What Caused the Big Bang?

Abstract

Yinghao Luo

The real number system is incomplete. The point at infinity seems to be just a tiny point, but there are infinitely many infinite sets at infinity. The point at infinity is incomplete from the perspective of the real number system, so infinitely many infinite sets describing infinity are also incomplete from the point of view of the real number system. The undecidability of the continuum hypothesis in the Zermelo-Fraenkel set theory with the axiom of choice reflects the incompleteness of infinitely many infinite sets. The undecidability of the continuum hypothesis implies that there exists an uncountable proper subset of the set of transcendental numbers, and whether its cardinal number is the cardinal number of the set of real numbers or between the cardinal number of the set of natural numbers and the cardinal number of the set of real numbers is undecidable. This means that it is the incompleteness of the point at infinity and infinitely many infinite sets describing infinity, which may be embodied in the undecidability of the uncountable proper subset of the set of transcendental numbers, that led to the Big Bang some 13.8 billion years ago that eventually gave rise to us.

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