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arXiv 2103.16583hep-thastro-ph.COgr-qc
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沼泽地猜想

The Swampland Conjecture Bound Conjecture

William H. Kinney

摘要:

我猜想一个上限的数量可能的沼泽地pastures通过比较熵所需的pastures本身的贝肯斯坦-霍金熵的宇宙视界。假设每个猜想的熵为100阶,这就为猜想的数量设置了一个$10^{117}$阶的上限。我通过INSPIRE上列出的标题或摘要中含有“沼泽地”一词的论文数量来估计沼泽地景观的生产率,自2014年以来,这一数字一直呈指数级增长。在目前的增长速度下,沼泽地数量的熵约束可以在$10^{-8} H_0^{-1}$量级的时间尺度上达到饱和。我比较的上限从沼泽地猜想束缚猜想(SCBC)的估计数量的真空弦景观。利用AdS/CFT提出的全息态的量子复杂性和Wheeler-Dewitt时空补丁的体积之间的对偶性,我将一个保守的$\mathcal{N}_H > 10^{263}$阶下界放在多元宇宙中哈勃体积的数量上,它必须被驱动到热寂,以通过几何方法充分探索弦景观。

英文摘要:

I conjecture an upper bound on the number of possible swampland conjectures by comparing the entropy required by the conjectures themselves to the Beckenstein-Hawking entropy of the cosmological horizon. Assuming of order 100 kilobits of entropy per conjecture, this places an upper bound of order $10^{117}$ on the number of conjectures. I estimate the rate of production of swampland conjectures by the number of papers listed on INSPIRE with the word "swampland" in the title or abstract, which has been showing approximately exponential growth since 2014. At the current rate of growth, the entropy bound on the number of swampland conjectures can be projected to be saturated on a timescale of order $10^{-8} H_0^{-1}$. I compare the upper bound from the Swampland Conjecture Bound Conjecture (SCBC) to the estimated number of vacua in the string landscape. Employing the duality suggested by AdS/CFT between the quantum complexity of a holographic state and the volume of a Wheeler-Dewitt spacetime patch, I place a conservative lower bound of order $\mathcal{N}_H > 10^{263}$ on the number of Hubble volumes in the multiverse which must be driven to heat death to fully explore the string landscape via conjectural methods.

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