▲ 12 r/mathematics
If we interpret time as a fourth dimension, what would the equation x² + y² + z² + t² = 9 (say) actually represent?
We can visualize a sphere in 3D, but if t is time, does this equation describe an object that exists only for a finite duration? Or is it simply a static 4-dimensional sphere whose 3D "snapshots" change over time? Does this mean we'd see a sphere that grows and then shrinks over time? Or is that interpretation mathematically misleading?
u/lalith-aditya-2311 — 2 days ago