Null test of the dI/dt hypothesis: Constraints on dynamical dark energy from Planck 2018

We test the hypothesis that dark energy density is proportional to the time derivative of information (ρ_DE ∝ dI/dt) using Planck 2018 CMB data. This hypothesis predicts evolving dark energy parametrized by w(z) = w_0 + w_a(1-a). We perform MCMC analysis with 5000 steps using MontePython v3.6.1 and CLASS v3.3.4. **Results (68% CL):**- ω_b = 0.02204 ± 0.00053- ω_cdm = 0.11936 ± 0.01084- H_0 = 68.25 ± 4.08 km/s/Mpc- w_0 = -0.999 ± 0.162- w_a = 0.013 ± 0.261 **Conclusion:** No evidence for dynamical dark energy is found. The data are consistent with the cosmological constant (w_0=-1, w_a=0) at <0.1σ. This null result places an upper limit |w_a| < 0.26 (68% CL). **Files included:**- mcmc_chain.txt - Full MCMC chain (5000 steps)- plots/ - 4 publication-quality figures- test_dark_energy.param - MontePython parameter file- simple.conf - MontePython configuration- RESULTS.md - Full results report **Software:** MontePython v3.6.1, CLASS v3.3.4, Planck 2018 lite likelihood