I tiakina i:
| Kaituhi matua: | |
|---|---|
| Hōputu: | Recurso digital |
| Reo: | |
| I whakaputaina: |
Zenodo
2026
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| Urunga tuihono: | https://doi.org/10.5281/zenodo.20102113 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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Rārangi ihirangi:
- <p class="MsoNormal"><span>本文在九维内禀几何统一框架下,从铁律截面的内禀常数严格构造三个基本物理量纲(质量、长度、时间)的几何对应。工作包括:<span>(</span>一<span>)</span>证明量纲桥需要最小定标输入<span>——</span>质量量子<span> K=839.74 keV</span>(电子质量定标),长度映射因子<span> χ_L </span>已由<span> 0.3.3</span>(<span>260509.2</span>)单锚点定理纯几何导出,时间映射因子<span> χ_T </span>由光速协调锁定,不再作为独立输入;<span>(</span>二<span>)</span>长度量纲的几何原型<span> ℓ_geo=1/(sin θ_M⁰ √λ_1)</span>,时间量纲的几何原型<span> τ_geo=(1/√λ_1)/|∂S/∂η|_0</span>,两者均由铁律截面的<span> Hessian </span>结构内生决定;<span>(</span>三<span>)</span>修正几何速度<span> v_geo=|∂S/∂η|_0/sin θ_M⁰=71.55</span>,导出<span> χ_T=χ_L·v_geo/c=3.615×10⁻¹⁷ s</span>,进而给出<span> ℏ=χ_T·τ_geo·K·Φ</span>,其中<span> Φ=2.434×10⁷ </span>为全息编码更新速率修正因子,已由<span> 0.3.3 </span>从编码面密度恒定定理严格封闭;<span>(</span>四<span>)</span>光速<span> c=(χ_L/χ_T)·v_geo=2.998×10⁸ m/s</span>,由量纲桥内部自洽严格导出;<span>(</span>五<span>)</span>精细结构常数<span> α=1/S_e</span>,不依赖<span> ℏ</span>、<span>e</span>、<span>c </span>的任何组合;<span>(</span>六<span>)</span>从反向递推第<span> 7 </span>个有效层级的最小步长<span> ΔS=4×10⁻⁹ </span>导出普朗克长度候选<span> ℓ_P^geo=5.03×10⁻²² m</span>。全文不使用量纲分析的外部假设,不使用自然单位制的人为约定。</span></p>