A rigorous derivation requires showing that (Ṙ∕R)2 ∝k(t)∕n + ρfabric(t)∕n holds analytically.
The framework developed in Papers I–V recovers the large-scale structure of spacetime from information conservation. The remaining foundational question is the origin of quantum field dynamics: why does the microcosm behave wave-like, and what selects a particular measurement outcome? This is addressed in Paper VI.
Explain the observed modest positive Hubble constant by applying the framework at the cosmological scale.