Consider the following food for thought. (The relevant sources are not widely known, but I’ve satisfied myself they at least point in the right direction.)
I was messing around with some stuff and I realized the following. Though Heim theory was never widely accepted and appears to have been disproven by results from CERN, one explanation I read of it does a great job of explaining certain very odd phenomena that have been reported in the literature.
The idea is as follows: Heim theory puts forth that interactions between structures in four dimensional space and higher order dimensions occur through probability. In other words, that the chance of a given outcome happening in our world of length-height-width-and-time is dictated not just by “randomness” but by some structure or phenomena in dimensions 5 and up.
Consider dice rolling across felt: if they initially touch down a nanometer to the left or a nanometer to the right, it might be the difference between a gambler winning or losing. On a larger scale, it’s called “the butterfly effect.”
Yet we think of dice as random.
To use the Heim theory explanation, structures and phenomena in dimensions five and up aren’t directly capable of interacting with matter. However, nobody’s ever going to check whether you dropped the dice a nanometer to the left or to the right, any more than you can check whether something interfered to determine the outcome of quantum superposition.
In other words, a structure or phenomena existing in a higher dimension could “layer” in, “hiding” its hand in events from the laws of ordinary physics like the drug dealer in “Breaking Bad” hiding his income in the cash receipts of a successful nail salon: https://www.youtube.com/watch?v=SFKDmCbfMS4
 Ludwig, “Informative Medizin”
 Ostrander & Schroeder, “Supermemory”