Discussion of 262(2)

Agreed with this, the kinematics are based directly on geometry as you know, so I will continue the notes in this way. We can include your remarks in the final paper as usual.

In a message dated 30/05/2014 13:08:37 GMT Daylight Time, writes:

Perhaps one sould add some explanation to the deraviation of eq.(19) from (14). For limit r –> inf. the first term of (14) goes to zero but the second has to go to a constant value given by v[inf]. Since there is a factor 1/r^2, this means that d theta/dr has to go to zero.
Now eq. (11) can be considered in this limit. since the lhs is constant and r goes to inifinity, the factor omega has to go to zero. This is probably the simplest way to derive this behaviour of omega. The result is consistent with d theta/dr –> 0 as derived before.

Horst

EMyrone@aol.com hat am 28. Mai 2014 um 11:51 geschrieben:

The attached gives a description of all the main observable features of a whirlpool galaxy, and infers that its spin connection is its angular velocity. It is found that:
1) Any planar orbit becomes a hyperbolic spiral as r goes to infinity if v becomes constant. This is precisely as observed in the spirals of stars in a whirlpool galaxy.
2) The spin connection vanishes in the limit of infinite r if v becomes constant as observed in a whirlpool galaxy.
3) The velocity becomes a straight line in the limit of infinite r if v becomes constant, again as observed in whirlpool galaxies. The stars on the limbs of some spirals are straight lines.
The entire analysis is based on the covariant derivative of Cartan, Eq. (9), so this is a theory of general relativity. The next step is to link it up with the analysis of note 262(1) and UFT261.

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