Infinity might not actually exist in the real world; it's probably just a glitch in how we use language.
This paper argues that mathematical infinity is an artifact of our symbolic rules rather than a physical reality. It suggests the universe is strictly finite, and our belief in the infinite is just a byproduct of the recursive nature of human grammar.
The Recursive Illusion: Why Infinity Is a Property of Language, Not of the World
SSRN · 6261778
This paper argues that mathematical infinity is not an intrinsic property of space, matter, or numbers, but a feature of language. Specifically, of any symbolic system powerful enough to support recursive self-reference. What we call "infinite divisibility" is generated by the grammar of mathematical notation (which permits recursive operations such as x/2 without termination), not by the physical or mathematical space itself. The infinity resides in the rule, not in the world the rule describes