A First Internal CLASS Implementation of the GRP Tracked Memory Branch: A Late-Soft mu-Sigma Test
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| Lingua: | inglese |
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2026
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| _version_ | 1866902245018173440 |
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| author | Lane-larquey, Olivier |
| author_facet | Lane-larquey, Olivier |
| contents | <p>This companion note presents a first internal CLASS implementation of the effective mu-Sigma projection of the tracked-memory branch of the Geometric Relay Programme (GRP).</p> <p> </p> <p>The implementation is based on the perturbative closure developed in the companion v9 paper on memory-mediated cold closure. The GRP relay response is projected into an effective dynamical-lensing split, encoded by two time-dependent functions mu(a) and Sigma(a). This is not yet a full relay-field Boltzmann implementation, but a controlled perturbation-level insertion of the GRP late-soft branch into CLASS.</p> <p> </p> <p>The patch is applied internally at the perturbation/source level rather than as a post-processing rescaling. A matched Lambda-CDM control run is used for comparison. The resulting CLASS outputs include CMB spectra, lensed spectra, matter power spectra P(k,z), sigma8, and ratio diagnostics.</p> <p> </p> <p>The first numerical results show a mild and stable deviation from Lambda-CDM. The sigma8 shift is approximately +0.30 percent. The robust matter-power deviation remains below the percent level over the central k-range, with Delta P/P around 0.6 percent at the lowest tested redshift and rapidly decreasing at higher redshift. The CMB spectra show no apparent spectral instability. Large-scale edge-grid excursions near k = 10^-5 Mpc^-1 are identified and treated separately as numerical or large-scale stability diagnostics.</p> <p> </p> <p>This record includes the paper, the LaTeX source, the reproducibility script, and the Colab notebook used to perform the CLASS and comparison workflow. The document should be read as a numerical companion to the GRP memory-closure v9 paper, not as a final full-field implementation of the relay dynamics.</p> <p> </p> <p>Epistemic status: A- numerical milestone for the effective GRP mu-Sigma CLASS projection; full relay-field Boltzmann implementation, MCMC inference, BAO, S8, f sigma8, and multi-observable constraints remain open.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20375060 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A First Internal CLASS Implementation of the GRP Tracked Memory Branch: A Late-Soft mu-Sigma Test Lane-larquey, Olivier Geometric Relay Programme Geometric Relay Theory Entangled Relativity CLASS Boltzmann solver mu-Sigma parametrization cosmological perturbations modified gravity dark matter alternatives CMB spectra matter power spectrum sigma8 gravitational lensing Mori-Zwanzig projection memory closure tracked memory branch Lambda-CDM cosmology <p>This companion note presents a first internal CLASS implementation of the effective mu-Sigma projection of the tracked-memory branch of the Geometric Relay Programme (GRP).</p> <p> </p> <p>The implementation is based on the perturbative closure developed in the companion v9 paper on memory-mediated cold closure. The GRP relay response is projected into an effective dynamical-lensing split, encoded by two time-dependent functions mu(a) and Sigma(a). This is not yet a full relay-field Boltzmann implementation, but a controlled perturbation-level insertion of the GRP late-soft branch into CLASS.</p> <p> </p> <p>The patch is applied internally at the perturbation/source level rather than as a post-processing rescaling. A matched Lambda-CDM control run is used for comparison. The resulting CLASS outputs include CMB spectra, lensed spectra, matter power spectra P(k,z), sigma8, and ratio diagnostics.</p> <p> </p> <p>The first numerical results show a mild and stable deviation from Lambda-CDM. The sigma8 shift is approximately +0.30 percent. The robust matter-power deviation remains below the percent level over the central k-range, with Delta P/P around 0.6 percent at the lowest tested redshift and rapidly decreasing at higher redshift. The CMB spectra show no apparent spectral instability. Large-scale edge-grid excursions near k = 10^-5 Mpc^-1 are identified and treated separately as numerical or large-scale stability diagnostics.</p> <p> </p> <p>This record includes the paper, the LaTeX source, the reproducibility script, and the Colab notebook used to perform the CLASS and comparison workflow. The document should be read as a numerical companion to the GRP memory-closure v9 paper, not as a final full-field implementation of the relay dynamics.</p> <p> </p> <p>Epistemic status: A- numerical milestone for the effective GRP mu-Sigma CLASS projection; full relay-field Boltzmann implementation, MCMC inference, BAO, S8, f sigma8, and multi-observable constraints remain open.</p> |
| title | A First Internal CLASS Implementation of the GRP Tracked Memory Branch: A Late-Soft mu-Sigma Test |
| topic | Geometric Relay Programme Geometric Relay Theory Entangled Relativity CLASS Boltzmann solver mu-Sigma parametrization cosmological perturbations modified gravity dark matter alternatives CMB spectra matter power spectrum sigma8 gravitational lensing Mori-Zwanzig projection memory closure tracked memory branch Lambda-CDM cosmology |
| url | https://doi.org/10.5281/zenodo.20375060 |