https://www.simonsfoundation.org/quanta/20130917-a-jewel-at-the-heart-of-quantum-physics/

Physicists have discovered a jewel-like geometric object that
dramatically simplifies calculations of particle interactions and
challenges the notion that space and time are fundamental components
of reality.

“This is completely new and very much simpler than anything that has
been done before,” said Andrew Hodges, a mathematical physicist at
Oxford University who has been following the work.

The revelation that particle interactions, the most basic events in
nature, may be consequences of geometry significantly advances a
decades-long effort to reformulate quantum field theory, the body of
laws describing elementary particles and their interactions.
Interactions that were previously calculated with mathematical
formulas thousands of terms long can now be described by computing the
volume of the corresponding jewel-like “amplituhedron,” which yields
an equivalent one-term expression.

“The degree of efficiency is mind-boggling,” said Jacob Bourjaily, a
theoretical physicist at Harvard University and one of the researchers
who developed the new idea. “You can easily do, on paper, computations
that were infeasible even with a computer before.”

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Also:

http://www.motherjones.com/kevin-drum/2013/09/space-time-illusion-amplituhedron

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