Category Archives: Non Euclidean

Stretching the Brain

Posted on March 7, 2005 by PlatoHagel

Pettit shakes a remarkably sturdy film of water onboard the ISS. See the full-length movie: Reel 1, Reel 2. “Observations of nature, no matter how seemingly arcane, are like peeling off one more layer from the great onion of knowledge, … Continue reading →

Posted in Analogies, Brain, Branes, geometries, Graviton, Gravity, Metrics, Moose, Non Euclidean, Quantum Gravity, String Theory, Topology, Toy Model | Tagged , , , , , , , , , , , , | Leave a comment

HIgher Dimensions Without the Geometry?

Posted on February 13, 2005 by PlatoHagel

In Illusions and Miracles I became concerned with what the mind’s capabilties which could encounter fifth dimensional views. That such examples were needed, and found in relation to Thomas Banchoff. Having understood the early development from Euclidean perspective, our furthered … Continue reading →

Posted in Complexity, Curvature Parameters, geometries, Non Euclidean, Omega, Phase Transitions, String Theory, Symmetry, Symmetry Breaking, Thomas Banchoff, When is a pipe a pipe? | Tagged , , , , , , , , , , | Leave a comment

When Gravity Becomes Strong……

Posted on February 8, 2005 by PlatoHagel

The value of non-Euclidean geometry lies in its ability to liberate us from preconceived ideas in preparation for the time when exploration of physical laws might demand some geometry other than the Euclidean. Bernhard Riemann It is very important that … Continue reading →

Posted in Art, Computers, Curvature Parameters, Dimension, Earth, Einstein, General Relativity, geometries, Gravity, LIGO, Non Euclidean, Photon, String Theory | Tagged , , , , , , , , , , , , | Leave a comment

Left or Right Brain Doesn’t Matter, When your In The Dimenisons?

Posted on February 2, 2005 by PlatoHagel

Einstein in response tyo Minkowski’s Space World: Since there exist in this four dimensional structure [space-time] no longer any sections which represent “now” objectively, the concepts of happening and becoming are indeed not completely suspended, but yet complicated. It appears … Continue reading →

Posted in Analogies, Brain, Chaldni, Concepts, Dimension, Einstein, General Relativity, geometries, Gravity, Higgs, nodal, Non Euclidean, Particles, Photon, Quantum Gravity, Ramanujan, Self-Organization, Sound | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

The Emergence of Time, What Lies Beneath?

Posted on January 10, 2005 by PlatoHagel

The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated. Taken in context of how supersymmetrical levels could have ever been reached, is really a wonderful thnng to … Continue reading →

Posted in Analogies, Emergence, Gravity, Laughlin, Mathematics, Metrics, Non Euclidean, Quantum Gravity, Stephen Hawking, Topology | Tagged , , , , , , , , , | Leave a comment

GR Reduced From Higher Dimensions?

Posted on January 4, 2005 by PlatoHagel

Earlier in my blog, I posted a subject called the Classical discription of the quantum world Now it was a big leap of faith on my part that I saw these events as distilliations of a larger and more dynamic … Continue reading →

Posted in General Relativity, geometries, Non Euclidean, Nothing, Phase Transitions, Standard model, String Theory, Topology, WMAP | Tagged , , , , , , , , | Leave a comment

Where to Now?

Posted on December 30, 2004 by PlatoHagel

Once you see parts of the picture, belonging to the whole, then it becomes clear what a nice picture we will have?:) I used it originally for the question of the idea of a royal road to geometry, but have … Continue reading →

Posted in Cosmic Strings, deduction, Dimension, Einstein, Gauss, geometries, Giovanni Girolamo Saccheri, Gravity, Hulse, imagery, Imagery dimension, KK Tower, Mathematics, nodal, Non Euclidean, Quantum Gravity, School of Athens, Taylor, Topology | Tagged , , , , , , , , , , , , , , , , , , | Leave a comment

Hodge Conjecture

Posted on December 21, 2004 by PlatoHagel

Interplay between geometry and topology. One of the things that I am having difficulty with is if I understood the idea of a cosmic string. The understanding would have to imply that the higher dimensions would reveal themselves within the … Continue reading →

Posted in Branes, Cosmic Strings, Genus Figures, geometries, Gravity, Non Euclidean, Quantum Gravity, Stephen Hawking, String Theory, Topology | Tagged , , , , , , , , , | Leave a comment

Dilation and the Cosmic String

Posted on December 19, 2004 by PlatoHagel

One such field, called the dilaton, is the master key to string theory; it determines the overall strength of all interactions. The dilaton fascinates string theorists because its value can be reinterpreted as the size of an extra dimension of … Continue reading →

Posted in Dimension, Einstein, General Relativity, Gravity, Non Euclidean, String Theory, Symmetry, Time Travel, Veneziano | Tagged , , , , , , , , | Leave a comment

3 Sphere

Posted on December 15, 2004 by PlatoHagel

What would mathemaics be without artistic expression, trying out it’s hand at how such geometrical visions continue to form? Did Escher Gauss and Reimann, see above 3 sphere? An expression of Salvador Dali perhaps in some religious context, who then … Continue reading →

Posted in Dimension, Gauss, Genus Figures, Mathematics, Non Euclidean, Particles, Veneziano | Tagged , , , , , , | 2 Comments