TL;DR
The paper proposes that increasing complexity near the Big Bang could lead to non-calculability, suggesting an infinite complexity growth that prevents reaching the universe's initial moment, inspired by symmetries in gravity theories.
Contribution
It introduces an alternative hypothesis linking infinite complexity growth to the initial singularity, grounded in Kac--Moody symmetries and Einstein's theory.
Findings
Complexity increases infinitely towards the singularity.
Infinite-dimensional duality symmetries relate to complexity growth.
Potential non-calculability obstructs reaching the initial time.
Abstract
After a brief review of current scenarios for the resolution and/or avoidance of the Big Bang, an alternative hypothesis is put forward implying an infinite increase in complexity towards the initial singularity. This may result in an effective non-calculability which would present an obstruction to actually reaching the beginning of time. This proposal is motivated by the appearance of certain infinite-dimensional duality symmetries of indefinite Kac--Moody type in attempts to unify gravity with the fundamental matter interactions, and deeply rooted in properties of Einstein's theory.
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