In recent years, researchers question about the limits of the uncertainty relation.
Hints from quantum gravity theories suggest that the Heisenberg principle should be generalized.
Some considered implications in high energy physics, others have considered the mechanical motion of massive objects to look for possible tests of these supposed limits to the most important paradigm of quantum mechanics.
In a project funded by the John Templeton Foundation (grant number 58277), we consider the case of the photon, and study the possible way a generalized uncertainty principle may play a role in modern photonics, nonlinear and quantum optics.
The project started at 1 September 2015 and ended at 31 May 2018
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Quantum gravity challenges inspire a great variety of scientists, and photonics is opening several interesting and related directions.
In a paper posted in the ArXiv, Maria Chiara Braidotti, Ziad Musslimani and Claudio Conti show the way the generalized uncertainty principle, introduced for studying physics at the Planck scale, has a role in optics, and may stimulate unexpected applications for high resolution imaging and ultrafast propagation.
The picture shows a representation of the generalized uncertainty principle (G-UP) and the difference with the standard Heisenberg principle (H-UP), further details in our paper in the ArXiv.