Аннотация

Curved space-time 4-interval of any probe particle does not contradict to flat non-empty 3-space which, in turn, as-sumes the global material overlap of elementary continuous particles or the nonlocal Universe with universal Euclidean geometry. Relativistic particle's time is the chain function of particles speed and this time differs from the proper time of a motionless local observer. Equal passive and active relativistic energy-charges are employed to match the universal free fall and the Principle of Equivalence in non-empty (material) space, where continuous radial densities of elemen-tary energy-charges obey local superpositions and mutual penetrations. The known planetary perihelion precession, the radar echo delay, and the gravitational light bending can be explained quantitatively by the singularity-free metric without departure from Euclidean spatial geometry. The flatspace precession of non-point orbiting gyroscopes is non- Newtonian one due to the Einstein dilation of local time within the Earth's radial energy-charge rather than due to un-physical warping of Euclidean space.

Keywords: Euclidean Material Space; Metric Four-Potentials; Radial Masses; Energy-To-Energy Gravitation; Nonlocal Universe