They are good at it

Workout notes: though the weather was great, I went inside for my “faster” running segment:
treadmill: 5 min at 5.2, 5 at 5.3, 10 min at 6.7, 6.8 to 2 miles (28:xx), 6.9 to 35 minutes, and 7.0 3.75 and 7.1 for the final .25 (37:35 for 4), then 15 minutes at 15 mpm to get to 5 miles in 52:35.
Then 1 more mile of walking outside.

Weight: 191 on the gym scale prior to running. I don’t think that my weight training is helping my marathon prospects.🙂

Science: Three physics Nobel Prizes were awarded, and these physicists used topology to help them understand what they were studying:

David J. Thouless, F. Duncan M. Haldane and J. Michael Kosterlitz were awarded the Nobel Prize in Physics on Tuesday for discoveries in condensed-matter physics that have transformed the understanding of matter that assumes strange shapes. All three were born in Britain but work in the United States.

Using advanced mathematical models, the three scientists studied unusual phases, or states, of matter, such as superconductors, superfluids or thin magnetic films. Their findings have relevance for materials science and electronics.

Dr. Thouless of the University of Washington, Dr. Haldane of Princeton University and Dr. Kosterlitz of Brown University were honored by the Royal Swedish Academy of Sciences in Stockholm for “theoretical discoveries of topological phase transitions and topological phases of matter.”

Topology is a branch of mathematics that describes properties that change only in increments. In the early 1970s, Dr. Kosterlitz and Dr. Thouless “demonstrated that superconductivity could occur at low temperatures and also explained the mechanism, phase transition, that makes superconductivity disappear at higher temperatures,” the academy found.

In the 1980s, Dr. Thouless showed that the integers by which the conductivity of electricity could be measured were topological in their nature. Around that time, Dr. Haldane discovered how topological concepts could be used to understand the properties of chains of small magnets found in some materials.

“We now know of many topological phases, not only in thin layers and threads, but also in ordinary three-dimensional materials,” the academy said. “Over the last decade, this area has boosted front-line research in condensed matter physics, not least because of the hope that topological materials could be used in new generations of electronics and superconductors, or in future quantum computers.”

I think that “Topology is a branch of mathematics that describes properties that change only in increments.” refers to “continuous functions”. Of course, analysis and geometry uses continuity also, therefore I find this statement puzzling.

But to the reader who might wonder “what doesn’t change in increments”, consider electron orbitals (you studied these in chemistry). The electron energy levels are in discrete units and change in a quantum manner (“jump between discrete levels”).

October 4, 2016 - Posted by | physics, running, science, walking | ,

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