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arXiv · 2601.09593

The pseudo-complex Friedmann Lemaitre Robertson Walker model and the time dependence of the Hubble constant

L. Maghlaoui·P. O. Hess·F. Weber·C. A. Zen vasconcellos
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Abstract

The pseudocomplex version of the FLRW model is presented within the framework of pseudocomplex General Relativity (pcGR). In this approach, dark energy arises as a geometric consequence of the pseudocomplex structure, leading to a time dependent Hubble parameter rather than a strictly constant H0. The relation between the tiderived and constrained using recent DESI BAO data. Fitting beta yields a best-fit value beta = 1.0426, corresponding to a deceleration parameter q = -0.9361 and a present day Hubble acceleration me derivative of the Hubble parameter and a single geometric parameter beta in the effective dark energy equation of state is derived and constrained using recent DESI BAO data. Fitting beta yields a best-fit value beta = 1.0426, corresponding to a deceleration parameter q = -0.9361 and a present day Hubble acceleration H0 sim 0.94 x10-17 (km/s2)/Mpc. Using the exact Sandage Loeb relation, the predicted redshift drift over 20 years for a source at z = 4 is Delta-v sim -11.1 cm/s, in close agreement with the Lambda CDM prediction. In pcGR, however, the non-vanishing H0 is a direct geometric prediction, providing a clear and testable target for future high-precision spectroscopic observations.

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L. Maghlaoui, P. O. Hess, F. Weber, C. A. Zen vasconcellos. 2026-01-14. The pseudo-complex Friedmann Lemaitre Robertson Walker model and the time dependence of the Hubble constant. https://arxiv.org/abs/2601.09593

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