The Environ–Tenson Equation: Integrating the Environ–Cycle Theory into the Tensor Framework of Energy and Information

This paper presents the Environ–Tenson Equation, an extension of the Tenson Equation that integrates the principles of the Environ–Cycle Theory—a theoret- ical framework describing the ethical, ecological, and social circulation of energy and information. By embedding environmental feedback loops within the original conservation form ∇·(E+ iI) = 0, the system evolves into an open resonant equilibrium represented as ∇·(E+ iIenv) = Φenv. Here, Φenv denotes the environmental feedback potential, and Ienv = I+ βLenv in- corporates the environmental Lagrangian. Three domains—the moral, ecological, and social fields—are formulated as interdependent layers of resonance, describing how ethics, life, and society sustain dynamic equilibrium through information cir- culation. This unified formulation provides a mathematical model for sustainable systems, ethical stability, and socio–informational harmony.