PLI Candidate Ratio of Neutrino Sterile State Angles

Abstract

本文从 PLI 核心骨架的 H47 结构出发,给出一个候选比值:若中微子惰性态来自最弱方向(法向)的分裂,且一个分裂态保持单关系、另一个多一个关系,则两个惰性态的角度比值为 2。 这个比值不依赖 PLI 几何链的 u₀,不依赖内切圆。它只依赖 H47 的关系计数(一条边一个关系,一个节点连接两条边两个关系),加上一个分裂图像(纯法向对法向加切向)。 与 3+2 惰性中微子模型对照,若质量比等于角度比,则两个惰性态的质量为 m₄ = 0.55 eV、m₅ = 1.1 eV。 本文是候选比值,不是已确立的理论。核心假设包括:θ₁₃ 最小对应锁定最弱、分裂使用角度相加而非概率相加、三节点等价延伸到分裂后。这些假设均未从 A1 严格推出。 可检验方向:DUNE、JUNO 检验角度比值是否为 2。Project 8、KATRIN 检验质量比值是否为 2。 This note derives a candidate ratio from the H47 structure of the PLI core skeleton: if neutrino sterile states arise from a split of the weakest direction (the normal direction), and if one split state retains a single relation while the other gains one extra relation, then the ratio of the two sterile angles is 2. This ratio does not depend on u₀ of the PLI geometric chain, nor on the incircle. It depends only on the relation count of H47 (one edge, one relation; a node connecting two edges, two relations), plus a split image (pure normal versus normal-plus-tangential). Compared with the 3+2 sterile neutrino model, if the mass ratio equals the angle ratio, the two sterile masses are m₄ = 0.55 eV and m₅ = 1.1 eV. This note presents a candidate ratio, not an established theory. Key assumptions include: θ₁₃ being smallest corresponds to weakest locking; the split uses angle addition, not probability addition; three-node equivalence extends past the split. None of these assumptions are strictly derived from A1. Testable directions: DUNE and JUNO test whether the angle ratio is 2. Project 8 and KATRIN test whether the mass ratio is 2.