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Geometry of Memory
Socrates: Yes, having now looked again at these two posts, I see more clearly that the geometers were not an incidental historical interest in your work. They were already forming the skeleton of what we have recently called the Geometry of Memory. The first post, No Royal Road to Geometry? (2004), contains the essential seed.…
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Assess Geometric Relationships
http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Geom/WKCGeom.html “On the Hypotheses which lie at the Bases of Geometry.Bernhard RiemannTranslated by William Kingdon Clifford [Nature, Vol. VIII. Nos. 183, 184, pp. 14–17, 36, 37.] Plan of the Investigation. It is known that geometry assumes, as things given, both the notion of space and the first principles of constructions in space. She gives definitions…
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Who said it?
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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Comparing Amplitutdes of the String
Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state. So one tends to get in this mode of thinking, that the way in which one measures…
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The History of Magnetic Vision
Grossmann is getting his doctorate on a topic that is connected with non-Euclidean geometry. I don’t know what it is. Einstein to Mileva Maric,1902 Animal Navigation The long-distance navigational abilities of animals have fascinated humans for centuries and challenged scientists for decades. How is a butterfly with a brain weighing less than 0.02 grams able…
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IN Search of Mandelstam’s Holy Grail
There are two posts that reflect the purpose of this post today. One is Clifford’s linked through Lee Smolin’s comment and the other, at Backreaction. Good Physics is Conflict A lot of you may never understand the significance of the mystery that follows the thinking of the Holy Grail. Yet is it more the knowledge…
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Where are my keys?
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The Mathematikoi had Synesthesia?
Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a main inspirational source for Plato and platonism. Later resurgence of ideas similar to those held by the early Pythagoreans are collected under the term Neopythagoreanism. The Pythagoreans…
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Visual Abstraction to Equations
Sylvester’s models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an illuminated glass cabinet in the Institute Common Room. Some of you might have noticed the…
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Reaching for the Stars
Mars in 6 weeks? And back in a total of four months? That’s the prediction of a design team working on antimatter rocket concepts at Pennsylvania State University. But first, you have to get the stuff – and store it. (PSU) The popular belief is that an antimatter particle coming in contact with its matter…
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Types of Blogging Software
Ask yourself this? What is the new kernel to be, if we had for one moment presented the opportunities for the using Riemann hypothesis, and contained the very idea as a philosophy presented within this blog? A VIEW OF MATHEMATICS by Alain CONNES Each generation builds a mental picture” of their own understanding of this…
