finiteenergy
Finiteenergy is a concept used to describe systems or states in which the total energy is finite. In physics this typically means that the integral of energy density over all space is finite, ensuring the stability of the system and the mathematical well-posedness of its evolution. The total energy is often written in forms such as E = ∫ T^{00} d^3x or via an equivalent energy functional that depends on the theory being considered.
In classical field theory and general relativity, finite-energy configurations are usually localized or decay sufficiently fast
In mathematics, finite energy often refers to a function whose Dirichlet energy ∫ |∇u|^2 dx is finite,
The concept is typically contrasted with infinite-energy configurations, which are non-physical in many contexts or used