Doubly Logarithmic Corrections to Radiation Domination from CET Ω: Theory and Planck/BBN Constraints
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| Format: | Preprint |
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2026
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| _version_ | 1866911602965479424 |
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| author | Balfagon, Christian |
| author_facet | Balfagon, Christian |
| contents | We present the CET Omega framework, a causal-informational extension of standard cosmology that predicts a universal doubly logarithmic correction to the radiation energy density in the early Universe. This correction arises naturally from scale-invariant spectral sectors with logarithmically-running infrared scales and represents a low-energy manifestation of the full CET Omega theory. We derive the doubly logarithmic form from two complementary perspectives -- spectral integration and renormalization group flow -- and perform a full Markov Chain Monte Carlo analysis jointly varying six LambdaCDM parameters and alpha_log, using Planck 2018 TT, TE, EE + lowE likelihoods and BBN constraints. The result, alpha_log = -0.008 +/- 0.006 (68\% C.L.), is consistent with zero. We identify the expected N_eff degeneracies with H0 and n_s, establish the first observational bound |alpha_log| <= 0.006, and demonstrate that future CMB-S4 measurements can probe |alpha_log| ~ 10^{-3}. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_16478 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Doubly Logarithmic Corrections to Radiation Domination from CET Ω: Theory and Planck/BBN Constraints Balfagon, Christian General Physics 83F05, 85A40 We present the CET Omega framework, a causal-informational extension of standard cosmology that predicts a universal doubly logarithmic correction to the radiation energy density in the early Universe. This correction arises naturally from scale-invariant spectral sectors with logarithmically-running infrared scales and represents a low-energy manifestation of the full CET Omega theory. We derive the doubly logarithmic form from two complementary perspectives -- spectral integration and renormalization group flow -- and perform a full Markov Chain Monte Carlo analysis jointly varying six LambdaCDM parameters and alpha_log, using Planck 2018 TT, TE, EE + lowE likelihoods and BBN constraints. The result, alpha_log = -0.008 +/- 0.006 (68\% C.L.), is consistent with zero. We identify the expected N_eff degeneracies with H0 and n_s, establish the first observational bound |alpha_log| <= 0.006, and demonstrate that future CMB-S4 measurements can probe |alpha_log| ~ 10^{-3}. |
| title | Doubly Logarithmic Corrections to Radiation Domination from CET Ω: Theory and Planck/BBN Constraints |
| topic | General Physics 83F05, 85A40 |
| url | https://arxiv.org/abs/2604.16478 |