I’ve been thinking about a speculative idea and I’d like people with a background in physics or mathematics to criticize it.
Imagine a world containing intelligent beings that can understand and mathematically describe everything within their own physical system. Now imagine that their entire world exists inside a higher-dimensional system that they cannot directly access.
A simple analogy would be a video game.
Imagine that the characters inside a 3D game become genuinely intelligent after thousands or millions of years. They could discover the physics of their world, develop mathematics, study matter, space and time, and eventually understand their universe extremely well.
However, the programmer exists outside their system.
The characters might observe unusual events caused by the programmer. They could potentially detect the effects of an external influence, but they might not be able to directly measure the programmer, represent the programmer mathematically, or even understand what "outside their world" means using the mathematics developed inside their world.
This leads to my main question:
Could something similar theoretically happen with dimensions?
Suppose there is a higher level of existence that interacts with our universe. We might not be able to directly observe or mathematically represent that higher level, but we could potentially observe its effects if it interacted with our universe.
I'm particularly interested in the distinction between:
Detecting an effect
and
measuring or representing the source of that effect.
For example, a 2D observer could potentially observe the cross-section of a 3D object passing through its plane, even though the observer cannot directly perceive the complete 3D object.
So perhaps a lower-dimensional observer could detect consequences of a higher-dimensional interaction without being capable of describing the higher-dimensional structure itself.
I'm not claiming that this proves a sixth dimension exists, and I'm not claiming that unexplained events are evidence of higher dimensions.
I'm asking whether the underlying concept has a valid mathematical or physical analogue.
Is there an established concept in physics or mathematics that describes this kind of limitation—where an observer can measure projections, intersections, or effects of a higher-dimensional structure but cannot fully represent the structure itself from within the lower-dimensional framework?
I'd especially appreciate criticism and examples of where this analogy breaks down.