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Quantum Gravity as Escher's Dragon

机译:量子引力作为埃舍尔之龙

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The main obstacle in attempts to construct a consistent quantum gravity is the absence of independent flat time. This can in principle be cured by going out to higher dimensions. The modern paradigm assumes that the fundamental theory of everything is some form of string theory living in space of more than four dimensions. We advocate another possibility that the fundamental theory is a form of D = 4 higher derivative gravity. This class of theories has a nice feature of renormalizability, so that perturbative calculations are feasible. There are also finite N = 4 supersymmetric conformal supergravity theories. This possibility is particularly attractive. Einstein's gravity is obtained in a natural way as an effective low-energy theory. The N = 1 supersymmetric version of the theory has a natural higher dimensional interpretation due to V.I. Ogievetsky and E.S. Sokatchev, which involves embedding our curved Minkowski spacetime manifold into flat eight-dimensional space. Assuming that a variant of the finite
机译:试图构造一致的量子引力的主要障碍是缺乏独立的平坦时间。原则上,这可以通过加大尺寸来解决。现代范式假定一切基本理论都是弦理论的某种形式,存在于四个以上的空间中。我们提倡另一种可能性,即基础理论是D = 4更高导数引力的形式。此类理论具有可重归一化的良好功能,因此微扰计算是可行的。也有有限的N = 4超对称共形超重力理论。这种可能性特别有吸引力。爱因斯坦的引力是作为一种有效的低能理论以自然方式获得的。由于V.I,该理论的N = 1超对称形式具有自然的高维解释。 Ogievetsky和E.S.索卡切夫(Sokatchev),其中涉及将弯曲的Minkowski时空流形嵌入到平坦的八维空间中。假设有限变体

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