Scattering amplitudes are fundamental objects in quantum theories.
Traditionally, one hypothesizes physical requirements such as locality and
unitarity. The amplitudes are computed by summing over all physical
processes that lead from the initial to the final state. The paper proposes
the concept of the Amplituhedron, which eschews these for a platonic ideal
of an underlying geometric construct. Physical principles are argued to
follow as a corollary. The framework captures the basic essence of quantum
dynamics and distills it into fundamental building blocks ,which are not
particles or their associated fields. By abstracting the essential features,
the authors argue that they can write down a simpler theory, maintaining all
the symmetries and simplifying computations.