可检验物理预言
Testable Physical Predictions
SGT 与广义相对论（GR）可观测差异对照 · 宪法基准 V3.8.0
SGT vs. General Relativity (GR) Observable Differences · Constitution V3.8.0
| 预言 | SGT 值/特征 | GR 值 | 可检验性 |
|---|---|---|---|
| ISCO 半径 | 4.23 M | 6.00 M | ✓ Athena |
| Hawking 温度 | 0.866 × THGR | THGR | ✓ 铁线轮廓 |
| 引力波回声时延 | ~14.3 M | 无 | ⚠ 3G 探测器（SNR ~ 30） |
| 回声频率依赖性 | R(ω) ∝ ωα (α > 0) | 无 | ⚠ SGT 独有指纹 |
| 铁线红翼偏移 | 红翼更红 | — | ✓ Athena |
| 中子星 TOV | 无修正 | — | ✓ NICER |
| 旋转黑洞阴影 | 与 Kerr 差异 < 0.3% | — | 当前精度不可区分 |
| 大爆炸奇点 | H(0) = 1.023×10−1（有限） | ∞ | ⚠ CMB B-mode 极低频 |
| 原初引力波低频抑制 | χ ≈ 0 时 Geff ≈ 0 | 无抑制 | ⚠ 3G 探测器 |
| Prediction | SGT Value/Feature | GR Value | Testability |
|---|---|---|---|
| ISCO radius | 4.23 M | 6.00 M | ✓ Athena |
| Hawking temperature | 0.866 × THGR | THGR | ✓ Iron line profile |
| GW echo delay | ~14.3 M | None | ⚠ 3G detectors (SNR ~ 30) |
| Echo frequency dependence | R(ω) ∝ ωα (α > 0) | None | ⚠ SGT unique fingerprint |
| Iron line red-wing shift | Red wing redder | — | ✓ Athena |
| Neutron star TOV | No correction | — | ✓ NICER |
| Rotating BH shadow | Differs from Kerr by < 0.3% | — | Not distinguishable at current precision |
| Big Bang singularity | H(0) = 1.023×10−1 (finite) | ∞ | ⚠ CMB B-mode ultra-low frequency |
| Primordial GW low-freq suppression | Geff ≈ 0 when χ ≈ 0 | No suppression | ⚠ 3G detectors |
预言要点说明
Prediction Highlights
- ISCO 半径 4.23 M vs 6.00 M：最内稳定圆轨道半径显著小于 GR，可通过 X 射线光谱与 Athena 等任务检验。
- 霍金温度 0.866 × THGR：SGT 预测黑洞辐射温度低于 GR 基准约 13.4%，可通过铁 Kα 线轮廓分析检验。
- 引力波回声时延 ~14.3 M：黑洞合并后存在特征回声时延，为第三代引力波探测器（LISA、Einstein Telescope 等）的潜在检验目标。
- 铁线红翼偏移：SGT 预测铁线光谱红翼更红，为 SGT 独有可观测指纹之一。
- 原初引力波低频抑制：在 χ ≈ 0 区域 Geff ≈ 0，导致原初引力波低频段显著抑制，与 GR 无抑制效应形成对比。
- 大爆炸 H(0) 有限：SGT 给出 H(0) = 1.023×10−1 严格有限值，消除 GR 在 t = 0 的奇点发散。
- 中子星 TOV 无修正：在核物质耦合分析下，SGT 对中子星质量-半径关系无额外修正，与 NICER 数据兼容。
- ISCO radius 4.23 M vs 6.00 M: Innermost stable circular orbit significantly smaller than GR; testable via X-ray spectroscopy and missions such as Athena.
- Hawking temperature 0.866 × THGR: SGT predicts ~13.4% lower black hole radiation temperature; testable via iron Kα line profile analysis.
- GW echo delay ~14.3 M: Characteristic post-merger echo delay; potential target for third-generation GW detectors (LISA, Einstein Telescope, etc.).
- Iron line red-wing shift: SGT predicts redder red wing in iron line spectra — a unique SGT observable fingerprint.
- Primordial GW low-frequency suppression: Geff ≈ 0 in χ ≈ 0 regions causes significant low-frequency suppression, contrasting with GR's no-suppression prediction.
- Finite Big Bang H(0): SGT gives strictly finite H(0) = 1.023×10−1, eliminating GR's t = 0 singularity divergence.
- Neutron star TOV no correction: Under nuclear matter coupling analysis, SGT introduces no extra correction to neutron star mass-radius relations; compatible with NICER data.