  New analysis confirms our earlier claim [1], [7] of circles of notably low
temperature variance, often in concentric sets, in the cosmic microwave
background (CMB), discernable in WMAP data. Their reality can be interpreted as
evidence of supermassive black-hole encounters in a previous aeon, as predicted
by conformal cyclic cosmology (CCC) [2]. Counter arguments [4-6] pointed out
that such circles arise, at similar frequency, also in simulated data using
WMAP's CMB power spectrum, plus random input. We responded [7] that if such
circles contribute to CMB, this influences the power spectrum, enhancing such
circles in simulations. We confirm this here, but show that if the theoretical
LCDM power spectrum is used instead, then the low-variance circles disappear.
This is evidence that the LCDM model gives an incomplete explanation of the
CMB, missing crucial information, which is provided by incorporating
low-variance circles of CCC. The excellent agreement between theoretical LCDM
and observed power spectrum, even for fairly large l-values, does not reveal
this discrepancy, of relevance only at larger l-values where agreement is weak.
We point out various non-random aspects of the circles, seen both in the true
data and in simulations with WMAP power spectrum, but not with the theoretical
LCDM spectrum. We also show the spatial distribution of concentric circle sets
to be very non-random in the true WMAP data (perhaps owing to large-scale mass
inhomogeneities distorting CCC's circle shapes), in complete contrast with
simulations with WMAP power spectrum, where such circle sets are much sparser
and closer to average temperature. These features are fully consistent with CCC
(and with an earlier analysis [8] that the random Gaussian component in the CMB
is only around 0.2 in the total CMB signal) but do not readily fit in with the
random initial fluctuations of standard inflation.
