The preceding paper in this series showed that the vacuum folding density σf is a reaction product of geometric capacity Cgeo and vacuum fluctuation density Fᵥac. We now identify a deeper correspondence: Cgeo is a mass-type quantity (the structural inertia of spacetime's information-carrying capacity, rooted in the Bekenstein bound S ≤ 2πRMc/ℏ), and Fᵥac is an energy-type quantity (the irreducible activation budget of quantum fluctuations). In Planck units the reactive equation σf = Cgeo · Fᵥac reduces to σ = E · m, making it the information-theoretic generalisation of Einstein's E = mc². The bridge is circular: mass–energy equivalence supplies the two reactants whose product generates the information density from which gravity — and therefore mass–energy equivalence itself — emerges. Dimensionality D is the unique value at which this circular reaction is self-consistent, singling out D = 3+1 without free parameters. The complete VFD programme now reads E · m → σf → G, Λ, T, D → E = mc², closing the last conceptual gap between quantum information, emergent spacetime, and special relativity.
Daniel Leonforte (Thu,) studied this question.