The concept of the "center of the universe" is a bit ambiguous in the field of cosmology. From a mathematical standpoint, we typically define the center of an object or system as a point that is equidistant from all other points in that object or system. However, when it comes to the universe as a whole, determining a precise mathematical definition of its center becomes challenging due to its vast and complex nature.
In the context of an infinite universe, the notion of a center becomes even more difficult to define. An infinite universe has no boundaries or edges, and it extends infinitely in all directions. Therefore, it does not have a well-defined center in the traditional sense. In such a universe, every point can be considered as the center from its own perspective, as there is no preferred reference point.
In cosmology, scientists often use a different concept called the "cosmological principle" as a guiding assumption. The cosmological principle states that, on a large scale, the universe is homogeneous and isotropic. Homogeneity implies that the universe looks the same at any given point, meaning there are no preferred locations or centers. Isotropy indicates that the universe appears the same in all directions, suggesting there is no preferred direction or axis.
It's important to note that the concept of the center of the universe is more of a philosophical or metaphysical question rather than a strictly mathematical one. The prevailing scientific understanding suggests that the universe does not have a distinct center but rather expands uniformly on a large scale.