GEOMETRY—SOURCE OF ALL BEAUTY?
Geometry may be the source of true beauty. And now, new findings suggest that it may even be the source of the universe itself.
We take a look at a beautiful new geometry discovery as well as some gorgeous new views of a geometric wonder.
Physicists have discovered a jewel-like geometric object that challenges the notion that time and space are fundamental components of reality.
Particle interactions, the most basic events in nature, may be driven by geometry. Rather than impossibly long formulas, with thousands of terms, one can compute the volume of the “amplituhedron,” which yields an equivalent one-term expression. It’s a totally new and very simple idea. And it could add layers of understanding to both quantum field theory and quantum gravity, as well as how they may relate to each other.
The amplituhedron removes two deeply rooted principles of physics: locality (interactions are only possible from adjoining positions in space and time) and unitarity (probabilities of all possible outcomes must add up to one).
Now space-time and probabilities are reconsidered in relation to geometry it simplifies the way we calculate the way our universe works.
The new amplituhedron research suggests space-time, and therefore dimensions, may be illusory. It may be that the Big Bang and the universe that emerged and evolved arose out of pure geometry.
We’ve barely scratched the surface of this jewel. It’s a beginning of a road. Physicists must also prove that the new geometric formulation works with real, existing particles, vs theoretical models.
Watch Nimi Arkami’s lecture about the Amplituhedron here.
Read more about it in Quanta Magazine.
Alexey Kljatov loves to photograph snowflakes. He’s figured out how to capture them so cleanly, that you see their geometric crystalline structures clearly. And they are gorgeous.
Snowflakes change shape with temperature and humidity fluctuations. The shapes are simpler when humidity is low and more complex when humidity is high.
Dendrites, the common six-armed shape, form at temperatures between 3 and 10 degrees Fahrenheit. Hollow columns form at 14 to 21 degrees Fahrenheit. Needles form at 21 to 25 Fahrenheit.
“I capture snowflakes on the open balcony of my house, mostly on glass surface, lighted by an LED flashlight from the opposite side of the glass, and sometimes in natural light, using dark woolen fabrics as background,” explains Kljatov.
Read more about Beautiful Geometry, it relates to Arts/Design, Nature/Science, Food/Drink, Place/Time, Mind/Body, and Soul/Impact, including New Visions for the Love of Shapes, in our posts throughout this week.
Enter this week’s BN Competition. Our theme this week is Beautiful Geometry. Send in your images and ideas. Deadline is 02.09.14.
Photo Credits:
1) Photo: Alexey Kljatov. Macro of Snowflake.
2) Image: Andy Gilmore. Amplituhedron.
3) Image: Courtesy of Moonrunner Design. Higgs Boson.
4) Photo: Courtesy of Nima Arkani-Hamed. Amplituhedron drawing.
5) Photo: Courtesy of Flimflamlab. Amplituhedron.
6) Photo: Alexey Kljatov. Macro of Snowflake.
7) Photo: Alexey Kljatov. Macro of Snowflake.
8) Photo: Alexey Kljatov. Macro of Snowflake.
9) Photo: Alexey Kljatov. Macro of Snowflake.
10) Photo: Alexey Kljatov. Macro of Snowflake.