An LLM has never had any analogous physical experiences so it doesn't know what either is. In fact a text model has never seen a car.
You don't need experience, you need some basic concepts.
And it is precisely because higher mathematics is so far abstracted away from physical experience is the reason why many people struggle with it.
Besides, many great mathematicians have explained their knowledge as an "experience" even "spiritual experience". Not all experiences are physical. Ramanujan described his experience of mathematics as lights and sounds and patterns, and this is common among geniuses.
> you need some basic concepts
Agreed. All basic concepts are an experience.
There are a ton of things you can learn without experiencing it yourself and without analogues. For example, car crashes are bad to be in. Even though I have not personally experienced one, nor have I experienced some analogue of it.
https://plato.stanford.edu/entries/qualia-knowledge/
https://courses.physics.illinois.edu/phys419/sp2021/Jackson1...