Abstract
This literature review explores the correlation between the density and size of celestial objects - a key subject in understanding their formation, evolution, and the potential existence of higher-order clusters. It draws attention to the two seminal papers - E. F. Carpenter's density-size correlation study and Gerard De Vaucouleurs's study on matter density in groups and clusters. While acknowledging the limitations and outdated nature of Carpenter's body of work, it underscores the need for a more contemporary, comprehensive examination across various scales from neutron stars to galaxy clusters. The review highlights how such a study can clarify questions surrounding the size and shape of the universe, address Olbers' Paradox, and contribute to theories that describe the universe's origins and dynamics.
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