What does Einstein's relativity actually say about motion and rest?

Einstein's relativity abolishes any absolute standard of motion or rest. All frames of reference are considered equally valid, which means the Earth can be treated as stationary and the universe rotating around it without contradiction. In practice, scientists apply this equivalence selectively, permitting any frame to be "at rest" except the Earth. The theory's mathematics fully allows geocentrism; its rejection is philosophical, not physical. (See Galileo Was Wrong, Vol. 2, chs. 8-10; Geocentrism 101, ch. 9.) Special relativity (1905) begins with two postulates: first, that the laws of physics are identical in all inertial frames; second, that the speed of light is constant for all observers. From these, Einstein derived that no observer can detect uniform motion through space. So all motion is relative. There is no empirical test within relativity that can determine which frame "really" moves. General relativity (1915) extended this symmetry to accelerated motion and gravity. Einstein's field equations are form-invariant; they yield identical descriptions whether one treats the Earth as rotating in curved space or the cosmos as rotating around a fixed Earth. The choice is coordinate, not physical. Ernst Mach proposed that local inertial frames derive from the distribution of mass in the universe. Einstein initially accepted this: the stars create the inertial field that defines motion. If the universe rotates around the Earth, its mass distribution generates the same inertial effects as a rotating Earth would. Before relativity, science assumed an absolute frame, the ether or the fixed stars, against which motion could be measured. Relativity removed that anchor, not because it was disproven, but because it was redefined as unnecessary. In doing so, Einstein destroyed the empirical basis for declaring the Earth's motion absolute. Within relativity, any point can serve as the origin of the coordinate system. Placing the Earth at rest simplifies many equations, particularly in celestial mechanics. Astronomers routinely use "Earth-centered inertial" coordinates to compute satellite orbits and planetary ephemerides. The math works because the universe behaves as if the Earth were fixed and the heavens moved. In cosmology, relativity introduces the "comoving" frame, defined by the average rest frame of the cosmic microwave background. Measurements show that this frame aligns closely with the Earth's equatorial and ecliptic planes. The dipole anisotropy can equally be read as the CMB's rotation about the Earth. Relativity forbids a definitive distinction. Under relativity, motion and rest are reciprocal; yet modern cosmology insists that only one description is acceptable, the Copernican one. This inconsistency exposes the philosophical nature of the rejection. The same theory that dissolved absolute rest is now used to assert the Earth's absolute motion. Relativity's coordinate freedom means that all cosmological models are perspectival. If one chooses the Earth as the reference frame, the entire universe can be described as revolving around it every 24 hours without contradiction. That equivalence restores geocentrism to scientific legitimacy. Relativity nullifies the Copernican claim of necessity. If all frames are equivalent, the Earth may be considered at rest without inconsistency. The universe can revolve around the Earth in full compliance with Einstein's equations. The choice is philosophical: will man accept a cosmos that centers on him and points to his Creator, or persist in one that banishes both?