Neutrino Sector No–Go under Dirac Zν=0 at a Single Anchor: Acceptance Failure and Paths to Resolution
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
Applying the single‑anchor acceptance test from the charged sectors to neutral Dirac neutrinos with \(Z_\nu=0\), a common transport, and rung triplet \((0,11,19)\) yields a no–go: both normal and inverted orderings fail the (ratio + single yardstick) condition. The paper isolates minimal modifications—relax \(Z_\nu=0\), refine the rung constructor, or alter neutral transport—to restore compatibility while keeping the charged‑sector spine intact.
Abstract
We report a no–go result for closing the light neutrino sector within the Recognition Science mass framework under the current axioms: Dirac neutrinos with vanishing word–charge at the universal anchor (\(Z_\nu=0\)), a single common transport, and the formal rung triplet \((0,11,19)\). Using the same acceptance test that organizes charged sectors (ratio constraint and existence of a single yardstick consistent with both oscillation splittings), we find that both normal and inverted orderings fail. Therefore, under these assumptions, a parameter‑free closure of the light neutrino sector does not obtain at the anchor. We document the acceptance failure and outline minimal paths forward.
Key Points
- No–go at a single anchor for Dirac neutrinos with \(Z_\nu=0\) and a single transport.
- Acceptance test: discrete ratio condition + existence of one neutrino yardstick \(\Ynu\) passing both splittings.
- Minimal fixes: neutral residue at anchor, rung‑triplet refinement, or nontrivial neutral transport.
- Charged‑sector structure and anchors from Papers 1–3 remain intact.