The new paper “The VERSF Dependency Map” is an attempt to lay out the logical architecture of the VERSF programme in a single place. Rather than presenting another derivation or technical result, the goal of the paper is structural: to show how the different pieces of the framework depend on one another and where the true load-bearing results lie. In other words, it asks a simple but important question: if the whole programme is correct, what is the minimal chain of ideas that holds it together?
The paper maps the derivation of quantum mechanics step by step, starting from four admissibility conditions related to fact production — operational distinguishability, reversible distinguishability-preserving dynamics, irreversible commitment, and operational closure. From those starting points the dependency ladder proceeds through the emergence of the reversible sector, the appearance of complex Hilbert space, the necessity of unitary evolution, the Hamiltonian generator, and the Schrödinger equation. In parallel, the irreversible branch of the framework develops the structure of measurement, CPTP maps, and the Born probability rule. The two branches reconnect in the treatment of composite systems, where entanglement and Bell correlations appear as structural consequences rather than additional assumptions.
A major purpose of the paper is to clarify the uniqueness claim often associated with the programme. Instead of stating the claim informally, the paper formulates it precisely using what it calls the admissibility flow. The idea is that imposing the admissibility constraints progressively narrows the space of possible probabilistic theories. Classical simplex theories, real Hilbert-space theories, quaternionic formulations, generalised probabilistic models, and super-quantum correlation structures all fail at specific points in this narrowing process. Within the class of candidate theories considered, complex Hilbert-space quantum mechanics is the only framework that remains stable under the full set of constraints.
Importantly, the paper also highlights where the programme is not yet complete. Some structural assumptions used in the Hilbert-space derivation — most notably convexity and purification — are currently imposed rather than derived directly from the admissibility axioms, although tomographic locality can already be derived from the distinguishability requirement. Establishing whether the remaining structural conditions follow from the admissibility framework itself is therefore an important open problem. Likewise, the extension from the Dirac equation to full quantum field theory, the integration with gravity, and the full connection to the TPB/BCB scale-derivation papers are identified as the next major steps.
In that sense, the paper functions as a kind of architectural blueprint for the VERSF research programme. Instead of focusing on a single result, it shows how the existing papers connect together, which theorems carry the most weight, and where further work will have the greatest impact. For readers trying to understand the overall direction of the framework, it provides a clear map of how the pieces currently fit — and where the unexplored terrain still lies.