Spacetime with Zero Point Length is Two-Dimensional at the Planck Scale

  • Sumanta ChakrabortyEmail author
Part of the Springer Theses book series (Springer Theses)


It is of general belief that any quantum theory of gravity should share a generic feature, namely a quantum of length. The chapter provides a physical ansatz to obtain an effective non-local metric tensor starting from the standard metric tensor such that the spacetime naturally acquires a zero-point length, of the order of the Planck length. This prescription leads to several remarkable consequences. In particular, the Euclidean volume becomes two-dimensional as the Planck scale is being approached. This suggests that the physical spacetime becomes essentially 2-dimensional near Planck scale.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Theoretical PhysicsIndian Association for the Cultivation of ScienceJadavpur, KolkataIndia

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