Bibliographic record
Abstract
Github:Research-Archives/宇宙/研究纲领 at master · calibur88/Research-Archivesname:ch.hyemail:jiuxin303@qq.comThis dataset contains the complete structural analysis pipeline and results for the Heteromorphic Manifold Hypothesis (HMH), a rigid phenomenological detection program that probes structural imprints of manifold pulsations through boundary-inversion of observable excitation spectra within the regular domain. ## Analysis Components - **Singularity detection**: High-order derivative mutation-point identification (2nd/3rd order, 3σ threshold) on NANOGrav 15-year pulsar timing residuals- **VMD harmonic decomposition**: Variational Mode Decomposition (K=5, α=2000) with 100% harmonic detection rate across 33/33 valid pulsars- **Cross-pulsar synchronization**: Kernel Density Estimation (bandwidth=10 days) identifying 36 synchronous clusters (max cluster size: 5 pulsars at MJD 57850.3 and 58793.1)- **Celestial anisotropy**: Rayleigh uniformity test (p = 2.19×10⁻⁶) with directional correlation to Virgo Supercluster (RA≈232°, Dec≈+4.65°) ## Key Results - 369 significant mutation points detected (average 9.00 per pulsar)- Base frequency locked at f₀ ≈ 3.18 nHz (from 3628-day cluster span)- Monte Carlo validation: random subset mean = 1.03 mutations/pulsar vs. observed 9.00- Poisson probability for maximum cluster: p ≈ 3.93×10⁻³ ## Data Source NANOGrav 15-year public dataset (narrowband timing data). This analysis is orthogonal to the NANOGrav Collaboration's published model-dependent interpretations (CPL/RPL/PPL). ## Methodological Stance Zero-parameter data-driven analysis. No preset physical model (power-law, SMBHB background, or anisotropy framework). Results emerge directly from structural pattern recognition without Bayesian model selection or frequency-band cutting. ## Theoretical Context HMH posits that the ΛCDM standard model's 12 anomalies form a complete graph K₁₂ whose edge count exceeds the Turán threshold ex(12,K₃)=36, rendering the "independent patch" strategy logically impossible by combinatorial necessity. The Turán verdict is independent of HMH's physical assumptions — it stands even if HMH is falsified. ## Falsification Conditions - Base frequency drifts outside 1.5–4.5 nHz interval- Residues diverge to white noise- Either condition triggered at >5σ confidence → entire program collapses --- **本数据集包含异型流形假说(HMH)的完整结构分析流程与结果。HMH是一个严格的唯象探测纲领,通过对正则区内可观测激发谱的边界反演,探测流形脉动的结构印记。** ## 分析组成部分 - **奇点检测**:对NANOGrav 15年脉冲星计时残差进行高阶导数突变点识别(二阶/三阶,3σ阈值)。- **VMD谐波分解**:变分模态分解(K=5,α=2000),在全部33颗有效脉冲星上实现100%谐波检测率。- **脉冲星间同步**:核密度估计(带宽=10天),识别出36个同步簇(最大簇规模:在MJD 57850.3和58793.1处各含5颗脉冲星)。- **天球各向异性**:瑞利均匀性检验(p = 2.19×10⁻⁶),方向相关性指向室女座超星系团(赤经≈232°,赤纬≈+4.65°)。 ## 关键结果 - 检测到369个显著突变点(平均每颗脉冲星9.00个)。- 基频锁定在f₀ ≈ 3.18 nHz(来自3628天簇跨度)。- 蒙特卡洛验证:随机子集均值=1.03个突变/脉冲星,观测值为9.00个。- 最大簇的泊松概率:p ≈ 3.93×10⁻³。 ## 数据来源 NANOGrav 15年公开数据集(窄带计时数据)。本分析独立于NANOGrav合作组已发表的模型依赖解释(CPL/RPL/PPL)。 ## 方法论立场 零参数数据驱动分析。无预设物理模型(幂律、SMBHB背景或各向异性框架)。结果直接来自结构模式识别,不经过贝叶斯模型选择或频带切割。 ## 理论背景 HMH认为,ΛCDM标准模型的12个异常构成完全图K₁₂,其边数超过图兰阈值ex(12,K₃)=36,从而在组合学必然性上使得“独立补丁”策略在逻辑上不可能成立。图兰判决独立于HMH的物理假设——即使HMH被证伪,该判决依然成立。 ## 证伪条件 - 基频漂移出1.5–4.5 nHz区间;- 留数发散为白噪声;- 任一条件以大于5σ置信度触发,则整个纲领崩溃。
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".