The reason we live in a three-dimensional world plus time is a mathematical necessity baked into the universe's basic algebra.
The four-dimensional structure of our universe is a requirement for a consistent supersymmetric quantum vacuum. This research suggests that the number of dimensions we experience is not a random accident or a dynamical result of the Big Bang. Physicists have long wondered if the universe could have just as easily had five or ten dimensions. This mathematical proof shows that any other configuration would be unstable or impossible according to the IIB matrix model. Our existence in 4D space is essentially the only way the math of the universe can actually work. It provides a definitive answer to one of the most profound questions in science.
On the Algebraic Origin of Four-Dimensional Space-time in the IIB Matrix Model: Dimensional Selection via Rigid Supersymmetry
arXiv · 2605.03611
This paper presents a novel analytical derivation of four-dimensional (4D) space-time within the framework of the IIB matrix model (IKKT model). We address the long-standing question of why our universe exhibits a (3+1)-dimensional structure from a non-perturbative perspective. By investigating the consistency between quantum-induced radial corrections in the all-loop effective action and the geometric requirement of a rigid supersymmetric algebra, we identify a fundamental consistency filter. I