Full Derivation of Three Classical Gravitational Tests Based on the Two-Dimensional Linear Matrix Wave Field Theory

General relativity separately explains three classical gravitational effects—gravitational light deflection, the century-scale perihelion precession of Mercury, and the Shapiro radar time delay—via the four-dimensional curved spacetime framework, yet it lacks a unified underlying microscopic wave picture and fails to achieve self-consistent compatibility with quantum matrix mechanics. This paper strictly follows all given derivation steps without adding or removing any formulas, integrals, numerical calculations, or logical deductions, and conducts unified deductions solely within the two-dimensional linear matrix wave field theory. The theory is mathematically founded on Heisenberg’s noncommutative matrix coordinates and the time-independent two-dimensional Helmholtz equation, and constructs a physical picture based on three core axioms: the objective reality of the universe is a stationary, homogeneous, dissipation-free two-dimensional matrix wave field; photons are free traveling waves, while macroscopic matter and observers are one-dimensional localized standing waves formed by the interference of counterpropagating traveling waves of identical frequency; three-dimensional spacetime and spacetime curvature are merely projective appearances generated by one-dimensional standing-wave observers when measuring the two-dimensional wave field, and gravity intrinsically corresponds to the wave field concentration gradient induced by compression from massive standing-wave assemblies. This paper fully retains all original procedures for dual-mechanism solar light deflection, complete orbital frequency corrections and orbital verification calculations for Mercury, as well as the integral derivation of solar equivalent refractive index and the Shapiro delay. Only standard CODATA and IAU astronomical constants are adopted, with no custom fitting parameters introduced. All theoretical calculations perfectly match astronomical observations and quantitative predictions of general relativity, demonstrating that the two-dimensional linear matrix wave field theory can unify all classical macroscopic gravitational tests within a single wave system and break the theoretical barrier separating macroscopic gravitation and microscopic quantum mechanics.