Galaxy Predictions
Book I's dark-matter account predicts galaxy rotation curves via a radial-acceleration relation — but the interpolating function is imported from existing MOND/RAR literature, not derived from the field equation, and the real observational test against SPARC data has not been run on this machine.
Radial acceleration relation for rotation curves
not yet testeda_obs = f(a_bar; a*), f(x) = x / (1 − exp(−√(x/a*)))
- Required parameters
- Baryonic (visible-matter) acceleration a_bar; universal acceleration scale a* (fitted, not derived)
- Predicted result
- Observed centripetal acceleration as a function of baryonic acceleration, matching the published McGaugh–Lelli–Schombert (2016) RAR form
- Competing (standard) prediction
- Particle dark-matter halo models (NFW, etc.), or MOND itself (which this functional form closely tracks)
- Required instrument/data
- The SPARC galaxy rotation-curve database, fit against this theory's specific a* prediction
Falsification criterion: A poor fit to real SPARC rotation curves, or an a* value inconsistent across galaxies in a way the theory doesn't explain.
See the check for this claim →