This paper examines the breakdown of global information measures in cosmological systems. In spacetimes containing horizons and cosmological boundaries, global definitions of information and entropy may fail to remain well-defined across the entire manifold. The analysis explores how causal structure, horizon formation, and boundary constraints restrict the construction of globally consistent information measures. The results suggest that information descriptions in cosmological spacetimes may need to be formulated in fundamentally local terms rather than through globally defined quantities.
Joquin Leyn Pillay (Mon,) studied this question.