What question did this study set out to answer?

To investigate how Chrono-Grid Dynamics can simulate dark matter effects and address the H0 tension.

March 31, 2026Open Access

Emergent Dark Matter from Geometric Inertia: A Chrono‑Grid Dynamics Approach to CMB Anisotropies and the H₀ Tension

Key Points

To investigate how Chrono-Grid Dynamics can simulate dark matter effects and address the H0 tension.
Developed a model using Chrono-Grid Dynamics with discrete time (Takt τ).
Applied scale-dependent effective gravitational constant in modified CLASS code.
Analyzed CMB anisotropies against Planck 2018 data.
Achieved excellent fit with Planck data, with χ_red² approximately 1.08.
Resolved the H0 tension with a derived value of approximately 73.1 km/s/Mpc.
Estimated uncertainty of about 1.2 km/s/Mpc in the H0 measurement.

Abstract

We show that Chrono-Grid Dynamics (CGD), characterized by a fundamental temporal discreteness (the Takt), mimics cold dark matter (CDM) through a non-local gravitational response. Utilizing the fundamental relation 8 G = ² and the RG flow of the R² coupling from the UV fixed point a^* 0. 17, we derive a dimensionless inertia parameter ₀ 6. 24. By implementing a scale-dependent G₄₅₅ (k, a) in a modified CLASS code, we find that the CGD framework provides an excellent visual agreement with Planck 2018 data (ₑ₄₃² 1. 08 in preliminary grid scans) while naturally resolving the H₀ tension with a preferred value of H₀ 73. 1 km/s/Mpc (with an uncertainty of about 1. 2 km/s/Mpc estimated from the grid spread). This work bridges Planck-scale quantum geometry and cosmological observations. abstract

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