A smooth, continuous mathematical transformation between shapes or surfaces that preserves their essential properties and can be smoothly reversed.
From Greek 'dia' (through) + 'morphe' (form) + '-ism' (doctrine or practice). Coined in 20th-century differential geometry and topology to describe smooth invertible transformations between manifolds.
Einstein used diffeomorphisms in general relativity to show that spacetime can be smoothly deformed in different ways—it's the mathematical language of how gravity bends space itself! This abstract concept helps physicists understand the universe's deepest structure.
Complete word intelligence in one call. Free tier — 50 lookups/day.