Scale-invariant dynamics in the Solar System

Abstract

The covariant scale-invariant dynamics (SID) theory has recently been proposed as a possible explanation for the observed dynamical discrepancies in galaxies (Maeder & Gueorguiev 2020). SID implies that these discrepancies $-$ commonly attributed to dark matter $-$ arise instead from a non-standard velocity-dependent force that causes two-body near-Keplerian orbits to expand. We show that the predicted expansion of the Earth-Moon orbit is incompatible with lunar laser ranging data at $>200\sigma$. Moreover, SID predicts that the gravitating mass of any object was much smaller in the past. If true, a low-mass red giant star must be significantly older than in standard theory. This would make it much older than the conventional age of the Universe, which however is expected to be similarly old in SID. Moreover, it is not completely clear whether SID truly contains new physics beyond General Relativity, with several previous works arguing that the extra degree of freedom is purely mathematical. We conclude that the SID model is falsified at high significance by observations across a range of scales, even if it is theoretically well formulated.

5 pages, no figures, 1 table. Accepted for publication in the Monthly Notices of the Royal Astronomical Society Letters in this form

References in corpus (52)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Emergent Gravity and the Dark Universe
• The Ages of 55 Globular Clusters as Determined Using an Improved delta V_TO^HB Method Along with Color-Magnitude Diagram Constraints, and Their Implications for Broader Issues
• The unexpected diversity of dwarf galaxy rotation curves
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Precision timing of PSR J0437-4715: an accurate pulsar distance, a high pulsar mass and a limit on the variation of Newton's gravitational constant
• Current status of direct dark matter detection experiments
• The dark matter crisis: falsification of the current standard model of cosmology
• A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies
• The Modified Dynamics as a Vacuum Effect
• Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation
• Fitting the radial acceleration relation to individual SPARC galaxies
• Bounds on the possible evolution of the Gravitational Constant from Cosmological Type-Ia Supernovae
• The MOND limit from space-time scale invariance
• The globular cluster NGC 2419: a crucible for theories of gravity
• A Global Analysis of Dark Matter Signals from 27 Dwarf Spheroidal Galaxies using 11 Years of Fermi-LAT Observations
• A statistical investigation of the mass discrepancy-acceleration relation
• Absence of a fundamental acceleration scale in galaxies
• Fake Conformal Symmetry in Conformal Cosmological Models
• Testing Gravity with wide binary stars like $\alpha$ Centauri
• The scatter, residual correlations and curvature of the SPARC baryonic Tully-Fisher relation
• A general class of gravitational theories as alternatives to dark matter where the speed of gravity always equals the speed of light
• Star formation triggered by galaxy interactions in modified gravity
• Testing Modified Gravity with Wide Binaries in GAIA DR2
• A new formulation of the external field effect in MOND and numerical simulations of ultra-diffuse dwarf galaxies $-$ application to NGC 1052-DF2 and NGC 1052-DF4
• MOND as a regime of quantum gravity
• Asteroseismic constraints on the cosmic-time variation of the gravitational constant from an ancient main-sequence star
• Polytropic model fits to the globular cluster NGC 2419 in Modified Newtonian Dynamics
• A common Milgromian acceleration scale in nature
• The formation of exponential disk galaxies in MOND
• Using distant globular clusters as a test for gravitational theories
• Constraining a possible variation of G with Type Ia supernovae
• Dark matter-baryon scaling relations from Einasto halo fits to SPARC galaxy rotation curves
• The Star Formation History and Dynamics of the Ultra-diffuse Galaxy Dragonfly 44 in MOND and MOG
• The Age of the Old Metal-Poor Globular Cluster NGC6397 Using WFC3/IR Photometry
• A Dearth of Atomic Hydrogen in NGC1052-DF2
• NGC 2419 does not challenge MOND
• Quantum statistical modified entropic gravity as a theoretical basis for MOND
• Scale-Invariant Dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals
• NGC 2419 does not challenge MOND, Part 2
• Distant star clusters of the Milky Way in MOND
• Constraints on the HI Mass of NGC 1052-DF2
• A new line on the wide binary test of gravity
• Discussing the first velocity dispersion profile of an ultra-diffuse galaxy in MOND
• An absolute calibration system for millimeter-accuracy APOLLO measurements
• The MOND External Field Effect on the Dynamics of the Globular Clusters: General Considerations and Application to NGC 2419

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