See this interesting article.
"Physicists reported this week
the discovery of 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.
"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 amplituhedron, or a similar geometric object, could help by removing
two deeply rooted principles of physics: locality and unitarity."
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