional points in optomechanical systems
• CMB Constraint on Radion Evolution in the Brane World Scenario
• Liquid actuated gravity experiments
• Short-range test of the universality of gravitational constant $G$ at the millimeter scale using a digital image sensor
• The Effective Strength of Gravity, the Scale of Inflation (and how KK gravitons evade the Higuchi Bound)
• Current Status of LHC Physics: Precision Theory View
• Constraining Light Scalar Field with Torsion-Balance Gravity Experiments
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Novel setup for detecting short-range anisotropic corrections to gravity
• Implications of Quantum Gravity for Dark Matter
• NLO QCD Corrections to Graviton Induced Deep Inelastic Scattering
• Quantum field theory on curved spacetime and the standard cosmological model
• Electric Polarization Induced by Gravity in Fat Branes
• Effects of nonlinearity of $f(R)$ gravity and perfect fluid in Kaluza-Klein models with spherical compactification
• Some remarks on axion dark matter, dark energy and energy of the quantum vacuum
• Weakly bound molecules as sensors of new gravitylike forces
• On the four-dimensional effective theories in brane-worlds
• Constraining Yukawa-type interaction and coupling constant of axionlike particles to nucleons from recent measurement of the Casimir-Polder interaction
• Tensor gauge fields and dark matter in general relativity with fermions
• Multidimensional arrow of time
• Particle Phenomenology of Gravitational Events at the TeV Scale
• Monte Carlo study of NLO correction to QCD evolution kernel induced by the change of the factorization scale
• Constraining the Phase-Transition EoS using the Energy Dependence of Directed Flow
• Optimal Estimation of Several Linear Parameters in the Presence of Lorentzian Thermal Noise
• Constraining runaway dilaton models using joint gravitational-wave and electromagnetic observations
• The Energy Dependence of Micro Black Hole Horizon in Quantum Gravity Theory
• Dark Matter Energy Deposition and Production from the Table-Top to the Cosmos
• Probing New Forces with Nuclear Clocks
• Dynamical measurements of deviations from Newton's $1/r^2$ law
• Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints
• Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach
• A Search for non-Newtonian force in a precision measurement of the scattering of slow neutrons in Xenon gas
• Scalar perturbations in Randall-Sundrum braneworld cosmology
• Stringent Constraints on Gravitational Wave Signatures of Dark Electromagnetism in Neutron Star Binaries
• Degravitation and the relaxed Einstein equations