  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.
