> A growing number of theorists explore the possibility that space is not continuous, but rather discrete at the smallest scales.

> This discreteness hypothesis implies that given two different points in space, there is no continuous curve (a world line) joining them.

Quantum mechanics, non-locality, and the space discreteness hypothesis - https://arxiv.org/abs/2508.14836

> Finite Nature is the assumption that, at some scale, space and time are discrete and that the number of possible states of every finite volume of space-time is finite. In other words Finite Nature assumes that there is no thing that is smooth or continuous and that there are no infinitesimals.

http://www.ai.mit.edu/projects/im/ftp/poc/fredkin/Finite-Nat...

Remembering the Improbable Life of Ed Fredkin - https://writings.stephenwolfram.com/2023/08/remembering-the-...