Correspondence Principles: A Systematic Comparison of the Cosmological Special Theory of Relativity with Special Relativity, General Relativity, and Quantum Mechanics

The Cosmological Special Theory of Relativity (CSTR) re-derives the Lorentz transformation, relativistic quantum mechanics, quantum
field theory, and general relativity within a cosmological inertial frame, in which a local, unexpanded spatial coordinate is related to the
physically expanded coordinate of a Robertson-Walker universe through a cosmological expansion function τ (t0) (Yi, 2020, 2025). Five
companion reviews have each examined a different sector of this program – special-relativistic kinematics, relativistic quantum mechanics and
field quantization, the Cosmological General Theory of Relativity’s black-hole solutions, the group-theoretic structure of the transformation
itself, and the theory’s observational status – and each has found that CSTR’s predictions reduce, in a precise and recurring sense, to
those of the corresponding standard theory. This paper collects that recurring correspondence into a single, systematic set of comparison
tables, juxtaposing every principal CSTR equation against its special-relativistic, quantum-mechanical, quantum-field-theoretic, or generalrelativistic
counterpart, and identifies the single limit – evaluation at a fixed cosmological epoch, equivalently τ (t0) → const – responsible
for every instance of correspondence. We further collect, in a final comparison, the specific respects in which CSTR is not merely a relabeling
of standard theory: the multi-epoch groupoid structure and the associated open questions identified in a companion review. The result is
intended as a single reference synthesizing the correspondence structure of the entire CSTR program.