Left: predicted IR luminosity and SFR as a function of redshift for dust continuum detections of S 850 μm = 1 mJy (black lines) and S 1,1 mm = 0.4 mJy (blue lines), using a modified blackbody function with a dust emissivity index of β = 1.8 and dust temperature of 35 or 75 K (solid and dashed lines, respectively). For comparison, we show the SFRs of all the z > 10 galaxy candidates reported by Donnan et al. (2023) based on JWST/NIRCam observations in several fields. Note that the CMB effects are taken into account following da Cunha et al. (2013). The yellow line shows the predictions ignoring the extra heating produced by CMB photons, which results in a lack of contrast between the CMB and the dust emission at any redshift greater than T D = T CMB(z) (for clarity, this is only shown for the 850 μm emission and for T D = 35 K). Right: predicted dust mass as a function of redshift for the same set of SEDs. In addition, we plot the exclusion curves at 1σ, 2σ, and 3σ in the mass–redshift plane to illustrate the maximum dust mass of a galaxy allowed by ΛCDM cosmology within the volume covered by CEERS (see details in the main text). Based on these results, we conclude that any submillimeter/millimeter detection in the CEERS field (or any other field of similar area) with a flux density similar to that from CEERS-DSFG-1 or from the tentative emission around CEERS-93316 is unlikely to come from a z ≳ 10 galaxy.