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Equation 4 · Part 5 · Comparing the Main Approaches to Precision Cosmology

=

w(a)=w0+wa(1−a)w(a) = w_0 + w_a (1 - a)
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Evolving dark energy , in the w0-wa parametrization, keeps the sound horizon alone and instead lets dark energy’s equation of state change with cosmic time: w(a)=w0+wa(1−a)w(a) = w_0 + w_a (1 - a). where a is the cosmic scale factor (a = 1 today) and w = -1 recovers a plain cosmological constant. This is the family DESI’s DR2 BAO release put back on the table: fit jointly to DESI BAO, Planck CMB, and supernovae, a w0-wa model is preferred over flat LambdaCDM at up to several sigma, with the preferred trajectory suggesting dark energy was somewhat more negative than -1 in the past and is evolving toward less negative values now [ 3 , 4 ] .

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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