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Rotation of the Triangulum Galaxy M33
Baryonic mass ~ 1010 solar masses ~ 2 x 1040 kg.
Radius ~ 3 x 104 light years ~ 3 x 1020 metres.
If w = 2 (sqrt pi G d) *Gödel, where d = density.
w = sqrt 2 (pi x 6.67 x 10-11 x 2 x 1040 x 3 / 4 x pi x 27 x 1060)
w ~ 3.8 x 10-16 radians/second.
Compare with Gomel and Zimmerman
Where w = 4.58 x 10-16 radians/second.
Gödel 1949 proposed that any dust like cloud of gravitationally bound matter would have an intrinsic angular velocity w.
Gomel and Zimmerman 2019 propose that a galaxy will have an intrinsic inertial frame of reference which gives rise to an angular velocity w.
The above very rough calculation shows that the angular velocity proposed by Gödel may equal the component of the galactic rotation curve identified as w by Gomel and Zimmerman and that the hypothesis of ‘Dark Matter’ to explain galactic rotation curves will become completely unnecessary.
This calculation depends on assessing the overall density of the galactic disc and the spherical gas halo together.
Peter J Carroll 29/2/2020