The Theory of Dynamic Interactions is based on the puzzlement caused by rotation and orbit. This is due to the inertial incapacity of matter, under certain circumstances, to vectorially sum together the resulting angular momenta and, in general, the angular magnitudes of bodies in rotation.

The Theory of Dynamic Interactions enables the developing of a specific dynamics for solids in rotation, which are subject to successive force couples, where the sequence of the action of the forces determines their peculiar behaviour, which does not coincide exactly with the laws of classical mechanics, but does fit in with the physical reality. The stating of the laws of behaviour of moving bodes in space and, therefore, the development of the Theory of Dynamic Interactions, initially arose from the conjectures of Miguel A. Catalán and after having experimentally checked the postulates of these dynamic hypotheses and the real inertial behaviour of rotating matter.

The inclusion of this theory into the field of rotational mechanics is not merely achieved on speculative or mathematical grounds, but is also the result of the experiments done, and even by extrapolating the experimental behaviour by means of particular trials and tests.

After conducting these prior experiments it has been possible to confirm that knowledge of the new laws of behaviour for non-inertial dynamic systems will enable their scientific development in numerous areas of physics and will thus lead to new, previously unknown, dynamic technologies.

The study of the behaviour of material systems in the face of the actions of external, spatial rotation generators, and of the associated, conserved magnitudes has been extensively studied, but there is still room for ongoing, scientific and technological development in the light of the new hypotheses being put forward.

The theory supposes that rotational inertia is basically different to translational rotation, thus it distinguishes between both concepts. The Theory of Dynamic Interactions is based on the inertial impossibility of matter in certain circumstances to modify its previous dynamic state as a result of its inertia, thus the idea of rotational inertia is proposed as an invariant of mass. The resulting laws of behaviour are conceived as nature’s heretofore acknowledged refusal to couple selectively and discriminatingly and enable the conception of a rotational dynamics of interactions for specific and distinct, non-inertial systems that includes the inertial reactions of matter in the bodies endowed with angular momentum.

The inclusion of this conceptual exception to Eulerian thought makes it possible to propose a new interpretation of inertial forces and to include these within the mechanical structure. It further suggests new structures of thought for rotational dynamics, other than those accepted to date for translational mechanics.

For example, it can be deduced that the centre of a body’s mass can modify its path owing to the effect of the inertial forces caused by rotations, given that the moment of the system’s centre of mass can be modified by means of a variation to the system’s internal, translational moment, but also by a variation to the system’s internal rotational moment.

This can also be understood as the possible transfer of rotational kinetic energy into translational kinetic energy and vice versa.

Specific dynamics can be conceived for particular excitations or circumstances on the basis of general axioms. For example, a specific, non-coaxial couple force rotational dynamics can be conceived for a rigid, solid body subject to non-coaxial force couples. Gabriel Barceló suggests three basic axioms to develop this dynamics:

1. Whenever a solid is subject to successive, non-coaxial momenta, inertial fields are generated at its centre that are conceived as non-homogeneous distributions of speeds and accelerations.
2. Whenever an intrinsically rotating solid is subject to new, non-coaxial couples, the velocity field that is generated is coupled to the translation velocity field.
3. The action of successive, non-coaxial momenta on a rigid body cannot be determined by aggregation, or calculated by means of the results of the forces and/or couples.

The first axiom expresses the principle in general, assuming the generation of fields, generally anisotropic in nature, for intrinsically rotating bodies, whenever these are subject to new, non-axial couples. The second axiom puts forward a discriminating coupling of velocities’ fields and the third points to the impossibility of using vectorial algebra to explain these phenomena.

Laws on the behaviour of bodies subject to non-coaxial force couple and on the non-Newtonian, rotational dynamics of dynamic interactions can be inferred from these axioms.

Ten laws of rotational dynamics of rigid, solid bodies in rotation are defined on the basis of the aforementioned axioms, whenever such bodies are subject to successive, non-axial force couples, and even for these bodies when they are endowed with intrinsic angular momentum.

In accordance with the proposed laws of the Theory of Dynamic Interactions we can conceive of a universe in constant dynamic equilibrium in which the resulting null force couple will generate a constant orbital movement, in a closed path, as it acts. The significance of this mathematical model is obvious; a model in which forces are not the only leading characters, but also share the limelight with the force momenta which, as long as they remain constant, will generate continuously recurring orbital movements, thus leading a system in dynamic equilibrium and not limitless expansion.