Exact analytic relations express M, α, D (and a) of Schwarzschild-MOG and Kerr-MOG black holes directly in terms of accretion-disk frequency shift, aperture angle, and redshift rapidity (plus acceleration in the rotating case).
Scalar–tensor–vector gravity theory , volume=
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Kerr-MOG accretion disk spectra are softer than Kerr at fixed spin due to outward ISCO shift from the fifth-force parameter α, with an observational upper limit α < 0.044 from LMC X-1 data.
Baryonic fraction in certain galaxies correlates with baryonic acceleration as approximately a_bar inverse, placing known dark-matter-deficient galaxies at the high-acceleration extreme and predicting low dark matter content for ultra-diffuse galaxies brighter than 25 mag arcsec^{-2}.
A theory of time from wavefunction collapse in GR predicts emergent unitary tensor graviton dynamics and identifies long-wavelength scalar modes as a viable dark matter candidate in a cosmological constant-dominated universe.
MOG produces distinct orbital precession and sky-projected deviations for S-stars that grow with the parameter α and can resemble dark matter effects while remaining testable against GR.
Gravitational lensing is recast as an optical phenomenon governed by effective refractive index, yielding closed-form deflection angles and Einstein radii for modified gravity models including deep-MOND, Yukawa, and power-law f(R).
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Emergent time and more from wavefunction collapse in general relativity
A theory of time from wavefunction collapse in GR predicts emergent unitary tensor graviton dynamics and identifies long-wavelength scalar modes as a viable dark matter candidate in a cosmological constant-dominated universe.