The Rotational Cosmic Matrix

AbstractStandard cosmological frameworks depend heavily on speculative multi-variable hypotheses, such as Dark Energy and Dark Matter, to reconcile the perceived linear expansion of the universe and velocity anomalies at galactic boundaries. This paper presents a scale-invariant, purely geometric matrix model that completely eliminates these empirical adjustments. By treating the observable Universe not as a linearly expanding fragments system, but as a single stable quantum cell performing a continuous circular rotation around its structural axis, we demonstrate that the critical cosmological parameters—including the constant Hubble frequency, the exact stable radius of the horizon, and the universal Milgrom acceleration limit—can be computed through single-step arithmetic operations on a standard pocket calculator. Finally, we demonstrate that the ratio of the universe's primary acceleration boundaries collapses directly into the fundamental geometric constant Pi (3.14), mathematically proving the non-expanding, curved, and rotational nature of the spacetime matrix.