Multiscale spacetimes from first principles

被引：30
|
作者：
Calcagni, Gianluca [1 ]
机构：
[1] CSIC, Inst Estruct Mat, Serrano 121, E-28006 Madrid, Spain
来源：
PHYSICAL REVIEW D | 2017年 / 95卷 / 06期
关键词：
QUANTUM-FIELD-THEORY; FRACTAL SPACETIME; THEORY MODELS; GRAVITY;
D O I：
10.1103/PhysRevD.95.064057
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Assuming only a smooth and slow change of spacetime dimensionality at large scales, we find, in a background- and model-independent way, the general profile of the Hausdorff and the spectral dimension of multiscale geometries such as those found in all known quantum gravities. Examples of various scenarios are given. In particular, we derive uniquely the multiscale measure with log oscillations of theories of multifractional geometry. Predictivity of this class of models and falsifiability of their abundant phenomenology are thus established.
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页数：7
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