Model Playground — Interactive Parameter Explorer

Interactive parameter explorer for the chameleon scalar-tensor model. Adjust k, x_m, Ω_m, w₀, and w_a in real time and observe effects on dark energy equation of state and field screening.

Adjustable Parameters

k — cosmological coupling constant. MCMC best fit: 1.92. Range: 0.5–3.0. Controls the exponential amplification in E(C) = mc²·e^(kC) and all derivative force predictions.
x_m — Horndeski running-sector coupling. MCMC posterior mode: 0.026 (DEFINITIVE · Paper LXXIII · Jul 1 2026). Range: 0–0.05. Controls propulsion force magnitude F_prop and NANOGrav slope.
Ω_m — matter density fraction. Planck 2018 best fit: 0.315. Range: 0.2–0.5.
w₀ — CPL dark energy today. MCMC: −0.967. Range: −1.5 to −0.5.
w_a — CPL dark energy evolution. MCMC: 0.06. Range: −0.5 to +0.5.

Live Outputs

The playground computes in real time: w_eff(z) dark energy equation of state, distance-redshift D_C(z), chameleon screening profile S(ρ), propulsion force F_prop(m, A), and biological Pe(r) as a function of all five input parameters simultaneously. All outputs are consistent with the single-parameter-set constraint: every scale must use the same k and x_m.