No, the current understanding of the universe, including concepts like spacetime geodesics, time dilation, and singularities, is not based on a pure imaginary theory or misleading information. These concepts are fundamental aspects of modern physics, particularly in the theory of general relativity developed by Albert Einstein.
General relativity describes the gravitational force as the curvature of spacetime caused by the presence of mass and energy. Spacetime geodesics are the paths that objects follow in this curved spacetime, and they represent the natural motion of objects influenced by gravity. Time dilation is a consequence of the curvature of spacetime, which causes time to pass at different rates depending on the strength of the gravitational field.
While some aspects of general relativity, such as singularities, are still areas of active research and are not yet fully understood, the theory has been remarkably successful in explaining and predicting a wide range of phenomena, from the motion of planets to the behavior of black holes.
The scientific community continually tests and refines our understanding of the universe through experiments, observations, and the development of new theories. The current understanding of the laws of physics, including general relativity, is the result of rigorous scientific inquiry and is supported by a vast amount of evidence gathered over many decades.