Measuring Vorticity in a Rotating Anisotropic Universe

AI Thread Summary
The discussion centers on the concept of measuring vorticity in a rotating universe, referencing a paper that identifies the 'axis of evil' in the WMAP anisotropy power spectrum as evidence of this rotation. Participants question what the universe rotates relative to, noting the challenges in defining a background for such measurements. The conversation highlights the implications of rotation on the universe's total energy and angular momentum, emphasizing the complexity of measuring these properties without a clear external reference. Additionally, the alignment of cosmic multipoles with the ecliptic raises questions about local versus universal effects. The discussion concludes with the assertion that vorticity can be quantified through the non-zero values of the vorticity tensor.
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I always want to know what the universe is rotating with respect to?

This paper suggests the rotation shows up as the 'axis of evil' in the low l-mode WMAP anisotopy power spectrum. This axis can also be explained as the result of weak lensing of the CMB dipole by large scale structures in the local universe, see Local pancake defeats axis of evil.

Garth
 
I asked a question some time ago about the possiblity that the universe
may be rotating, but does it need some (back ground) to rotate in respect
to? if it was rotating, would the total energy in the universe increase, i
suspect it must, how could the rotation rate be found? with no (back ground) to refer to.
 
Who determines the 'background'?

Garth
 
Garth said:
Who determines the 'background'?

Garth
Nobody could. And who would be "outside" to measure total angular momentum?
 
Garth said:
I always want to know what the universe is rotating with respect to?

This paper suggests the rotation shows up as the 'axis of evil' in the low l-mode WMAP anisotopy power spectrum. This axis can also be explained as the result of weak lensing of the CMB dipole by large scale structures in the local universe, see Local pancake defeats axis of evil.

Garth
Question for you or anyone. I'm not much of a "Cosmo" guy as I am general astronomy and a bit more on stellar evolution (many would doubt). On the paper you mentioned above, when they say on page one that:
In addition, it is now known that the octopole is highly planar and aligned with the quadrupole (Schwarz et al. 2004; de Oliveira-Costa et al. 2004), and that the planes defined by these multi-poles is perpendicular to both the dipole and the ecliptic.
what do they mean by the term "ecliptic"? Our ecliptic is known to anybody but is there a galactic, local group or supercluster group ecliptic defined that I haven't been aware of? If they mean our ecliptic, it seems too much of a coincidence to be anything but a local effect and local even since the axis (both) point toward the Virgo cluster. On the scale of the universe even the Virgo cluster seems local to me.(?)
 
Consider all the possible (timelike) geodesics for a non-interacting bunch of galaxies in a region of spacetime. These possible geodesics form a congruence, i.e., any event in the region lies on one, and only one, geodesic. Think of flow lines.

Roughly, the universe is rotating everywhere in the region if every geodesic in the congruence rotates about every other geodesic in the congruence. This is measurable. There is non-zero rotation when the the vorticity tensor \omega_{ab} = \nabla_{\left[ a \right.} U_{\left. b \right]} is non-zero

Here:

1) \nabla is the covariant derivative operator;
2) the square brackets denote an anti-symmetrizer;
3) U is th (4-velocity) field of tangent vectors to the geodesics.

Regards,
George
 
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