The Banach-Tarski paradox of Banach and Tarski is a statement of mathematics, which demonstrates that the descriptive concept of volume cannot be generalized to arbitrary sets of points.

Afterwards, a sphere can be divided into three or more dimensions in such a way that its parts can be joined together again to form two gapless spheres, each of which has the same diameter as the original.

The volume doubles, without it being evident how volumes should be created from nothing through this process. This paradox demonstrates that the mathematical model of space as a set of points in mathematics has aspects that are not reflected in physical reality.

Disclose.tvUnderstanding The Holographic Universe: The Banach-Tarski Paradox