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The cosmic microwave background temperature at $z=0.886$ is known to $2%$ from molecular absorption towards PKS~1830$-$211; CO absorbers and Sunyaev-Zel'dovich clusters extend the measurement to z3. We use them on a question that cosmologies with torsion leave open. When the geometry exchanges energy with several matter components, which of them receives it? In Einstein-Cartan theory the Noether identities of each sector fix the answer. A sector's energy-momentum fails to be conserved only in proportion to its own spin, so minimally coupled light, which has none, is conserved whatever the torsion does. A metric-affine cosmology fitted to DESI DR2 distributes the exchange ``universally'' among all fluids, radiation included; the photons then gain almost a third of their energy. If the photons stay a blackbody, as FIRAS requires of any source set by local conditions, the model predicts a background colder than T₀(1+z) by $7%$ at z0.9 and by $8.5%$ at z3, with no free parameter. PKS~1830$-$211 gives 5.08±0.10\,K against a predicted 4.78\,K; with the CO absorbers it favours the standard scaling by Δχ²=13, and 18 Planck cluster bins give χ²=50.8 versus $15.5$. Under the same reading the primary anisotropies would change their spectral shape by amounts Planck excludes. If dark matter carries the spin instead, $H(z)$ moves by less than 10⁻⁴ below $z=3$ at the fitted parameters and $T(z)$ is standard again.
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Izaurieta et al. (2026) studied this question.
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