The Rotational Space-time Matrix

AbstractMainstream cosmological models rely heavily on speculative concepts such as Dark Energy and Dark Matter to explain the apparent linear redshift expansion of the universe and the anomalous velocity curves observed at galactic boundaries. This paper introduces an alternative, purely geometric, scale-invariant matrix framework that completely eliminates these auxiliary hypotheses. By treating the observable universe as a single, stable macro-quantum cell performing a continuous circular rotation around its central axis, we demonstrate that the fundamental boundaries of modern astrophysics are directly calculable. Using a standard pocket calculator, we show that the legendary Milgrom acceleration limit and the Hubble frequency converge identically at the value of 70.87. Finally, we establish that the cross-ratio of the universe's primary acceleration boundaries collapses directly into the fundamental geometric constant Pi (3.14), mathematically confirming that mainstream science has misread the circular tachometer rate of a spinning universe as a linear expansion vector.