Informational Fields

This paper develops an information-based field theory where informational weight and informational pressure emerge as fundamental field quantities. Building upon an ontology where distance is defined as an informational state and dynamics as informational pressure, we demonstrate that informational fields represent a natural extension of this structure. The resulting framework incorporates a Lagrangian density, an Euler-Lagrange equation, an energy-momentum tensor, and coupling terms between distinct informational fields. This establishes an information-based analogy to quantum field theory without requiring an a priori geometric spacetime or classical field quanta.