Uploaded December 2017 | Updated September 2026, 2 weeks ago
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Mathematicians & QGR Friends Michael Rios & David Chester walk around UCLA and discuss mathematics and physics.
The study of particle physics relies on Lie algebras for Yang-Mills theories, such as the standard model. Gravity, on the other hand, is described by Riemannian geometry that doesn't include the needed "unitary" Lie algebras used to describe standard model matter and force particles. Quarks and their corresponding force particles, the gluons, are described by the Lie algebra SU(3). In order to combine, this SU(3) "color" symmetry with Einstein's gravity, a mathematical object called a fiber bundle can be used.
Moreover, since the 1960's a more advanced form of the fiber bundle was envisioned by mathematician Alexander Grothendieck, and this is now known as non-commutative geometry. The physics of extended objects in string theory that generalize the string, called "D-branes", were found to inherently exist in non-commutative geometries. Mike and David agree that many of the hints of a "unified theory" are already published and need to be pieced together like a puzzle.
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Love our work? Help us continue our research by joining our giving circle. Even just $1/month helps us further our cause: quantumgravityresearch.givingcircles.io
Mathematicians & QGR Friends Michael Rios & David Chester walk around UCLA and discuss mathematics and physics.
The study of particle physics relies on Lie algebras for Yang-Mills theories, such as the standard model. Gravity, on the other hand, is described by Riemannian geometry that doesn't include the needed "unitary" Lie algebras used to describe standard model matter and force particles. Quarks and their corresponding force particles, the gluons, are described by the Lie algebra SU(3). In order to combine, this SU(3) "color" symmetry with Einstein's gravity, a mathematical object called a fiber bundle can be used.
Moreover, since the 1960's a more advanced form of the fiber bundle was envisioned by mathematician Alexander Grothendieck, and this is now known as non-commutative geometry. The physics of extended objects in string theory that generalize the string, called "D-branes", were found to inherently exist in non-commutative geometries. Mike and David agree that many of the hints of a "unified theory" are already published and need to be pieced together like a puzzle.
Love our work and want more content? Please support our mission, even $1/month helps: quantumgravityresearch.givingcircles.io
VISIT THE QGR WEBSITE: quantumgravityresearch.org
GET TO KNOW QGR’s RESEARCH SCIENTISTS: quantumgravityresearch.org/about-quantum
READ OUR RESEARCH PAPERS & PRESENTATIONS: quantumgravityresearch.org/portfolio/all-papers
QGR FACEBOOK: facebook.com/QuantumGravityResearch
QGR TWITTER: twitter.com/emergencetheory?lang=en
QGR INSTAGRAM: instagram.com/quantumgravityresearch
KLEE IRWIN'S WEBSITE: kleeirwin.com
