Informational Scalar Field and the Hierarchy Problem: A Dynamical Relaxation Mechanism in Effective Field Theory

This work proposes an effective field theory framework in which a scalar field associated with informational order dynamically contributes to the stabilization of the electroweak scale. The model introduces a minimal scalar sector coupled to the Higgs field through a quadratic interaction term, generating a feedback mechanism that relaxes large ultraviolet contributions to the Higgs mass parameter. We derive the field equations, analyze vacuum structure and stability conditions, and demonstrate how the coupled dynamics can naturally suppress radiative sensitivity to high-energy scales. The mechanism operates without requiring supersymmetry, compositeness, or anthropic selection, and remains consistent within a standard low-energy effective field theory approach. Possible phenomenological implications include modifications to scalar-sector dynamics, suppressed radiative corrections, and potential signatures at precision measurements. This work provides a theoretical foundation for further investigations of informational-order-inspired scalar sectors in particle physics.