Duality and Zero-Point Length of Spacetime

T. Padmanabhan
Phys. Rev. Lett. 78, 1854 – Published 10 March 1997
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Abstract

The action for a relativistic free particle of mass m receives a contribution mds from a path of infinitesimal length ds. Using this action in a path integral, one can obtain the Feynman propagator for a spinless particle of mass m. Assuming that the path integral amplitude is invariant under the “duality” transformation dsLP2/ds, one can calculate the modified Feynman propagator. I show that this propagator is the same as the one obtained by assuming that quantum effects of gravity lead to modification of the spacetime interval (xy)2 to (xy)2+LP2. The implications of this result are discussed.

  • Received 27 August 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.1854

©1997 American Physical Society

Authors & Affiliations

T. Padmanabhan

  • IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India

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Vol. 78, Iss. 10 — 10 March 1997

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