Superoscillations in High Energy Physics and Gravity

TL;DR

This paper investigates superoscillations in classical and quantum field theories, introducing novel solutions and exploring their implications for quantum gravity, black hole information paradox, and potential experimental applications.

Contribution

It presents new solutions to fundamental equations, constructs a Fock space for superoscillating states, and links superoscillations to quantum gravity phenomena and black hole information transfer.

Findings

New solutions to Klein-Gordon, Dirac, Maxwell, Einstein equations

Construction of Fock space with superoscillating states

Proposed mechanisms for information transfer in black holes

Abstract

We explore superoscillations within the context of classical and quantum field theories, presenting novel solutions to Klein-Gordon's, Dirac's, Maxwell's and Einstein's equations. In particular, we illustrate a procedure of second quantization of fields and how to construct a Fock space which encompasses Superoscillating states. Furthermore, we extend the application of superoscillations to quantum tunnelings, scatterings and mixings of particles, squeezed states and potential advancements in laser interferometry, which could open new avenues for experimental tests of Quantum Gravity effects. By delving into the relationship among superoscillations and phenomena such as Hawking radiation, the Black Hole (BH) information and the Firewall paradox, we propose an alternative mechanism for information transfer across the BH event horizon.