S8 Tension

May 1, 2025

The Subaru Telescope in Hawaii, using the Hyper Suprime-Cam, conducted a deep sky survey from the University of Tokyo, reported an S8 value of 0.747, consistent with prior lensing estimates.

What is S8?

  • S8 (Sigma Eight) is a parameter used in cosmology to quantify the "clumpiness" or clustering of matter in the universe on a scale of about 26 million light-years.
  • It helps determine how much matter (both visible and dark) is clustered in different cosmic regions.

Background

  • The universe began with the Big Bang ~13.8 billion years ago, starting off highly uniform, as revealed by the Cosmic Microwave Background (CMB).
  • Small fluctuations in density (1 in 100,000) eventually evolved into galaxies, star clusters, and filaments, forming the lumpy structure of the present universe.

What is the S8 Tension?

  • The S8 tension refers to the mismatch in the value of S8 as obtained by:
    • CMB measurements (higher value).
    • Cosmic shear/lensing surveys (lower value).
  • This discrepancy challenges the ΛCDM (Lambda Cold Dark Matter) model, the standard model of cosmology.

Cosmic Microwave Background (CMB)

  • CMB is a sea of photons, the particles of light, present throughout the universe. They are left over from the Big Bang, its afterglow.
  • Scientists have measured temperature changes in the CMB and studied its large-scale properties using complicated trigonometry.
  • Based on these studies, cosmologists have estimated space to be expanding at around 68 kilometres per second per megaparsec ((km/s)/Mpc). That is, an object one megaparsec (3.26 million lightyears) away is moving away at 68 km/s)/Mpc.

Cosmic Shear & Gravitational Lensing

  • Cosmic shear refers to the distortion in galaxy shapes due to gravitational lensing by intervening matter.
  • This lensing helps map dark matter distribution and provides an indirect method to calculate S8.
  • Lower S8 from lensing suggests less clumping than expected.

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