Preface The present work introduces the Energetic–Elastic N-Body Model (EETBM), a theoretical framework developed to investigate whether key structural features of Newtonian many-body dynamics can be represented within a smooth energetic–elastic Hamiltonian formulation. The motivation for this research originates from the long-standing challenges of the classical three-body problem and its generalization to larger interacting systems. Rather than proposing a new fundamental force law, the framework explores the possibility that stability, resonances, chaotic transport, orbit classification, and computational structures may be studied through an alternative Hamiltonian representation based on energetic deformation. A central objective of this work is to determine how much of the known dynamical organization of Newtonian systems can be recovered, analyzed, or reformulated within a globally regular energetic framework. To that end, the article combines methods from Hamiltonian mechanics, dynamical systems theory, chaos theory, differential Galois theory, KAM theory, Melnikov analysis, symplectic integration, and computational dynamics. Several results are established directly within the proposed framework, while others rely on existing mathematical theories and are applied under their standard assumptions. Where appropriate, the article explicitly distinguishes between proven results, conditional statements, numerical estimates, illustrative calculations, and open problems. This work should therefore be viewed as both a research framework and a mathematical program. Some components are developed and analyzed in detail within the present article, while others remain subjects for future investigation, particularly those related to collision-boundary extensions, long-time orbit correspondence, and the explicit computation of the Lamé exponent appearing in the non-integrability analysis. The purpose of publishing this article is to make the framework publicly available, to document its mathematical structure, and to encourage independent examination, verification, criticism, refinement, and further development by the broader scientific community.