Tag Archives: Topology

Algebraic Topology

Posted on July 8, 2014 by PlatoHagel

A first course in Algebraic Topology, with emphasis on visualization, geometric intuition and simplified computations. Given by Assoc Prof N J Wildberger at UNSW. The really important aspect of a course in Algebraic Topology is that it introduces us to … Continue reading →

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Noncommutative standard model

Posted on September 15, 2012 by PlatoHagel

In theoretical particle physics, the non-commutative Standard Model, mainly due to the French mathematician Alain Connes, uses his noncommutative geometry to devise an extension of the Standard Model to include a modified form of general relativity. This unification implies a … Continue reading →

Posted in General Relativity, Geometrics, Projective Geometry, Topology | Tagged , , , | 2 Comments

Inspirations

Posted on March 8, 2012 by PlatoHagel

Inspired on Escher’s works. A free vision on how could be his workplace. I was made aware of This Youtube video by Clifford of Asymptotia. He also linked, Lines and Colors. Dialogos of Eide

Posted in Maurits Cornelis Escher, Riemann Sylvestor surfaces, Sir Roger Penrose, Topology | Tagged , , , | Leave a comment

Another Kind of Sideways

Posted on August 16, 2011 by PlatoHagel

 I wanted to expand on where the title,”Another Kind of Sideways.” This blog posting  came from an interview with Clifford of Asymptotia by PBS. He had a posting of his own entitled Multiverse Musings about a Nova series on PBS … Continue reading →

Posted in Dimension, Finiteness in String theory Landscape, Genus Figures, Multiverse, Outside Time, String Theory, Topology | Tagged , , , , , , | Leave a comment

Gravitons and Topoi if an illusion, then Where’s the Truth?

Posted on January 23, 2010 by PlatoHagel

“Useful as it is under everyday circumstances to say that the world exists “out there” independent of us, that view can no longer be upheld. There is a strange sense in which this is a “participating universe” Wheeler (1983). Taken … Continue reading →

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Coffee and Donut?

Posted on November 19, 2009 by PlatoHagel

A continuous deformation (homeomorphism) of a coffee cup into a doughnut (torus) and back. Similarly, the hairy ball theorem of algebraic topology says that “one cannot comb the hair flat on a hairy ball without creating a cowlick.” *** This … Continue reading →

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Three-body problem and WMAP

Posted on September 28, 2008 by PlatoHagel

“We all are of the citizens of the Sky” Camille Flammarion In 1858, by the set of its relations, it will allow Camille Flammarion, the 16 years age, to enter as raises astronomer at the Observatory of Paris under the … Continue reading →

Posted in HENRI POINCARE, Klein, L5, lagrangian, Moon, Three Body Problem, Topology | Tagged , , , , , , | Leave a comment

The Geologist and the Mathematician

Posted on July 12, 2008 by PlatoHagel

In an ordinary 2-sphere, any loop can be continuously tightened to a point on the surface. Does this condition characterize the 2-sphere? The answer is yes, and it has been known for a long time. The Poincaré conjecture asks the … Continue reading →

Posted in HENRI POINCARE, Mandelstam, Pascal, Self Evident, Topology | Tagged , , , , | 20 Comments

Stringy Geometry

Posted on March 8, 2008 by PlatoHagel

fancier way of saying that is that in general, it’s okay to model the space around us using the Euclidean metric. But the Euclidean model stops working when gravity becomes strong, as we’ll see later. The Euclidean model for space … Continue reading →

Posted in Black Holes, Finiteness in String theory Landscape, Holonomy, KK Tower, String Theory, Topology | Tagged , , , , , | Leave a comment

Inside Out

Posted on February 12, 2008 by PlatoHagel

3.1 As Cytowic notes, Plato and Socrates viewed emotion and reason as in a kind of struggle, one in which it was vitally important for reason to win out. Aristotle took a more moderate view, that both emotion and reason … Continue reading →

Posted in Colour of Gravity, Emotion, Outside Time, Plato's Cave, Raphael, School of Athens, Self Evident, Socratic Method, Synesthesia, Topology, Toposense | Tagged , , , , , , , , , , | Leave a comment