Cosmic Recoil as a Phenomenological Link Between Baryon Asymmetry and Dynamical Dark Energy

A phenomenological framework relating the observed dark-energy scale to the primordial baryon asymmetry through a scalar recoil field Φ. The central hypothesis is ρΦ ≃ C ρPl η40/3, with η12 motivated by the multi-fermion 't Hooft vertex that inserts all twelve anomalous electroweak doublets simultaneously (sphaleronic selection rule, not additive recoil channels). What is new in v1.11. Joint five-parameter MCMC fit (DESI DR1 BAO + Pantheon+SH0ES + Planck 2018 distance priors) in (H0, Ωm, rd, w0, wa) with emcee: w0 = −0.866+0.069−0.067, wa = −0.564+0.295−0.312. The CPL recoil model is preferred over ΛCDM with Δχ2 = −6.4 and the compressed-CMB tension at fixed H0 is dissolved (χ2CMB, best = 0.002). The data prefer the non-phantom thawing quadrant at ∼2.1σ (P(w0 > −1) ≈ 97.5%, P(wa < 0) ≈ 97.4%). Klein-Gordon FLRW solver for canonical scalar dynamics with the Nieh-Yan kick as initial condition. An axion-like cosine potential with fΦ = M̄Pl and Φi/fΦ = 1 predicts (w0, wa)pred = (−0.904, −0.160), consistent with the MCMC posterior at 1.4σ and reproducing the data-preferred thawing sign of wa. The apparent CPL phantom crossing in the past is shown to be an artifact of the CPL extrapolation outside its regime of validity, not a true dynamical phantom phase (Vikman no-go respected). Cosmic-birefringence prediction from the rolling field: β = cW × 6.92°. Matching the Eskilt-Komatsu PR4 measurement (0.342° ± 0.094°) requires cW ≈ 0.05 (0.04σ agreement), intermediate between a QCD-axion-like coupling and a loop-suppressed photon portal. The rotation is accumulated almost entirely at z ≲ 5, in contrast to an ultralight axion which produces a quasi-uniform integrated phase — a falsifiable distinctive signature. Editorial correction: the multiplicative det 𝔼 structure is explicitly clarified as a sphaleronic-vertex selection rule rather than an additive linear response. Prior content (Nieh-Yan torsion, Einstein-Cartan EFT, torsional running with bSM = 12/6 = 2, perturbation and potential audits, neutrino robustness, EDE/MG comparison) is retained. Supplementary files: recoil_cosmology_v1.11_scripts.zip (all reproducibility scripts including mcmc_full_combined.py, klein_gordon_solver.py, cosmic_birefringence.py); recoil_cosmology_v1.11_outputs.zip (MCMC chain, posterior summaries, KG trajectory, birefringence outputs). Status: speculative phenomenological proposal intended for discussion and independent scrutiny.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-12
DOI
https://doi.org/10.5281/zenodo.20129364
Primary Topic
Dark Matter and Cosmic Phenomena
Type
preprint
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preprint

Cosmic Recoil as a Phenomenological Link Between Baryon Asymmetry and Dynamical Dark Energy

Mauro Toncelli
Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
preprint

Cosmic Recoil as a Phenomenological Link Between Baryon Asymmetry and Dynamical Dark Energy

Mauro Toncelli
preprint en

Abstract

A phenomenological framework relating the observed dark-energy scale to the primordial baryon asymmetry through a scalar recoil field Φ. The central hypothesis is ρΦ ≃ C ρPl η40/3, with η12 motivated by the multi-fermion 't Hooft vertex that inserts all twelve anomalous electroweak doublets simultaneously (sphaleronic selection rule, not additive recoil channels). What is new in v1.11. Joint five-parameter MCMC fit (DESI DR1 BAO + Pantheon+SH0ES + Planck 2018 distance priors) in (H0, Ωm, rd, w0, wa) with emcee: w0 = −0.866+0.069−0.067, wa = −0.564+0.295−0.312. The CPL recoil model is preferred over ΛCDM with Δχ2 = −6.4 and the compressed-CMB tension at fixed H0 is dissolved (χ2CMB, best = 0.002). The data prefer the non-phantom thawing quadrant at ∼2.1σ (P(w0 > −1) ≈ 97.5%, P(wa < 0) ≈ 97.4%). Klein-Gordon FLRW solver for canonical scalar dynamics with the Nieh-Yan kick as initial condition. An axion-like cosine potential with fΦ = M̄Pl and Φi/fΦ = 1 predicts (w0, wa)pred = (−0.904, −0.160), consistent with the MCMC posterior at 1.4σ and reproducing the data-preferred thawing sign of wa. The apparent CPL phantom crossing in the past is shown to be an artifact of the CPL extrapolation outside its regime of validity, not a true dynamical phantom phase (Vikman no-go respected). Cosmic-birefringence prediction from the rolling field: β = cW × 6.92°. Matching the Eskilt-Komatsu PR4 measurement (0.342° ± 0.094°) requires cW ≈ 0.05 (0.04σ agreement), intermediate between a QCD-axion-like coupling and a loop-suppressed photon portal. The rotation is accumulated almost entirely at z ≲ 5, in contrast to an ultralight axion which produces a quasi-uniform integrated phase — a falsifiable distinctive signature. Editorial correction: the multiplicative det 𝔼 structure is explicitly clarified as a sphaleronic-vertex selection rule rather than an additive linear response. Prior content (Nieh-Yan torsion, Einstein-Cartan EFT, torsional running with bSM = 12/6 = 2, perturbation and potential audits, neutrino robustness, EDE/MG comparison) is retained. Supplementary files: recoil_cosmology_v1.11_scripts.zip (all reproducibility scripts including mcmc_full_combined.py, klein_gordon_solver.py, cosmic_birefringence.py); recoil_cosmology_v1.11_outputs.zip (MCMC chain, posterior summaries, KG trajectory, birefringence outputs). Status: speculative phenomenological proposal intended for discussion and independent scrutiny.

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