Bounds on length scales of classical spacetime foam models
Bounds on length scales of classical spacetime foam models
复制标题
经典时空泡沫模型的长度尺度界限
DOI：
10.1103/physrevd.75.024028
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发表时间：
2006
影响因子：
5
通讯作者：
F. Klinkhamer
中科院分区：
文献类型：
--
作者：
S. Bernadotte;F. Klinkhamer
经典时空泡沫的简单模型被认为是由相同的静态缺陷嵌入闵可夫斯基时空。在长波长极限下，在适当的边界条件下，得到了真空麦克斯韦方程组的平面波解。计算了相应的色散关系{omega}{sup 2}={omega}{sup 2}（k-矢量），特别是k-矢量中二次项和四次项的系数。对伽玛射线暴和超高能宇宙射线的天文观测，则对色散关系的系数，从而对所考虑的静态时空泡沫模型的基本长度尺度的特定组合施加了限制。具有单一长度尺度的时空泡沫模型被排除在外，即使是长度尺度接近普朗克长度的模型（只要经典时空仍然相关）
Simple models of a classical spacetime foam are considered, which consist of identical static defects embedded in Minkowski spacetime. Plane-wave solutions of the vacuum Maxwell equations with appropriate boundary conditions at the defect surfaces are obtained in the long-wavelength limit. The corresponding dispersion relations {omega}{sup 2}={omega}{sup 2}(k-vector) are calculated, in particular, the coefficients of the quadratic and quartic terms in k-vector. Astronomical observations of gamma-ray bursts and ultra-high-energy cosmic rays then place bounds on the coefficients of the dispersion relations and, thereby, on particular combinations of the fundamental length scales of the static spacetime foam models considered. Spacetime foam models with a single length scale are excluded, even models with a length scale close to the Planck length (as long as a classical spacetime remains relevant)