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inverse square law

(a value's dependency upon reciprocal of the square of the distance from something)

An inverse square law is a scientific law (i.e., well-established model) asserting that some value depends upon the distance from something, more specifically on the reciprocal of the square of that distance (1/d²). If that something is a point or spherically symmetric body, then given any distance (i.e., the radius of a sphere centered on the point), the sum (integral) of the value across all points at any such distance is the same. An inverse square law generally implies three-dimensional Euclidean space, and serves as an approximation if the space is close to that, such as are current models of the universe.

Some common inverse-square examples:

Phenomena that are not inverse square:

Further reading:

Referenced by pages:
Coulomb's law
electric field (E)
giant star
gravitational field
gravitational wave (GW)
Legendre polynomials
N-body simulation
Poisson's equation
Schrödinger-Poisson equation
strong force