WMAP and Planck CMB Anisotropy Maps
Cosmological parameters to percent-level precision
First published: C. L. Bennett et al. (WMAP), "First-Year WMAP Observations", *ApJS* 148 (2003): 1; Planck Collaboration, "Planck 2018 results", *A&A* 641 (2020).
Tiny temperature variations in the CMB (one part in 100,000) encode the geometry, content, and age of the universe to percent precision.
The temperature anisotropies of the cosmic microwave background — variations of ~10⁻⁵ on the 2.725 K mean — encode the entire content of the early universe. COBE (1992) detected the anisotropies; WMAP (2003) and Planck (2013, 2015, 2018) mapped them at increasing angular resolution. Fitting the angular power spectrum against ΛCDM yields cosmological parameters: H₀ ≈ 67.4 km/s/Mpc, Ω_m ≈ 0.315, Ω_Λ ≈ 0.685, age 13.8 Gyr, all to percent precision. The maps also constrain inflation, primordial non-Gaussianity, and the optical depth to reionisation. The CMB anisotropies are the single most consequential dataset in modern cosmology.
Formulation
All-sky maps of CMB temperature (and polarisation) at multi-frequency. Decompose into spherical harmonics; compute angular power spectrum C_ℓ. Fit ΛCDM-derived prediction to data: extract 6 cosmological parameters (H₀, Ω_b, Ω_c, n_s, A_s, τ) plus derived (Ω_Λ, age, etc.). Statistical errors at percent or sub-percent level.
Dimensions Engaged
Time
Pins universe age to ±20 Myr.
Matter
Determines baryon and cold-dark-matter densities to percent precision.
Space
Confirms spatial flatness to ~0.5%.
Energy
Establishes dark-energy density and equation of state.
Responses — How Schools Engage
Affirms / takes the bait 4
A foundational triumph of empirical cosmology: a precise quantitative model of the early universe fitted to extraordinary precision.
The cosmological parameters are real features of the universe, measured to percent precision; the early universe is empirically reconstructed.
The block universe accommodates a precisely-dated early-universe state; CMB maps are slices through cosmic history.
Operationally exemplary: a 6-parameter quantitative model is fitted to high-precision data, yielding empirically constrained values for fundamental cosmological quantities.
Reframes the question 2
Inflationary cosmology (which CMB confirms) generically predicts eternal inflation and a multiverse; the CMB is the strongest indirect evidence for that framework.
A finite-age universe with quantitatively-characterised origin is congenial to creation cosmology; theological commitments accommodate but do not depend on specific values.
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Further reading
- Planck Collaboration (2020), op. cit.
- Hu & Dodelson, "Cosmic Microwave Background Anisotropies" (2002)
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