Covariance implies invariance under coordinate transformations, and its application within inertial reference frames enables the resolution of a wide range of relativistic spacetime problems. However, its application to gravitation restricts its use to spherical coordinate systems. Conventional transformation to a Cartesian system leads to issues regarding symmetry and commutativity, resulting in spacetime discontinuity due to the emergence of torsion.Coordinates lack physical significance, and the transformation between Cartesian and spherical representations should be trivial. Resolving the metric tensor in Cartesian coordinates via an imaginary group allows for the resolution of the Levi-Civita connection's torsion and, consequently, leads to a series of reconsiderations regarding spacetime.The structure of spacetime is revealed as a topological construction through Minkowski's hyperbolic foundation -- a formalism that allows for the representation of both the wave-like properties of gravitation and the metric characterization of electrodynamics.The normalized formalism proves productive both in demonstrating its consistency -- through the normalized formulation of the hydrostatic equilibrium of compact bodies, which supports the absence of singularities (as an alternative to the Tolman-Oppenheimer-Volkoff equation) -- and in its treatment of geodesics and rotating bodies (as an alternative to the Kerr metric). Formulation of the self-organization of spacetime via the normalized energy-momentum tensor, as well as cosmological issues regarding inertia, time and its irreversibility, entropic characterization, and large-scale behavior. Normalized metric is a continuous group that allows for the metric derivation of the Dirac equation, Yukawa coupling, and Hubble's law, while also offering insights into various conceptual issues, such as symmetry and vacuum polarization.