Non-Newtonian Dynamics for Massive Bodies

This paper records computational tests of galactic rotation curves using the SPARC database, with quality cuts based on observational reliability (2,696 points in 147 galaxies) and visible mass taken from observed luminosity and gas. It records several model failures, beginning with the author's original two-body torque model, which reproduces the Newtonian case well but badly underpredicts rotation speeds for the most peripheral stars and gas. It then reports a successful model that shares much with Milgrom's MOND. The novel part is that a central gravitational well competes with an ambient stress set by the age of the universe: the acceleration scale is the speed of light divided by 2π times the age of the universe, 1.10 × 10⁻¹⁰ m/s², with nothing fitted. With this value the model matches the data with an average offset of about 2 percent. Any mass body moving with respect to the local stress-energy field carries an asymmetry in its field: a differential moment that travels with the body but does not act on it. This moment couples to local fields through a clock-rate balancing mechanism that steers the body so as to keep the local clock-rate differential at a continuous minimum. Files in this record: the paper (PDF); a self-contained companion web page that reproduces the SPARC analysis (open it in any web browser); the point-level predictions (CSV); the analysis script (Python); and the dated record of the wide-binary predictions, written on 12 October 2026 before the Gaia data were examined.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-19
DOI
https://doi.org/10.5281/zenodo.23474246
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Non-Newtonian Dynamics for Massive Bodies

Anthony A. Gallistel
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Non-Newtonian Dynamics for Massive Bodies

Anthony A. Gallistel
preprint en

Abstract

This paper records computational tests of galactic rotation curves using the SPARC database, with quality cuts based on observational reliability (2,696 points in 147 galaxies) and visible mass taken from observed luminosity and gas. It records several model failures, beginning with the author's original two-body torque model, which reproduces the Newtonian case well but badly underpredicts rotation speeds for the most peripheral stars and gas. It then reports a successful model that shares much with Milgrom's MOND. The novel part is that a central gravitational well competes with an ambient stress set by the age of the universe: the acceleration scale is the speed of light divided by 2π times the age of the universe, 1.10 × 10⁻¹⁰ m/s², with nothing fitted. With this value the model matches the data with an average offset of about 2 percent. Any mass body moving with respect to the local stress-energy field carries an asymmetry in its field: a differential moment that travels with the body but does not act on it. This moment couples to local fields through a clock-rate balancing mechanism that steers the body so as to keep the local clock-rate differential at a continuous minimum. Files in this record: the paper (PDF); a self-contained companion web page that reproduces the SPARC analysis (open it in any web browser); the point-level predictions (CSV); the analysis script (Python); and the dated record of the wide-binary predictions, written on 12 October 2026 before the Gaia data were examined.

Zenodo (CERN European Organization for Nuclear Research)
University of Tennessee at Chattanooga (US)
Cosmology and Gravitation Theories
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