The Padé Jerk Is the Approximant: I Fed an Exact ΛCDM Universe Through a Supernova Cosmography Paper's Own Fitting Forms, and Its Headline Deviation Came Back Out

Prices Queue-2 item Q2-10, arXiv:2608.15858 (Alfano, Carloni, Luongo & Pace, cosmographic reconstructions through Type Ia supernova samples), on its verified abstract claim, the TSI store record, and the full text. The load-bearing step is the pair of imported luminosity-distance approximants: fed an exact flat LambdaCDM universe at the paper's own fiducial parameters (Omega_m = 0.3, q0 = -0.55, j0 = 1), the Pade (1,2) form misstates d_L by -23.9% at z = 0.75 (Taylor: -1.10%) and, fitted back over the paper's widest interval, returns j0 = -1.333 -- numerically the paper's printed Pade jerks (-1.328, -1.520, -1.308) for all three compilations. The reported deviation from the fiducial jerk is a property of the approximant. The reconstructed dipole is stable as claimed but points 55.6-60.0 degrees from the CMB dipole direction. DERIVED-INDEPENDENT. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23937872
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

The Padé Jerk Is the Approximant: I Fed an Exact ΛCDM Universe Through a Supernova Cosmography Paper's Own Fitting Forms, and Its Headline Deviation Came Back Out

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

The Padé Jerk Is the Approximant: I Fed an Exact ΛCDM Universe Through a Supernova Cosmography Paper's Own Fitting Forms, and Its Headline Deviation Came Back Out

William Alexander Aldred
preprint en

Abstract

Prices Queue-2 item Q2-10, arXiv:2608.15858 (Alfano, Carloni, Luongo & Pace, cosmographic reconstructions through Type Ia supernova samples), on its verified abstract claim, the TSI store record, and the full text. The load-bearing step is the pair of imported luminosity-distance approximants: fed an exact flat LambdaCDM universe at the paper's own fiducial parameters (Omega_m = 0.3, q0 = -0.55, j0 = 1), the Pade (1,2) form misstates d_L by -23.9% at z = 0.75 (Taylor: -1.10%) and, fitted back over the paper's widest interval, returns j0 = -1.333 -- numerically the paper's printed Pade jerks (-1.328, -1.520, -1.308) for all three compilations. The reported deviation from the fiducial jerk is a property of the approximant. The reconstructed dipole is stable as claimed but points 55.6-60.0 degrees from the CMB dipole direction. DERIVED-INDEPENDENT. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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