## Omega Syndrome

Starring: Doug McClure, spatial curvature

Spatial curvature was completely irrelevant at z>1000, when
the acoustic oscillations were created. Omega_k therefore
doesn't change the shape of the peaks at all - it merely
shifts them sideways, since the conversion from the physical
scale of the wiggles (in meters) into the angular scale
(in degrees, or multipole l) depends on whether space is curved.
If space has negative curvature (positive Omega_k), like
a Pringles potato chip or a saddle, then the angle subtended on the
sky decreases, shifting the peaks to the right.
If space has positive curvature, like a balloon, then the
peaks shift to the left.

In addition to shifting the peaks sideways, curvature also
causes fluctuations in the gravitational field to decrease over time.
This means that if a photon flies though a potential well on the way
to us, its blueshift from falling in will exceed
its redshift from climbing out. Since these extra fluctuations
in the photon temperature (known as the late ISW effect)
happen at late times, they show up
on large scales (to the left in the power spectrum).