Category Archives: geometries

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

What Do We Mean When We Say "Continuum"?

Posted on December 7, 2004 by PlatoHagel

Here’s a description Albert Einstein gave on p. 83 of his Relativity: The Special and the General Theory: The surface of a marble table is spread out in front of me. I can get from any one point on this … Continue reading →

Posted in Einstein, General Relativity, geometries | Tagged , , | Leave a comment

The Elastic Nature?

Posted on December 5, 2004 by PlatoHagel

As I have explained in a earlier link I am fascinated by the images of bubbles that were demonstrated through a way of thinking of the early universe to arise as Bubble Nucleation. These images all show the 2-, 3-, … Continue reading →

Posted in Bubbles, Einstein, Gauss, geometries, Particles, Projective Geometry | 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

=> A Symmetry Breaking Phase Transition

Posted on December 2, 2004 by PlatoHagel

If we understand what that point suggests, we understand well what the planck length has told us to consider, that even for the briefest of moment, the gamma ray burst would have revealled the CMB in its glory, and slowly … Continue reading →

Posted in Brain, Brian Greene, Concepts, Dimension, Foundation, Gamma, geometries, KK Tower, Microscopic Blackholes, Strange Matter, String Theory, Symmetry, Symmetry Breaking, Topology | 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

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

A Quantum-Mechanical Discription of Gravity

Posted on November 17, 2004 by PlatoHagel

I do not know how much more generalized these views could have become from those who now look to what the physicists and theoreticians are doing in their questions for explaining the nature of the reality we are encountering. If … Continue reading →

Posted in Brian Greene, General Relativity, geometries, Glast, Gravity, Nothing, Quantum Gravity, String Theory | Tagged , , , , , , , | Leave a comment