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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…
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The Z Machine
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.— Nikolai Lobachevsky Sandia’s Z machine exceeds two billion degrees Kelvin Z’s energies in these experiments raised several questions. First, the radiated x-ray output was as much as four times the expected kinetic energy input.…
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What First principle was– was it the geometry
I thought I would contrast this quote of Dirac’s with the one of Feynman’s. You see the very idea of a constancy that spread through all Maxwell’s equations was a necessary one which allowed Einstein to move into positive and negative valuations within the geometries? So did Dirac know how this was to be approached?…
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Projective Geometries
Action at a Distance Now ths statement might seem counterproductive to the ideas of projective geometry but please bear with me. In physics, action at a distance is the interaction of two objects which are separated in space with no known mediator of the interaction. This term was used most often with early theories of…
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Point–> Line–>Plane <—> Point<– String<– Brane
Under the heading of Klein`s Ordering of the 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…
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The Unity of Mathematics
Alain Connes Where a dictionary proceeds in a circular manner, defning a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element”, a kind of elementary particle” of thought with a minimal amount of ambiguity in their defnition. I think what intrigues me most, is that a world…
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The Elastic Nature?
As I have explained in a earlier link I am fascinated by the images of bubbles that were demonstrated through a way of thinking of the early universe to arise as Bubble Nucleation. These images all show the 2-, 3-, 4-, and 5-fold eversions in the upper left, lower left, upper right, and lower right…
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Mapping Quark Confinement and The Energy
As I moved through the thinking of those extra dimensions it became apparent to me that the conceptualization of that distance scale was a strange world indeed. How, if we had accept the move to non-euclidean views could we not of accepted the consequences of this move? Dazzled with the amazing properties of this new…
