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Equation 9 · Part 2 · From Origins to Frontier: A History of Precision Cosmology

subscript

H0H_0
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

where r∗r_* is the physical size of the sound horizon at recombination — how far a pressure wave in the primordial plasma could travel before the plasma became neutral and transparent — and DA(z∗)D_A(z_*) is the angular diameter distance to that same epoch. Planck measures θ∗\theta_* directly from the angular spacing of peaks in the CMB power spectrum to extraordinary precision; converting that angle into a present-day expansion rate H0H_0 requires assuming a cosmological model (matter content, radiation content, and the equation of state of dark energy) to relate r∗r_* and DA(z∗)D_A(z_*) to H0H_0 . This is the crux of the tension discussed below: Planck’s H0H_0 is a model-dependent inference from an early-universe…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

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