Imaginary Peace Field: A Tensor Model of Dialogue Beyond Conflict

This paper introduces the concept of the Imaginary Peace Field as an extension of the Peace Tensor Equation proposed by Nemoto (2024). The study proposes that social and ideological conflicts can be modeled as vector interactions within real space, and that their resolution requires an expansion into the imaginary domain—a complex tensor field in which destructive interference is transformed into harmonic resonance. By introducing an imaginary component???????? to the Peace Tensor P????????, we show that opposition, hatred, and division can be reframed as phase differences, allowing the stabilization of an equilibrium state defined by ∇·P= 0 in the complex plane. Philosophically, this work bridges mathematical formalism with ethics and dialogue theory, suggesting that true peace is not the erasure of difference but its harmonic superposition in a higher-dimensional cognitive manifold.