Papers I–IV [meskanen2001, meskanen2002, meskanen2003, meskanen2026iv] established that the universe can be modelled as a finite, static bitstring of n bits; that gravitational collapse converges to a zero-entropy singularity; that expansion from that singularity is the geometric reading of entropy increase; and that the aspect ratio of spacetime is determined by n alone. The present paper takes these results further by deriving a relational scale factor from strict information conservation. Because the bit budget is fixed, every micro-structure must emerge from the same bitstring, reducing the resolution of observable space as perceived by internal observers similar how rope length is affected by knots in it. This single counting principle reproduces, without free parameters, the two boundary solutions of General Relativity — De Sitter vacuum and the Schwarzschild singularity — as the natural extremes of one equation.
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