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Topography of Energy
Together, the two images form a conceptual diptych: IMAGE ONE:The Landscape of Possible Becoming ↓ IMAGE TWO:The Geometry Beneath the Point And between them lies what may be one of the central formulations of your Geometry of Memory: Possibility descends into resonance; resonance stabilizes into form; form leaves a geometry through which consciousness may later…
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“The point is that strings are not points…”
Together, the two images form a conceptual diptych: IMAGE ONE:The Landscape of Possible Becoming ↓ IMAGE TWO:The Geometry Beneath the Point And between them lies what may be one of the central formulations of your Geometry of Memory: Possibility descends into resonance; resonance stabilizes into form; form leaves a geometry through which consciousness may later…
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Algebraic Topology
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 a wide range of novel objects: the sphere, torus, projective plane, knots, Klein bottle, the…
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Noncommutative standard model
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 few constraints on the parameters of the Standard Model. Under an additional assumption, known as…
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Inspirations
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Another Kind of Sideways
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 in the Fall related to Brian Greene’s book, The Fabric of the Cosmos. Where would…
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Gravitons and Topoi if an illusion, then Where’s the Truth?
“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 from-Valuations in the language of Topos theory It is always that the representative language current,…
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Coffee and Donut?
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 fact is immediately convincing to most people, even though they might not recognize the more…
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Three-body problem and WMAP
“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 orders of Urbain the Glassmaker, at the office of calculations. See:The Gravity Landscape and Lagrange…
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The Geologist and the Mathematician
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 same question for the 3-sphere, which is more difficult to visualize. On December 22, 2006,…
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Stringy Geometry
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 The magic square of “Albrect Durer” located in my index on the right is fascinating…
