Gravitational Interaction as an Emergent Effect of Directional Tensions in a Continuous Medium

We propose a classical and continuous framework to interpret the gravitational interaction as an emergent effect arising from the directional distribution of energy in space, without introducing new fundamental forces or modifying the established equations of gravitation. The model is based on the notion of effective tension, defined as energy per unit area associated with enclosing surfaces generated by mass distributions. From this definition, an effective potential is constructed whose radial dependence emerges naturally from geometric considerations and energy conservation. The interaction between bodies is described through the directional overlap of these tension surfaces, leading to effective forces with an inverse-square dependence on distance. In the appropriate limit, the formalism recovers Newton’s law and converges to the Poisson equation, establishing a clear correspondence with classical gravitation. The approach does not aim to replace General Relativity, but rather to offer an alternative physical interpretation of the origin of the gravitational force, applicable in classical regimes and as a starting point for future extensions. Observational predictions, limitations of the model, and possible generalizations are discussed. Author’s Note on Version 1.1: This revision updates the original document for publication on Zenodo. Minor syntax and typography corrections have been made to enhance technical clarity. The heading hierarchy has been standardized, and formula tags have been replaced with explicit mathematical characters in titles for better readability. This version establishes the scientific priority of the directional tension model in a continuous medium under the authorship of Carlos Ariel Vargas