Bubble Experiment Finds Universal Laws
quantamagazine.org
quantamagazine.org
As a thought experiment this would make me think that : postulate: The universe must be constrained at least when going to the small. And if it is constrained when going to the small it has to be confined when going to the big as well.
Now one brave soul to proof that.
Roger Penrose has suggested as the universe spreads out and you get a very large, boring, empty universe it will eventually become equivalent mathematically to a very small, dense universe and another “Big Bang” will occur, not because the universe got small but because the big started looking the same as the small.
Or something.
A similar problem occurred in the formation of drops and bubbles where at those tiny scales right before it pinches off molecular effects come in to play.
However, through a mathematical method, scientists were able to ignore those molecular effects.
Black strings are entirely hypothetical. Scientists are hoping they can be pinched off in the same way as bubbles and that, if they can, they can use the same method above to ignore quantum effects (in the way molecular effects are ignored in bubbles). If so, it could (theoretically) be applied to the study of black holes, allowing scientists to study black holes without a quantum theory of gravity.
So, while the fifth dimension is at the moment largely theoretical, it holds some interest in the field of gravitational physics due to some elegant constructions that fall out of it. It may be that the scalar field it predicts could describe dark matter: https://arxiv.org/abs/hep-ph/0207125.
The gauge group of the Standard Model, i.e., including electroweak and strong interactions, is SU(3) X SU(2) X U(1) (modulo some technicalities that I don't think matter for this discussion). This is a six-dimensional group, so you need six compactified dimensions in addition to the four dimensions of spacetime that we know in order to construct a Kaluza-Klein/string theory type model that includes all the Standard Model interactions. AFAIK the Calabi-Yau manifolds that are talked about in string theory are examples of six-dimensional compactified spaces that can be used in such a model.