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Understanding the Cosmic Distance Ladder

How the universe is measured, rung by rung — from the geometry of parallax to the exploding stars that reach across the cosmos — and how following the ladder to its top revealed the Hubble tension. Built on real methods and measurements; values are not invented and proposed resolutions are labelled unconfirmed.

Beginner
  1. 1.1Measuring the universeA ladder of distances, each rung on the one below.
  2. 1.2The distance ladderThe rungs, from parallax to standard sirens.
  3. 1.3The tip of the red giant branchAn independent calibration of supernovae.
  4. 1.4Cosmological parametersThe numbers that describe the whole universe.
Intermediate
  1. 2.1The Tully–Fisher relationRotation speed reveals a spiral's true brightness.
  2. 2.2Water megamaser distancesA one-step geometric distance.
  3. 2.3Standard sirensA distance straight from a gravitational wave.
  4. 2.4The matter densityHow much of the universe is matter.
Advanced
  1. 3.1The Hubble tensionA crack between the local and early universe.
  2. 3.2The SH0ES programmeThe local-ladder measurement of the expansion rate.
  3. 3.3Early dark energyOne proposed, unconfirmed resolution.
  4. 3.4The spectral indexThe tilt inflation left in the primordial spectrum.

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