Introduction
These are exciting times for the field of physics. In 2012, researchers announced the discovery of the Higgs boson, a discovery four decades in the making, costing billions of dollars (and euros, pounds, yen and yuan) and involving some of the best minds on the planet. And in December 2015, researchers at the Large Hadron Collider in Europe reported that two separate experiments have reported possible traces of a new particle, one that might lie outside the Standard Model, although much more data and scrutiny will be required before anything definite can be said.
Yet behind the scenes a
Continue reading Data vs theory: the mathematical battle for the soul of physics
Andrea Rossi, Sven-Kullander and Hanno-Essen
Background
As we explained in earlier Math Drudge blogs (MD#1 and MD#2) and Huffington Post articles (HP#1) and HP#2), a revolution of sorts is brewing in the clean energy field, with the emergence of fusion and “low energy nuclear reaction” (LENR) energy. These processes, unlike fission reactions used in conventional nuclear reactors, need not emit dangerous radiation, nor do they produce radioactive byproducts. The fuel is plentiful and free — they key ingredient, hydrogen, is the most abundant element in the universe.
Scientists at universities and large government laboratories have been feverishly working
Continue reading Interview with Andrea Rossi, LENR energy pioneer
From David Broadhurst, October 5, 2015.
In honour of the memory of Richard Crandall (1947-2012), I have devised a puzzle on prime numbers obtained from moments of Bessel functions:
Richard Crandall
I commend this puzzle to Richard’s many colleagues, noting that “hand-to-hand combat with thousand-digit integrals” may be insufficient to solve it, without using brain as well as brawn. I have prepared a solution, together with a heuristic analysis that I think Richard would have liked. This will be released at the end of the year. Until then, happy puzzling.
Here is the mathematical description of the
Continue reading A prime puzzle in honor of Richard Crandall
For those readers anxiously awaiting the publication of The Princeton Companion to Applied Mathematics, the day has come. The book can be purchased either from Princeton University Press or Amazon.com. It is a companion to the prize-winning volume Princeton Companion to Mathematics, edited by Timothy Gowers, June Barrow-Green and Imre Leader, which was reviewed by one of us for Siam Review, November 2009.
This book is decidedly not an easy read for a weekend at the cabin. For one thing, at 994 pages and 2.3 kg (5.0 pounds), it is a hefty volume to carry around. It also is not
Continue reading The Princeton Companion to Applied Mathematics is out at last
Introduction
As we noted in previous Math Drudge blogs (#1 and #2), and in Huffington Post articles (#1 and #2), the world faces a grim future if we do not immediately rein in consumption of fossil fuels. Risks include rising sea levels, more frequent extreme temperatures, flooding, drought and conflicts among human societies. An eventual sea level rise of 6 meters now seems pretty much assured. Additionally, July 2015 is now officially the hottest single month in recorded history.
In spite of these truly sobering developments, some are seeing rays of hope. Prices of solar photovoltaic panels have dropped considerably.
Continue reading Cold fusion heats up: Fusion energy and LENR update
Introduction
It is widely believed that modern society is in sharp decline. Crime, especially, is widely considered to be steadily soaring out of control. American politicians frequently join the fray, using the crime issue to assert various political points. For example,
Democratic front-runner Hillary Clinton is an advocate of the death penalty, but hopes to address an “unacceptable” increase in incarceration. In 2007, Republican Jeb Bush declared, “The simple fact is we are not safe. Not in our homes. Not anywhere.” More recently, according to the New York Times, he supports reforming the criminal justice system, fearing that incarceration can
Continue reading Is US crime soaring? Do gun controls encourage crime? The science of crime statistics
The New York Times has published a feature article on mathematician Terence Tao of UCLA, regarded by some as the most brilliant mathematician alive.
Terence Tao was born in Adelaide, Australia, the son of Chinese immigrants. His intelligence and mathematical precocity were evident at a very young age. He taught himself to read at age 2. At the age of 7, the local newspaper showed a photo of him in an 11th grade mathematics class, kneeling on his chair should that he could reach his desk. A few months later, he was promoted to 12th grade. At the age of
Continue reading New York Times features mathematician Terence Tao
Introduction
If extraterrestrial astronomers or space travelers were to zoom a telescope to view present-day planet Earth, he/she/they might wonder at the strange appendages that many humans seems to have attached to their hands and ears… Yes, iPhones, Androids and now even smart watches have taken society by storm, for better or worse. Ditto for driverless cars, smart homes, Facebook, Snapchat, online banking, streaming movies, international video calling and a host of other modern conveniences and tools.
All of these wonders are made possible by “Moore’s Law,” that unwritten “law” that semiconductor technology advances roughly by a factor of two
Continue reading Moore’s Law is 50 years old: Will it continue?
Introduction
Why is it so hard to find ET? After 50 years of searching, the SETI project has so far found nothing. In the latest development, on April 14, 2015 Penn State researchers announced that after searching through satellite data on 100,000 galaxies, they saw no evidence, such as infrared signatures, indicative of advanced technological civilizations. Such civilizations might exist, but there was certainly no clear-cut evidence in their data.
In our Part I article, we mentioned how numerous scientists over the past 65 years, since Fermi first raised the question “Where is everybody?,” have examined Fermi’s paradox and have
Continue reading Desperately seeking ET: Fermi’s paradox turns 65 (Part II)
Introduction
Gravitational lensing revealing multiple copies of the same supernova
Sixty five years ago, in 1950, while having lunch with colleagues Edward Teller and Herbert York, who were chatting about a recent cartoon in the New Yorker depicting aliens abducting trash cans in flying saucers, Nobel physicist Enrico Fermi suddenly blurted out, “Where is everybody?” His question is now known as Fermi’s paradox.
Fermi’s line of reasoning was the following: (a) Most likely there are numerous (maybe millions) of other technological civilizations in the Milky Way galaxy alone; (b) if a society is less advanced than us
Continue reading Where is ET? Fermi’s paradox turns 65
|
|