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潜像形成和IGM加热的CSL参数的上下界

Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating

Stephen L. Adler

摘要:

我们研究了随机状态向量约简参数的下限和上限,重点关注质量比例连续自发局域化(CSL)模型。我们表明,假设的状态矢量减少whan潜像形成,在摄影或蚀刻轨道检测,需要CSL速率参数$λ$,这是大于常规假设的一个因素,大致$2 \times 10^{9\pm 2}$,相关长度$r_C$的$10^{-5}{\rm cm}$。我们重新分析了现有的上限的减少率,并得出结论,所有的兼容性与这种增加$λ$。我们得到的最佳界限来自于考虑星系际介质(IGM)的加热,这表明$λ$最多可以是标准CSL值的$\sim 10^{8\pm 1}$倍,同样是$r_C=10^{-5} {\rm cm}$。(For无论是下限还是上限,引用的误差都不是纯粹的统计误差,而是反映建模不确定性的估计。我们在分析中讨论了与较大的$r_C$值相对应的修改。随着速率参数的大幅扩大,CSL效应可能在现有技术的实验检测(或反驳)范围内。添加注释:在CSL模型(Adler和Ramazanoglu,arXiv:0707.3134)中,对原子系统辐射的仔细计算恢复了Fu获得的最佳λ上限,这对CSL模型现象学具有重要意义。

英文摘要:

We study lower and upper bounds on the parameters for stochastic state vector reduction, focusing on the mass-proportional continuous spontaneous localization (CSL) model. We show that the assumption that the state vector is reduced whan a latent image is formed, in photography or etched track detection, requires a CSL rate parameter $λ$ that is larger than conventionally assumed by a factor of roughly $2 \times 10^{9\pm 2}$, for a correlation length $r_C$ of $10^{-5}{\rm cm}$. We reanalyze existing upper bounds on the reduction rate and conclude that all are compatible with such an increase in $λ$. The best bounds that we have obtained come from a consideration of heating of the intergalactic medium (IGM), which shows that $λ$ can be at most $\sim 10^{8\pm 1}$ times as large as the standard CSL value, again for $r_C=10^{-5} {\rm cm}$. (For both the lower and upper bounds, quoted errors are not purely statistical errors, but rather are estimates reflecting modeling uncertainties.) We discuss modifications in our analysis corresponding to a larger value of $r_C$. With a substantially enlarged rate parameter, CSL effects may be within range of experimental detection (or refutation) with current technologies. ADDED NOTE: A careful calculation of radiation from atomic systems in the CSL model (Adler and Ramazanoglu, arXiv:0707.3134) has reinstated the bound obtained by Fu as the best upper bound on lambda, with significant implications for CSL model phenomenology.

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