A conceptually rigorous validation of the discovery of force as a fundamental quantum observable

Raheem Adom

In a recent study (Adom R., Int. J. Quantum Found., 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.

Billie Jack Dalton

Raheem Adom

Abstract In a recent study ( Adom R. , Int. J. Quantum Found. , 12 (2025) 379), I developed a mathematical formulation of force as an essential quantum observable, connecting its quantum wave equation to the violation of translational symmetries that govern the behavior of open quantum systems in a particularly coherent manner. In this letter, I demonstrate that, following the same methodological principles that underpin the well-established quantum wave equations, the proposed force wave equation constitutes a theoretically sound framework that emerges naturally when energy-momentum exchange, instigated by force, is viewed as the fundamental organizing principle for non-relativistic quantum dynamics. This validates the conceptual and mathematical foundations of the framework.

Anton Zeilinger

Anton Zeilinger

Wei Fu

This work presents a novel theoretical framework addressing a fundamental problem in atomic and quantum physics. We propose a new physical mechanism to resolve long-standing inconsistencies in the description of electron behavior within atoms, establishing a consistent physical picture that bridges classical electromagnetic principles and quantum mechanical observations. This work lays a foundational conceptual basis for further rigorous mathematical formalization, detailed theoretical derivation, and experimental validation, with the aim of formal publication in leading peer-reviewed physics journals.