Abstract
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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Chakraborty, S. (2017). Spacetime with Zero Point Length is Two-Dimensional at the Planck Scale. In: Classical and Quantum Aspects of Gravity in Relation to the Emergent Paradigm. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-63733-4_12
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DOI: https://doi.org/10.1007/978-3-319-63733-4_12
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