What question did this study set out to answer?

The research aims to implement Six-Dimensional Geometric Field Theory in a numerical framework to analyze its cosmological predictions.

February 25, 2026Open Access

Cosmological Predictions of Six-Dimensional Geometric Field Theory: Numerical Implementation in hiclass and Comparison with Planck 2018 Data

Puntos clave

The research aims to implement Six-Dimensional Geometric Field Theory in a numerical framework to analyze its cosmological predictions.
Implemented Six-Dimensional Geometric Field Theory in the hi_class Boltzmann solver.
Derived cosmological parameters from two topological constants: Delta and delta.
Conducted a goodness-of-fit analysis against Planck 2018 data.
Calculated chi-squared values to assess model performance.
Achieved a total chi^2 of 12,769.3 against Planck 2018 data.
Improved chi^2 by Delta_chi^2 of -35.9 over the LambdaCDM model.
Predicted dark energy equation of state w_DE approximately -0.931.
Estimated tensor-to-scalar ratio r at 0.013 and isocurvature fraction beta_iso at 1/36.

Resumen

We present the first numerical implementation of the cosmological sector of Six-Dimensional Geometric Field Theory (SDGFT) within the Horndeski gravity Boltzmann solver hiclass. SDGFT derives all cosmological parameters from two topological constants: Delta=5/24 and delta=1/24. Our model achieves a total chi²=12, 769. 3 against Planck 2018 data, an improvement of Deltachi²=-35. 9 over LambdaCDM with zero free parameters. The theory predicts wDE≈-0. 931, r=0. 013, and an isocurvature fraction betaᵢso=1/36, providing sharp falsification criteria for upcoming experiments like Euclid, LiteBIRD, and CMB-S4.

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