NNRT's Relativistic Observational Framework Based on Universal Spacetime and the Galilean Transformation

In Nakaza's New Relativity Theory (NNRT), universal time and universal space constitute the real foundation, while the real motions of all inertial frames are related by Galilean transformations (GT). We first construct a thought experiment involving the emission, reflection, and reception of light by a uniformly moving rod, starting from records of events made with a common universal clock. The asymmetry of the outward and return propagation times, the classical Doppler relations, and bidirectional measurement records lead, through optical symmetrization, to the Lorentz transformation (LT) of observational time and distance. This empirical construction is given a rigorous mathematical formulation using light-emission and reception events and normalization of the coefficients of the vacuum wave operator. Phase invariance, the relativistic Doppler relation, and the invariance of observational light speed are then established within the same framework. Next, an observational coframe is used to construct the electromagnetic, matter-wave, and clock scales affected by gravitational sources and acceleration, leading to the observational-metric field equations, the Schwarzschild solution, phase transport, gravitational redshift, light deflection, Shapiro delay, and GPS corrections. For matter waves, we extract the action phase from the Schrödinger equation in a Newtonian gravitational field and use the phase equation coupled to the gravitational observational metric to derive an effective potential containing the 𝑟−3 correction, from which Mercury's perihelion advance is calculated. Finally, we distinguish the parameter of a phase-characteristic curve from universal time and clarify its relationship to a corrected equation of motion constructed on universal spacetime. In this way, NNRT systematically reproduces relativistic observational formulas and numerical results through a reversed direction of theoretical construction.