Over the last 40 years or so, the Standard Models of Particle Physics and
Cosmology have enjoyed unrivalled phenomenological successes.
Unfortunately, this has also meant that High Energy Physics has had very
little observational help in moving forward. Consequently, model builders
have relied heavily on theoretical prejudices, and I will talk about one
such prejudice, that of requiring our universe to be singularity free. In
particular, I will discuss whether covariant non-local theories can
resolve some of the classical and quantum singularities of their local
counterpart, and whether we can hope to find observational signatures of
these new models.