Category Archives: Mathematics

Mirror Symmetry and Chirality?

Posted on December 19, 2004 by PlatoHagel

What is the mathematical reasoning, for reducing GR down to the quantum world? How would these application be considered in a supersymmetrical world? Is the figure-eight knot the same knot as its mirror-image? The property of “being the same as … Continue reading →

Posted in Branes, Cosmic Strings, imagery, Mathematics, String Theory, Symmetry | 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

What is the Ultimate Theory of Physics?

Posted on December 13, 2004 by PlatoHagel

It is always very interesting for me to try and understand how such short distances could have begun to have some visual world possibilities? When mathematics begins to develope a method to describing that same small world. Shahn Majid’s research … Continue reading →

Posted in CERN, Concepts, geometries, M Theory, Mathematics, Standard model, Strange Matter, String Theory, Topology | Tagged , , , , , , , , | Leave a comment

THE ANTHROPIC PRINCIPLE

Posted on December 9, 2004 by PlatoHagel

The String Theory Landscape, by Raphael Bousso and Joseph Polchinski Given the success of replacing the gravitational force with the dynamics of space and time, why not seek a geometric explanation for the other forces of nature and even for … Continue reading →

Posted in Dimension, Einstein, geometries, Glast, Graviton, Gravity, Kaluza, Landscape, M Theory, Mathematics, Particles, Quantum Gravity, Raphael Bousso, Smolin, String Theory, Susskind | Tagged , , , , , , , , , , , , , , , | Leave a comment

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

Gravity and Light in the Fifth Dimension

Posted on December 1, 2004 by PlatoHagel

Theodor Franz Eduard Kaluza November 9, 1885 – January 19, 1954 In Kaku’s preface of Hyperspace, page ix, we find a innocent enough statement that helps us orientate a view that previous to all understanding, is counched in the work … Continue reading →

Posted in Dimension, Gravity, Kaluza, Klein, Mathematics, Symmetry, Time Travel | Tagged , , , , , , | 5 Comments

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

The Man Who Knew Infinity:

Posted on November 24, 2004 by PlatoHagel

A Life of the Genius Ramanujanby Robert Kanigel Srinivas Ramanujan (1887-1920)In the past few decades, we have witnessed how Ramanujan’s contributions have made such a profound impact on various branches of mathematics. The book, “The man who knew infinity”, by … Continue reading →

Posted in Art, Brain, Dimension, General Relativity, Mathematics, Oscillations, Ramanujan, String Theory | Tagged , , , , , , , | Leave a comment

Quantum Gravity

Posted on November 22, 2004 by PlatoHagel

Here is one of two methods that help explain. The next post will follow tomorrow if I have time. The complexity of the pictures involved is linked down below in Fig 15-17. This will give some generalizations that I had … Continue reading →

Posted in Complexity, Cosmology, Dimension, General Relativity, Graviton, Gravity, Klein, Mathematics, Particles, Quantum Gravity, String Theory, Time Travel, Topology | Tagged , , , , , , , , , , , , | Leave a comment