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Michael Rios & David Chester – Conversations with Scientists: Lie Algebras and Extremal Black Holes

Quantum Gravity Research | September 5, 2025



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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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Written by Quantum Gravity Research

Comments

This post currently has 11 comments.

  1. @tombarker4163

    September 5, 2025 at 1:23 pm

    Best video ever! He got me asking my guide questions about what he brought up. I was given the answers in very easy to understand so quick that he goes on about torsion and viola it exactly matches what I was told. Sorry it's so easy to explain I'm not giving it away. I'd would love to spend some time talking to him. Seems that he could help with matching some math to it.
    Wow. Yesterday I didn't know how gravity works and today I understand how the Higgs Field or something similar makes gravity stronger or weaker as we perceive it.
    Merry Fucking Christmas to me! LoL!

  2. @Dyslexic-Artist-Theory-on-Time

    September 5, 2025 at 1:23 pm

    Could Relativity and Quantum Mechanics be linked together with this equation (E=ˠM˳C²)∞? With energy ∆E equals mass ∆M linked to the Lorentz contraction ˠ of space and time. The Lorentz contraction ˠ represents the time dilation of Einstein’s Theory of Relativity. We have energy ∆E slowing the rate that time ∆t flows as a universal process of energy exchange or continuous creation. Mass will increase relative to this process with gravity being a secondary force to the electromagnetic force. The c² represents the speed of light c radiating out in a sphere 4π of EMR from its radius forming a square c² of probability. We have to square the probability of the wave-function Ψ because the area of the sphere is equal to the square of the radius of the sphere multiplied by 4π. This simple geometrical process forms the probability and uncertainty of everyday life and at the smallest scale of the process is represented mathematically by Heisenberg’s Uncertainty Principle ∆×∆pᵪ≥h/4π. In such a theory the future is unfolding photon by photon with the movement of charge and flow of EM fields. This gives us a geometrical reason for positive and negative charge with a concaved inner surface for negative charge and a convexed outer surface for positive charge. The brackets in the equation (E=ˠM˳C²)∞ represent a dynamic boundary condition of an individual reference frame with an Arrow of Time or time line for each frame of reference. The infinity ∞ symbol represents an infinite number of dynamic interactive reference frames that are continuously coming in and out of existence.

  3. @dalesmith8403

    September 5, 2025 at 1:23 pm

    the universal matter/anti-matter cycle is via the black holes(event horizons) into least densities anti-matter space/time.
    Or the Great expansion of accelerating SpaceTime.
    The cycles of fusion engines is the elements cooker for the possibilities of the periodical chart.
    Time and distances are distorted by the nano matrix effect, yet to be told.
    That's old action/reaction matrix effect signal out there.
    Gravity is the qaunta matrix blane field cycle from least density to most density.
    or falling in a nano time start/stop observation of the 3D realm of known theory.
    The nano verse starts n stops a billion times a second.
    The universe is digital.
    And a nano space/time on the branes concept is the only way to explain
    Gravity.
    As the the nano fields condense into their element state,
    What we see and feel as
    Gravity
    is condensed down to the place where these guyz play house.

    nobody knows the principal, yet !

    but! their working on it !

    hope that helps !

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