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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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Loci: A Gallery of Ray Tracing for Geometers
The crystalline state is the simplest known example of a quantum , a stable state of matter whose generic low-energy properties are determined by a higher organizing principle and nothing else. Robert Laughlin Figure 10 with linked animation: Five-fold rotational symmetry of the dodecahedron Modern expositors of mathematics, with computers and open source ray tracing…
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The Body Canvas
Let no one destitute of geometry enter my doors.” Who would have known about the distinction I had thought only myself could bare the artistic rendition of a thought processes that had unfurled in my own expressive way many others had expressed. Yes I had seen students of science with qualitative formulas tattooed over their…
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Descriptive geometry
At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small and general relativity with the very large, many physicists feel that, for all practical purposes,…
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Projective Geometries
A theorem which is valid for a geometry in this sequence is automatically valid for the ones that follow. The theorems of projective geometry are automatically valid theorems of Euclidean geometry. We say that topological geometry is more abstract than projective geometry which is turn is more abstract than Euclidean geometry. It is always important…
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Gino Fano
Gino Fano (5 January 1871 – 8 November 1952) was an Italian mathematician. He was born in Mantua, Italy and died in Verona, Italy. Fano worked on projective and algebraic geometry; the Fano plane and Fano varieties are named for him. Ugo Fano and Robert Fano were his sons. There are reasons with which I…
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Great Pyramid was built inside out, Frenchman says
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Coxeter and Plato’s Cave
IN Beyond the Dance of the Sun I give an image of Plato’s Cave for consideration, about dimensinal perspectve. This is not only held in my mind in terms of what free people are chained in their perspectives, but I also feel, that the leading characteristics were kindly put forward not only by my own…
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Krauss Speaks, People React? :)
We understand that Alice is just part of the developing perspective we have about interactions? THis is consistant with Glast, as well as any calormetrical understanding, from an interaction? That we had not explain the extra energy should still be held respective positions in mind if incoming and outcoming energy calculatins do not match? That…
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On Gauss’s Mountain
You must understand that any corrections necessary are appreciated. The geometrical process spoken too here must be understood in it’s historical development to undertand, how one can see differently. Euclidean geometry, elementary geometry of two and three dimensions (plane and solid geometry), is based largely on the Elements of the Greek mathematician Euclid (fl. c.300…
