Information-Driven Gravity (IDG): Exploratory Cosmological Tests of a Scalar Information Field

This version presents exploratory cosmological tests of an Information-Driven Gravity (IDG) framework in which gravitational dynamics are influenced by an ultra-light scalar field associated with information density. The model is investigated using numerical simulations inspired by Boltzmann-solver cosmology pipelines. The goal is to evaluate whether the proposed framework can reproduce the baseline predictions of the standard ΛCDM cosmology while introducing small scale-dependent deviations that may be testable with current or future observations. The analysis focuses on several key cosmological observables: • Matter power spectrum P (k) • Cosmic microwave background (CMB) temperature power spectrum C_ • Matter power spectrum residuals relative to ΛCDM • CMB spectrum residuals relative to ΛCDM Results show that the IDG model reproduces the large-scale structure predictions of ΛCDM with deviations at the level of approximately 1–2% around scales k 0. 05–0. 1\, h/Mpc. These scales correspond to galaxy clustering regimes probed by modern surveys. The CMB temperature spectrum remains largely consistent with ΛCDM predictions, indicating that the model does not strongly perturb early-universe acoustic physics. While the current analysis is exploratory and does not include full Bayesian parameter estimation against observational datasets, the results demonstrate that an information-related scalar field can produce stable cosmological behavior with small, scale-dependent modifications. Future work will investigate parameter constraints using cosmological survey data and further explore potential implications for structure growth and cosmological tensions.