Rule 34 of 36 · Chapter V — Limits & Uncertainty
At the edges, intuition fails
Why this rule exists
Our intuitions are calibrated on a narrow slice of nature — moderate speeds, sizes, and energies — so they encode assumptions that need not hold elsewhere. Near the speed of light, at atomic scales, or under extreme gravity, the actual laws diverge from the everyday approximations intuition is built from. The failure is not of physics but of the extrapolation.
In practice
At the edges, distrust intuition and follow the equations, checking each result against experiment rather than plausibility. Identify which idealization you are leaving — low speed, large action, weak field — and switch to the regime's proper framework: relativity, quantum mechanics, general relativity. Let the mathematics lead where the imagination cannot follow.
When it doesn't apply
This is guidance, not a law, and intuition trained within a regime is often reliable there. The regimes are not walled off: correspondence principles require the deeper theory to reproduce the familiar one in the appropriate limit.