complexification

Complexification is a mathematical process that extends real numbers to include complex numbers, which incorporate an imaginary unit (√-1). This extension allows for broader analysis and solutions to equations that are impossible to solve within the realm of real numbers alone. In essence, complexification adds a new dimension to mathematical systems, enabling more comprehensive modeling and understanding of phenomena in physics, engineering, and other sciences where complex numbers provide valuable insights. It transforms a real-valued problem into a complex-valued one, opening up richer mathematical structures and solution techniques.