What question did this study set out to answer?

The aim is to develop a simple disformal profile that matches the observed slope of the radial acceleration relation at a specific acceleration scale.

March 4, 2026Open Access

Minimal Disformal Ansatz and Two-Scale Constraints for the Radial Acceleration Relation in RCD

Key Points

The aim is to develop a simple disformal profile that matches the observed slope of the radial acceleration relation at a specific acceleration scale.
Constructed an effective disformal profile h(g_bar) that aligns with the observed slope.
Utilized a two-parameter ramp-and-cut profile with specific values to analyze outcomes.
Combined the disformal profile with a conformal S3 kinetic function for analysis.
Achieved a slope of 0.608 at a_0, closely matching the observed value of approximately 0.6.
Obtained a boost factor of 1.584 indicating enhanced acceleration properties.
Established the existence window for h_0 between 0.38 and 0.44, informing future investigations.

Abstract

We construct the simplest effective disformal profile h (gbar) that achieves the observed RAR slope at a₀ within the spherical QS proxy. Combined with the conformal S3 kinetic function, a two-parameter ramp-and-cut profile (h₀=0. 40, gₛ=2a₀) yields slope 0. 608 at a₀ (observed ~0. 6), boost 1. 584, and Cassini safety (h~10^-15 at Saturn). The existence window is h₀ in 0. 38, 0. 44.

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