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arXiv 1303.1256gr-qchep-thquant-ph
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短程线运动中的量子引力效应及对等效原理破坏的预言

Quantum Gravity Effects in Geodesic Motion and Predictions of Equivalence Principle Violation

Subir Ghosh

摘要:

证明了量子引力(QG)效应违反了等效原理(EP)。预测的违规行为进行了比较,引力红移,相互作用定律和自由降落的普遍性的实验观察。这使我们能够推导出$β$的明确界限-QG尺度。在我们的方法中,出现了偏差的测地线运动的粒子。这种偏离是由非对易时空引起的,符合广义不确定原理(GUP)。GUP承认QG理论所主张的最小长度尺度的存在。值得注意的是,GUP引起的修正是相当强大的,因为我们得到的$β$上的界,{ \it{in General Relativity scenario in an essentially classical setting} }的修改测地线运动,是密切可比的类似的边界在最近的文献\cite{vag}。后者是在{ \it{flat} }时空中的纯{ \it{quantum} }物理域中计算的。

英文摘要:

We show that the Equivalence Principle (EP) is violated by Quantum Gravity (QG) effects. The predicted violations are compared to experimental observations for Gravitational Redshift, Law of Reciprocal Action and Universality of Free Fall. This allows us to derive explicit bounds for $β$ - the QG scale. In our approach, there appears a deviation in the geodesic motion of a particle. This deviation is induced by a non-commutative spacetime, consistent with a Generalized Uncertainty Principle (GUP). GUP admits the presence of a minimum length scale, that is advocated by QG theories. Remarkably, the GUP induced corrections are quite robust since the bound on $β$ obtained by us, {\it{in General Relativity scenario in an essentially classical setting}} of modified geodesic motion, is closely comparable to similar bounds in recent literature \cite{vag}. The latter are computed in purely {\it{quantum}} physics domain in {\it{flat}} spacetime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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