The cognitive barrier in
understanding or proving the existence of spatial dimensions beyond our 3D perception. We can describe them
mathematically, but cannot visualize or directly experience them. Any purported evidence of higher dimensions (like unexplained forces or entities) is
necessarily filtered through our 3D senses and instruments, meaning it will always appear as a mysterious anomaly within our known physics, not as clear proof of "other dimensions." The gap between the math and the manifest experience is unbridgeable.
*Example: "The mystic said he perceived 4D shapes during meditation. The hard problem of N-Dimensionality: any
description he gives will be a 3D shadow or metaphor ('it was like a constantly turning inside-out cube'). We have no language or sensorium
for the real thing. Proof is
impossible, because any evidence would, by definition, manifest within our dimensional prison."*