Category Archives: Quantum Gravity

Quantum Geometry

Posted on December 9, 2004 by PlatoHagel

Mathematics is not the rigid and rigidity-producing schema that the layman thinks it is; rather, in it we find ourselves at that meeting point of constraint and freedom that is the very essence of human nature. – Hermann Weyl I … Continue reading →

Posted in Brian Greene, Einstein, Elephant, General Relativity, geometries, Gravity, Loop Quantum, M Theory, Mathematics, Quantum Gravity, Smolin, String Theory, Susskind, Topology, Witten | Tagged , , , , , , , , , , , , , , | Leave a comment

Quantum Mechanical Discription of the Spacetime Fabric

Posted on December 8, 2004 by PlatoHagel

Richard Feynman developed the path integral formulation of quantum mechanics in 1948 (some preliminaries were worked out earlier, in the course of his doctoral thesis work with John Archibald Wheeler) as a description of quantum theory corresponding to the action … Continue reading →

Posted in Brian Greene, Dimension, Earth, Einstein, Gravity, Kaluza, Mathematics, Photon, Quantum Gravity, String Theory, Summing over Histories | Tagged , , , , , , , , , , , | Leave a comment

Quantum Harmonic Oscillators

Posted on December 5, 2004 by PlatoHagel

If the basis of this thinking has not emerged out of GR then what value could we have assigned zero point vibration? If the scalable features of GR could not have followed some geometrical thinking, then the world that we … Continue reading →

Posted in General Relativity, Gravity, Kip Thorne, LIGO, Microscopic Blackholes, Non Euclidean, Oscillations, Quantum Gravity | Tagged , , , , , , , , , | Leave a comment

Quantum Microstates: Gas Molecules in the Presence of a Gravitational Field

Posted on December 4, 2004 by PlatoHagel

Andy Strominger: This was a field theory that lived on a circle, which means it has one spatial dimension and one time dimension. We derived the fact that the quantum states of the black hole could be represented as the … Continue reading →

Posted in Black Holes, Boltzmann, Dimension, Einstein, Entropy, General Relativity, Gravity, Microscopic Blackholes, Quantum Gravity, String Theory | Tagged , , , , , , , , , , | Leave a comment

Inverse Fourth Power Law

Posted on December 3, 2004 by PlatoHagel

By moving our perceptions to fifth dimenisonal views of Kaluza and KLein, I looked at methods that would help me explain that strange mathematical world that I had been lead too geometrically. If such a bulk existed, then how would … Continue reading →

Posted in Dimension, Emergence, Euclid, Game Theory, geometries, Gravity, Inverse Square Law, Kaluza, Klein, Microscopic Blackholes, Particles, Quantum Gravity, Quark Confinement, Quarks, Strange Matter, String Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

Mapping Quark Confinement and The Energy

Posted on December 2, 2004 by PlatoHagel

As I moved through the thinking of those extra dimensions it became apparent to me that the conceptualization of that distance scale was a strange world indeed. How, if we had accept the move to non-euclidean views could we not … Continue reading →

Posted in Dimension, Einstein, Faraday, Gauss, geometries, Gravity, Kaluza, Klein, Non Euclidean, Photon, Projective Geometry, Quantum Gravity, Quark Confinement, Symmetry, Time Travel | Tagged , , , , , , , , , , , , , , | Leave a comment

A Classical Discription of the Quantum World?

Posted on November 30, 2004 by PlatoHagel

D Orbital Orbitals are probability diagrams. Specifically, an orbital describes a region in space where there is a 90% change of finding an electron. The electron is never restricted to an orbital as in travels around a nucleus, but it … Continue reading →

Posted in Earth, Gravity, Heisenberg, Kaluza, Klein, LIGO, M Theory, Orbitals, Particles, Photon, Quantum Gravity, String Theory | Tagged , , , , , , , , , , , | Leave a comment

Quantum Geometricization: The Struggle

Posted on November 29, 2004 by PlatoHagel

If Lorentz symmetry is broken by some mechanism originating at the Planck scale, is there any hope of detecting such an effect? Surprisingly, the answer is yes. Over the past decade Kostelecky and co-workers have been exploring how a violation … Continue reading →

Posted in Brian Greene, Einstein, General Relativity, geometries, Gravity, Nothing, Particles, Quantum Gravity, Smolin, Standard model, String Theory, Symmetry | Tagged , , , , , , , , , , , | Leave a comment

Non Euclidean Geometry and the Universe

Posted on November 28, 2004 by PlatoHagel

With Critical density ( Omega ), matter distinctions become apparent, when looking at the computerized model of Andrey Kravtsov. Georg Friedrich Bernhard Riemann 1826 – 1866 Riemannian Geometry, also known as elliptical geometry, is the geometry of the surface of … Continue reading →

Posted in astronomy, Cosmology, Curvature Parameters, Einstein, Gauss, geometries, Gravity, M Theory, Non Euclidean, Omega, Quantum Gravity, Riemann Hypothesis, String Theory | Tagged , , , , , , , , , , , , | Leave a comment

No Royal Road to Geometry?

Posted on November 26, 2004 by PlatoHagel

All those who have written histories bring to this point their account of the development of this science. Not long after these men came Euclid, who brought together the Elements, systematizing many of the theorems of Eudoxus, perfecting many of … Continue reading →

Posted in Einstein, Euclid, Euler, General Relativity, geometries, Giovanni Girolamo Saccheri, Gravity, Loop Quantum, Mathematics, Music, Projective Geometry, Quantum Gravity, Summing over Histories | Tagged , , , , , , , , , , , , | Leave a comment