Gravity is the foundation of the current physical paradigm. Due to that gravity is strongly linked to the curvature of space-time, we research that it lacks of a valid physical concept of space-time, nevertheless that from the science philosophy, via substantivalism, it has tried respond. We found that is due to that the gnoseological process applied from the general relativity, necessarily us leads to metaphysic because ontologically space-time is a metaphysical entity. Thus, we arrive to the super substantivalism that from metaphysics gives an answer on space-time rigorously exact with the vision of Einstein on physics. The result is that matter is nothing since all is space-time, i.e. geometry, therefore is a imperative of the physical science break the current paradigm. .

Through a mental experiment, the mechanics' theory, about of the relative motion, is reexamined because the vacuum, frame of the movement, has a physical reality, which allows test the absolute motion, by the Doppler Effect induced by means of a decelerator of photons, affecting an electromagnetic wave in the direction of the motion of an inertial system. This Doppler does not exist in the nature because the source of the electromagnetic wave is in rest respect to system. But, in each cycle, due to which the wave propagates inside the decelerator, the speed of the system combined with the speed of the wave, respect to vacuum, provokes the induced Doppler. The result is that an observer, inside an inertial system, fully insulated from the outside, may determine whether his system is in rest or in motion and measure its speed, in absolute terms.

While the philosophers of science discuss the General Relativity, the mathematical physicists do not question it. Therefore, there is a conflict. From the theoretical point view “the question of precisely what Einstein discovered remains unanswered, for we have no consensus over the exact nature of the theory's foundations. Is this the theory that extends the relativity of motion from inertial motion to accelerated motion, as Einstein contended? Or is it just a theory that treats gravitation geometrically in the spacetime setting?”. “The voices of dissent proclaim that Einstein was mistaken over the fundamental ideas of his own theory and that their basic principles are simply incompatible with this theory. Many newer texts make no mention of the principles Einstein listed as fundamental to his theory; they appear as neither axiom nor theorem. At best, they are recalled as ideas of purely historical importance in the theory's formation. The very name General Relativity is now routinely condemned as a misnomer and its use often zealously avoided in favour of, say, Einstein's theory of gravitation What has complicated an easy resolution of the debate are the alterations of Einstein's own position on the foundations of his theory”, (Norton, 1993) [1]. Of other hand from the mathematical point view the “General Relativity had been formulated as a messy set of partial differential equations in a single coordinate system. People were so pleased when they found a solution that they didn't care that it probably had no physical significance” (Hawking and Penrose, 1996) [2]. So, during a time, the declaration of quantum theorists: “I take the positivist viewpoint that a physical theory is just a mathematical model and that it is meaningless to ask whether it corresponds to reality. All that one can ask is that its predictions should be in agreement with observation.”  (Hawking and Penrose, 1996) [2] seemed to solve the problem, but recently achieved with the help of the tightly and collectively synchronized clocks in orbit frontally contradicts fundamental assumptions of the theory of Relativity. These observations are in disagree from predictions of the theory of Relativity. (Hatch, 2004a, 2004b, 2007)  [3,4,5]. The mathematical model was developed first by Grossmann who presented it, in 1913, as the mathematical part of the Entwurf theory, still referred to a curved Minkowski spacetime. Einstein completed the mathematical model, in 1915, formulated for Riemann´s spacetimes. In this paper, we present as of General Relativity currently remains only the mathematical model, darkened with the results of Hatch and, course, we conclude that a Einstein´s gravity theory does not exist.

Gravity is the curvature of spacetime, the structural property of static gravitational field, a geometric field, in curved coordinates, according the functions guv, that express geometric relations. Course, general relativity is a relational theory, however, gravity, a thinking category, has symetric physical effects with matter. Throught of relativist aether was attempted transform spacetime in a substantia without succes, the consequence was return to problematic geometric field. The philosophy of the science intervenes, and according the substantialist theory spacetime is a inmaterial, geometric substantia. Then, the metaphysics arrives to a full solution in the super-substantivalist theory, that affirms: matter arises from geometric spacetime. Thus, it explains consistently the symetric physical effects between spacetime and matter. Surely, this solution is a medieval speculation. Our goal is driver the debate on gravity, to the arena of the quantum physics, but without the ballast of the general relativity.  Â

When a theory, as the general relativity, linked to special relativity, is foundation of a scientific paradigm, through normal science and academy, scientifics, professionals, professors, students and journals of that scientific community, the paradigm, it self-sustains and reproduces. Thus, the research is obligated and limited to apply the model existent of the paradigm to formulate problems and solve them, without searching new discoveries. This self-protection of the paradigm causes it to end its cycle of life, only after a long time, until that arise unresolved anomalies, some presents since origin, that they finally cause its change by other new paradigm. In this work, we study the most important anomalies that are part of the foundations of general relativity with the goal of promoting the call period of transition that is previous to scientific revolution. We use critical analysis method for rereading the general relativity, from the perspective of the history of science and philosophy of science. We find, the structural and complex anomaly of general relativity based on metaphysical spacetime that produces the metaphysics replaces physics. Also, two internal anomalies their direct consequences. These are: matter curves metaphysical spacetime, and metaphysical spacetime determines the geodesic motion of physical matter. We conclude that general relativity has no valid physical concept of spacetime, therefore of gravity. For these reasons, a new paradigm is needed.