Well, I'll bite. I'm a physicist and I understand LIGO. What's your alternative explanation?
Maybe you'll find this paper helpful: https://aapt.scitation.org/doi/10.1119/1.18578
Part of the popular confusion around how LIGO works is the freedom in coordinates: there are different, perfectly good definitions of space and time you can use, and the explanation sounds different in each one. So people can get them mixed up. For example, my previous paragraph makes sense in "transverse traceless gauge", but not in others.
I'm not sure what GP was referring to with "higher spatial dimensions".