The Geometry of God


The magazine Quanta has published an important new article:  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.

The article, although written for the layman, is right at the edge of what a person with only a superficial knowledge of Quantum Field Theory can understand.  Basically they have discovered an elegant geometric structure described mathematically in multi-dimensional space that allows them to describe the interactions of elemental particles that were calculated with equations thousands of terms long with the computation of the volume of the “amplituhedron,” which yields a one-term equation.  Quantum Field Theory has two pillars locality and unitarity (I’m not going to try to define them for you) that break down when considering a black hole.  This shows those pillars to be probably not fundamental.  The amplitudhedron shows the way past these pillars and also probably leads to the incorporation of quantum gravity which has remains elusive until now.

But this may lead to deeper insights.

Beyond making calculations easier or possibly leading the way to quantum gravity, the discovery of the amplituhedron could cause an even more profound shift; that is, giving up space and time as fundamental constituents of nature and figuring out how the Big Bang and cosmological evolution of the universe arose out of pure geometry.

Finally deep into this article is this quote.

“In a sense, we would see that change arises from the structure of the object,” he said. “But it’s not from the object changing. The object is basically timeless.”

Substitute God for “object” in the above paragraph.  I believe the physicists are beginning to stare at the Geometry of God.  And it is beautiful and elegant.