A complete candidate calculation of W_prim, G_red, D35 weights, scalar response, Yukawa support, chiral embeddings, charged tensors and branch free energies.
This paper asks a straightforward but important question: what happens when the strongest available VERSF Standard Model candidate is actually run as one complete calculation at progressively finer levels of resolution? To test this, the calculation is repeated across four nested regulators—levels 3, 4, 5 and 6—using the same frozen source structure each time. It evaluates the underlying history metric Wprim, the reduced physical response Gred, gauge-sector weights, the scalar response, Yukawa support, particle embeddings, charged-fermion structures and the possible branch free energies. The complete candidate is also independently reconstructed from its exported numerical data and file hashes.
The numerical result is exceptionally strong. The relevant nonterminal matrices remain positive, the reduced 87-dimensional response is stable, and the charged-particle hierarchies and CKM mixing frame settle toward definite limiting values. As the regulator is refined, the changes shrink by almost exactly a factor of four, which is the expected signature of second-order convergence. In plain terms, the calculation is not wandering around or being held together by numerical coincidence: it approaches a genuine, stable mathematical limit within the construction being tested.
However, a stable calculation is not automatically the same thing as a physical derivation. The calculation does not select one unique oriented physical branch. It either prefers the trivial k=0 sector or, when that sector is excluded, leaves the two nonzero orientations k=1 and k=6 exactly tied. This is a true symmetry, not a tiny rounding error, so adding more precision will not break the tie. The Yukawa projector PY is also effectively the identity: it confirms that the required particle directions are present, but it does not select which readout is physically realised. Most importantly, an independent test of whether the candidate structures descend from the same underlying master action fails by a large and regulator-stable amount.
This is why the paper’s “no-go” result is constructive rather than merely negative. It shows that numerical instability is no longer the main obstacle to the VERSF Standard Model derivation. The calculation can be assembled, executed, reproduced and taken toward a regulator limit. What remains is now clearly structural: the programme must derive the full carrier and all cross-couplings from one primitive history law, obtain a nontrivial Yukawa selector, break the conjugate branch symmetry without using experimental data, make the independent action routes agree, and calculate the missing completion residue needed to establish the absolute physical scale.
In terms of the wider Standard Model programme, this paper advances the derivation by replacing a broad uncertainty—“can the whole calculation work?”—with a much sharper conclusion: yes, the candidate calculation works and converges, but the present source structure does not yet uniquely make it physical. That distinction is crucial. The paper does not claim that the Standard Model has been derived, and it correctly refuses the final physical certificate. Instead, it identifies a short, explicit list of mathematical objects that must be returned before the candidate can be promoted from a stable construction to an admitted physical boundary.