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Published equation contexts

DA(z∗)D_A(z_*)

Why this formula appears here

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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z∗z_*

Symbol z_*

z∗z_* is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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Published contexts (2)

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DA(z∗)D_A(z_*)

Equation 3 · Astronomy & Cosmology

From Origins to Frontier: A History of Precision Cosmology

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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…

Meanings in this article

  • DAD_A: the angular diameter distance to that same epoch.
Equation guide → · Article →
DA(z∗)D_A(z_*)

Equation 7 · Astronomy & Cosmology

From Origins to Frontier: A History of Precision Cosmology

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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…

Meanings in this article

  • DAD_A: the angular diameter distance to that same epoch.
Equation guide → · Article →