The Cosmological Horizon Passport

AbstractStandard cosmological models rely heavily on auxiliary hypotheses, such as Dark Matter and Dark Energy, to reconcile the perceived linear expansion of the universe and galactic boundary velocity anomalies. This paper presents a scale-invariant, purely geometric matrix model that removes these empirical patches by redefining mass as a localized physical deformation of the space-time network. By establishing a global digital "Passport" (P) measured in m3/s2, we demonstrate that critical cosmic constants—including the exact stable radius of the horizon, the total critical mass equivalent, the precise Hubble frequency, and the minimum acceleration floor—can be extracted through single-step calculations on a standard pocket calculator. Furthermore, the 13.8-billion-year timeline is shown to represent not the linear age of the cosmos, but the precise duration of a single rotational cycle of the spacetime clock matrix.