In physics, scale invariance is the feature of physical objects of laws that do not change if the space is magnified, i.e. the coordinates (or energies) are multiplied by a common factor.
In mathematics, scale invariance leads to results such as Benford's law, fractals and logarithmic spirals.
In cosmology, scale invariance is usually used to describe the near-scale-invariant energy spectrum of the cosmic microwave background - a pattern that is well explained by the theory of inflation.
See also