SAE Black Hole Series, Paper 3 Exclusion of Uniform Strict Potentials and Stratified Monotonicity in Discrete Black-Hole Interiors: Refuting the Same-Shell Bridge, Nested Observation Kernels, and the Release-Order Fork / SAE 黑洞系列 Paper 3 离散黑洞内区的势定界与分层单调:同壳桥之否决、观测核之嵌套,与释放序之分岔
Year: 2026
Type: preprint
Abstract: Full bilingual text and framework available at self-as-an-end.net Paper 3 of the SAE Black Hole Series closes the predecessor's two openings in the negative and delivers their replacement. Kill 10: a disjoint oriented plaquette counter-model shows that continuum spherically symmetric zero circulation (weak reading) does not entail discrete same-shell acyclicity; the counter-model's second moment converges weakly to the strictly SO(3)-invariant form ½P_tang, so the symmetry reading fails at second order too, while its non-vanishing keeps total geometric blindness out of the claim. Kill 11: on any state space covering the cyclic era and forward-defined on it, no bounded-below potential with a uniform strict per-transition decrement exists; the predecessor's boxed question receives the empty set as its final answer, and Φ_r survives as a stratified potential, strict on transients and flat on the recurrent class. The replacement is stratified monotonicity: vacancy monotonicity, uniqueness of the smooth sector as the closed recurrent class, and saturated-core closure, demoting occupancy and label-radial freezing from rule inputs to conditional theorems. Blind zones are shown to be zero fibres of observation maps, with the kernels of net edge flow, occupancy, and radial cut flux universally nested and strictly nested in the paper's full exchange repertoire; first-order silence is threefold degenerate across dead, shell-cycling, and radially mixing cores (Kill 12, in the specified coarse limit). The tracer release order under an erosion protocol separates mixing from non-mixing: identically zero on the shell-cycling rung (a theorem), and an exchangeable-limit expectation plateau 0.3157 on the mixing rung, matched by multi-seed measurement within 0.02 standard errors. Occupancy multiplicity is area-level on scaling families with C_skin ≍ A and filling fraction converging in (0,1). All numerical claims are backed by a packaged, seed-registered, hash-anchored script suite (Python, NumPy only), independently recomputed during review.SAE 黑洞系列第三篇,负向闭合前作两开口并交付其替代。Kill 10:不交定向环族反模型证明连续球对称零环量(弱读法)不蕴含离散同壳无圈;反模型之二阶矩弱收敛于严格 SO(3) 不变之 ½P_tang,对称性读法升至二阶亦不救桥,而其不消使几何全盲不入所主张。Kill 11:于任何覆盖循环纪且前向定义之态空间,有下界之统一严格下降势不存在;前作框问终答为空集,而 Φ_r 以分层势存续:瞬态严格降,常返类持平。替代为分层单调:空位单调、光滑扇区为唯一封闭常返类、饱和核封闭,占据冻结与标签径向冻结由规则输入降为条件定理。盲区为观测映射之零纤维:净边流、占据、径向通量之核包含普遍,于完整交换转移库内严格嵌套;一阶寂静于死核、逐壳循环核、径向混合核三重简并(Kill 12,限指定粗粒极限)。剥蚀协议下示踪释放序分混合与不混合:逐壳循环格恒零为定理,混合格有可交换极限期望平台 0.3157,多种子实测相符于 0.02 个标准误内。占据多重度于 C_skin≍A 且充填分数收敛于 (0,1) 之标度族为面积级。全部数值主张由随稿打包、种子在册、哈希锚定之脚本套件支撑(Python,唯依 NumPy),审读中经独立复算。
Author: Qin, Han
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170259901