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arXiv · 1310.4278

Horizon Run 3: Topology as a Standard Ruler

Robert Speare·J. Richard Gott·Juhan Kim·Changbom Park
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Abstract

We study the Physically Self Bound Cold Dark Matter Halo distribution which we associate with the massive galaxies within the Horizon Run 3 to estimate the accuracy in determination of the cosmological distance scale measured by the topology analysis. We apply the routine "Contour 3D" to 108 Mock Survey of $π$ steradians out to redshift z = 0.6, which effectively correspond to the SDSS-III BOSS survey, and compare the topology with that of a Gaussian Random Phase Field. We find that given three separate smoothing lengths $λ=$ 15, 21, and 34 $h^{-1}{\rm Mpc}$, the least $χ^2$ fit genus per unit volume g yields a 1.7 % fractional uncertainty in smoothing length and angular diameter distance to $z = 0.6$. This is an improvement upon former calibrations of and presents a competitive error estimate with next BAO scale techniques. We also present three dimensional graphics of the Horizon Run 3 spherical mock survey to show a wealth of large-scale structures of the universe that are predicted in surveys like BOSS.

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Robert Speare, J. Richard Gott, Juhan Kim, Changbom Park. 2013-10-16. Horizon Run 3: Topology as a Standard Ruler. https://doi.org/10.1088/0004-637x%2F799%2F2%2F176

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