Complete Characterization of Nucleons within the SRE Framework: Unified Representation of Two-State Skeleton Inversion, Quark Speculation and Nuclear Reaction Validation

This paper gives a unified, complete characterization of nucleons in the State-Relational Entropy (SRE) dynamical framework. A nucleon is the stable composite object emerging on the tripartite Y-shaped coherent core of a binary self-organizing network, under the two-state opening/closing of dormant edges and closure-degree rebalancing; its ontological structure is Y₃⋉△₃ (V=12, E=18, β₁=7, |Aut|=36). Along a reproducible chain — local input → topological solution → inversion — the paper derives the structural constraints T1–T3 from neutron β-decay, resolves the inversion system by three-step screening (integer vertex count, spectral ratio, triple symmetry) together with a "transition–residue" tie-break in which ρ is proved a strict invariant of the transition, verifies the opening/closing mechanism of fission chain reactions, and extends to many-body systems through the shared-ring structural law (V=9k+3, E=15k+3, T=2k+1, β₁=6k+1, |Aut|=6·2^k·k!) together with the body-count independence of the lowest excitation, λ₂ = 2−√3. Negative results are stated with explicit scope: an additive-profile pricing class is falsified as a whole by an identity, the antisymmetric coefficient λ can neither be derived nor fixed, and the L4 mass-depth assignment is refuted by three mutually independent locks (reach bound, no shared lock, hidden degrees of freedom). The net conclusion is an observational-perspective shift that separates a dimension-free SRE world from the three-dimensional world: a three-layer decomposition L0 (topology, integer invariants only) → L1 (dimensionless ratios, the native SRE level) → L2 (geometry, pure map output), each crossing paid for by one external input (a metric D, then a map). Two distribution-independent theorems follow — angle ∉ functions(graph), and same ratio / different map ⇒ different angle — under which every SRE success so far is a dimensionless ratio, while every failure occurs where a dimensioned value is demanded. A verification-adequacy audit classifies all 17 checks and finds that the "geometry / shape" branch degenerates to constructive self-consistency (0 qualified), whereas the spectral / numerical branch is meaningful precisely because it uses independent experimental values. This work does not claim that the SRE axioms are objectively true; all conclusions are self-consistent constructions within the model and require independent external verification. 本文在状态‑关系熵(SRE)动力学框架下,对核子给出统一的完整刻画:核子是二元自组织网络三股 Y 形相干核上,经受休眠边开合二态与闭合度再平衡规则约束后涌现的稳定复合对象,其本体结构为三股 Y 的三角闭合体 Y₃⋉△₃(V=12、E=18、β₁=7、|Aut|=36)。全文沿一条可复现的逻辑链(局部带入 → 拓扑求解 → 反推)展开:由中子 β 衰变导出骨架结构约束 T1–T3,经三步筛选(整数性定顶点数、谱比定拓扑、三重对称定解)求解反演系统,并在"过渡-残留"框架下打破并列(ρ 被证明为过渡的严格不变量);验证裂变链式反应的开闭二态机制;再以共享环构形的结构线性律(V=9k+3、E=15k+3、T=2k+1、β₁=6k+1、|Aut|=6·2^k·k!)与最低激发的体数无关性(λ₂=2−√3)完成多体推广。负结果均标明作用域:加性剖面定价类被一条恒等式整类证伪;反对称系数 λ 不可导出、亦不可固定;L4 质量-深度赋值被三条相互独立的锁(reach 上界、无共用锁、隐藏自由度)判负。全文净结论是一次观察视角的扭转,区分了无维度的 SRE 世界与三维世界之间的界限:三层分解 L0 拓扑层(只给整数不变量,无比值亦无角)→ L1 比值层(无量纲比值,SRE 相容的本征表示)→ L2 几何层(角与坐标,纯属映射输出),每次跨层各付一次外部输入(先付度量 D,再付映射)。由此得到两条分布无关的定理——角 ∉ functions(graph)、同比值不同映射 ⇒ 不同角——在其下,SRE 迄今通过者皆为无量纲比值,而每一个判负都发生在要求量纲化之值时。一次验证合格性审计把全部 17 条验证分类,发现"几何/形状"这一支退化为构造性自洽(0 条合格),而谱层/数值一支恰因使用独立实验值才使那串判负有意义。本工作不证明 SRE 公理客观成立;全部结论均为 SRE 模型内部的自洽性构造,现实物理与化学推论须经外部手段独立核验。