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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.16919269 |
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- <p>在 PAC 框架内,量子引力被铸造为一种光谱理论,由正自伴随算子 <span><span>KK</span><span><span><span>K</span></span></span></span> 控制,该算子通过 <span><span>Ω:=K1/2\Omega:=K^{1/2}</span><span><span><span>Ω</span><span>:=</span></span><span><span><span>K</span><span><span><span><span><span><span>1/2</span></span></span></span></span></span></span></span></span></span> 和 <span><span>H=ħΩH=\hbar\Omega</span><span><span><span>H</span><span>=</span></span> <span><span>控制动力学ħΩ</span></span></span></span>。我们认为,当局部光谱带宽达到临界阈值时,黑洞提供了理想的实验室来探测从几何时空到非几何、纯量子“光谱相位”的平滑交叉。在此描述中,体重力是作为压缩泛函的平稳条件产生的,而黑洞是边界极值(“<span><span>μ\mu</span><span><span><span>μ</span></span></span></span>-束激活层”)。这统一了经典几何和量子信息,而不会引入非酉动力学。我们制定了:(i)最小压缩泛函,(ii)编码尺度相关几何形状的有效光谱维度<span><span>ds(l)d_s(\ell)</span><span><span><span><span>d</span><span><span><span><span><span><span>s</span></span></span></span></span></span></span><span>(</span><span>l</span><span>),</span></span></span></span>以及(iii)保留信息并重现具有百分比级校正的页面曲线样演变的等距边界映射。该框架在百分比尺度上对准正态振铃、地平线尺度成像(阴影和明环结构)以及无量纲阈值 <span><span>μ(Λ)\mu(\Lambda)</span><span><span><span>μ</span><span>(</span><span>Λ</span><span>)</span></span></span></span> 的跨域运行产生可证伪的预测。一对无量纲锚点 <span><span>(C∗,μ∗)(C_*,\mu_*)(</span><span><span><span>C,μ</span><span><span><span><span><span><span><span>∗</span></span></span></span></span></span></span><span><span><span><span><span><span><span>∗</span></span></span></span></span></span></span>)</span></span></span> 校准所有扇区;概述了引力波振铃和多频 EHT 成像的观察策略。这建立了一条清晰的、可测试的路线来调和黑洞热力学与量子酉演化。</p> <p><strong>关键词:</strong>量子引力;黑洞信息悖论;光谱算子;有效光谱维度;准正态模式;事件视界望远镜。<br><em>悖论/页面曲线/EHT 上的背景指针出现在 [1-6] 中。</em> </p>