How does the core density of a globular cluster (100 to 1000 stars/pc³) compare to the Sun's neighborhood (0.1 stars/pc³)?

Significantly higher

The stellar density within the core of a globular cluster is dramatically higher than the sparse density found in the galactic disk where our Sun resides. The text specifies that the core density can easily reach ranges between 100 to 1000 stars per cubic parsec. In sharp contrast, the density surrounding the Sun is cited as roughly 0.1 stars per cubic parsec. This massive difference means that the average separation between stars in the core is incredibly small—potentially as little as one-third of a light-year—which is approximately thirteen times closer than the distance separating the Sun from its nearest stellar neighbor, Proxima Centauri. This proximity dictates the frequency and intensity of gravitational encounters.