Unified theory of direct interaction between particles, strings, and membranes

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Abstract
A model of generalized relativistic membranes that contains as special cases, particles, geometric strings and geometric membranes and other new one‐ and two‐dimensional objects is studied. The equations of motion for such objects in direct interaction are studied. The constraints on the interaction due to the freedom of gauge of the free model are solved. A scalar, a vectorial, and a tensorial type of interaction are discussed. Conservation theorems associated with Poincaré invariance of the action are studied, as well as the generalization for action‐at‐a‐distance theories of the action and reaction law.