Journal ArticleDOI
Small-scale structure of spacetime and its implications
TLDR
If there exists a lower bound l 0 to spacetime intervals which is Lorentz-invariant, then the effective description of spacetime that incorporates such a lower-bound must necessarily be nonlocal.Abstract:
If there exists a lower bound l0 to spacetime intervals which is Lorentz-invariant, then the effective description of spacetime that incorporates such a lower bound must necessarily be nonlocal. Su...read more
References
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Journal ArticleDOI
Minimal Length and Small Scale Structure of Spacetime
TL;DR: In this article, the authors show that there exists a nonlocal deformation of spacetime geometry given by a disformal coupling of metric to the biscalar, which yields a geodesic interval of ${L}_{0}$ in the limit $p\ensuremath{\rightarrow}P$.
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Entropy density of spacetime as a relic from quantum gravity
TL;DR: In this article, it is shown that the field equations of gravity can be derived from a thermodynamic variational principle in which a set of normalized vector fields are varied rather than the metric.
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Small scale structure of spacetime: The van Vleck determinant and equigeodesic surfaces
TL;DR: In this paper, a general and mathematically rigorous analysis of short distance structure of spacetime based on the geometry of equigeodesic surfaces was presented, and the van Vleck determinant (VVD) properties of VVD were analyzed.
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Spacetime with zero point length is two-dimensional at the Planck scale
TL;DR: In this article, the authors provide a physical ansatz to obtain an effective non-local metric tensor starting from the standard metric tensors such that the spacetime naturally acquires a zero-point length, of the order of the Planck length.
Journal ArticleDOI
Spacetime with zero point length is two-dimensional at the Planck scale
TL;DR: In this article, the authors provided a physical ansatz to obtain an effective non-local metric tensor starting from the standard metric tensors such that the spacetime acquires a zero-point-length of the order of the Planck length.