Lifeboat Foundation

Game theory is a branch of mathematics that looks at how groups solve complex problems. The Schrödinger equation is the foundational equation of quantum mechanics — the area of physics focused on the smallest particles in the Universe. There’s no reason to expect one to have anything to do with the other.

But according to a team of French physicists, it’s possible to translate a huge number of problems in game theory into the language of quantum mechanics. In a new paper, they show that electrons and fish follow the exact same mathematics.

Schrödinger is famous in popular culture for his weird cat, but he’s famous to physicists for being the first to write down an equation that fully describes the weird things that happen when you try to do experiments on the fundamental constituents of matter. He realised that you can’t describe electrons or atoms or any of the other smallest pieces of the Universe as billiard balls that will be exactly where you expect them to be exactly when you expect them to be there.

Continue reading “Quantum physics has just been found hiding in one of the most important mathematical models of all time” »

A lot of transhumanism friends have asked me to write about Bernie Sanders, so here are my thoughts:

The transhumanism movement has been dramatically growing in size—and most of that growth is from millennials and youth joining. Transhumanists want to use science and technology to radically improve the human race, and the onslaught of new gear and gadgets to do that—like virtual reality, robots, and chip implants —are giving them plenty of ammunition to do that.

Continue reading “The Bernie Sanders Phenomenon and Transhumanism” »

Like a mirror image of Bedford’s Law, mathematicians have found a pattern in prime numbers that raises more questions than it answers.

Stephen Wolfram, the inventor of the mathematical programming system Wolfram Language, thinks there might be intelligent life, of a sort, in the digits of pi. He spoke recently at the SETI Institute about what his “principle of computational equivalence” means for non-human intelligence — check out the heady hour-and-a-half lecture below.

The key thread running through his concept is that simple rules underpin complex behavior. For Wolfram, the pigmentation patterns on a mollusk shell, for example, aren’t necessarily the outcome of deliberate evolutionary forces. “I think the mollusk is going out into the computational universe, finding a random program, and running it and printing it on its shell,” Wolfram says in the lecture. “If I’m right, the universe is just like an elaborate version of the digits of pi.” (There is some debate, of course, over just how right Wolfram is — though you won’t really get that from the lecture.)

Continue reading “Stephen Wolfram: Could There Be Alien Intelligence Among the Digits of Pi?” »

Mathematicians have discovered a surprising pattern in the expression of prime numbers, revealing a previously unknown “bias” to researchers.

Primes, as you’ll hopefully remember from fourth-grade math class, are numbers that can only be divided by one or themselves (e.g. 2, 3, 5, 7, 11, 13, 17, etc.). Their appearance in the roll call of all integers cannot be predicted, and no magical formula exists to know when a prime number will choose to suddenly make an appearance. It’s an open question as to whether or not a pattern even exists, or whether or not mathematicians will ever crack the code of primes, but most mathematicians agree that there’s a certain randomness to the distribution of prime numbers that appear back-to-back.

Or at least that’s what they thought. Recently, a pair of mathematicians decided to test this “randomness” assumption, and to their shock, they discovered that it doesn’t actually exist. As reported in New Scientist, researchers Kannan Soundararajan and Robert Lemke Oliver of Stanford University in California have detected unexpected biases in the distribution of consecutive primes.

Continue reading “Mathematicians Discovered Something Super Freaky About Prime Numbers” »

On January 20th, 2016, researchers Konstantin Batygin and Michael E. Brown of Caltech announced that they had found evidence that hinted at the existence of a massive planet at the edge of the Solar System. Based on mathematical modeling and computer simulations, they predicted that this planet would be a super-Earth, two to four times Earth’s size and 10 times as massive. They also estimated that, given its distance and highly elliptical orbit, it would take 10,000 – 20,000 years to orbit the Sun.

Since that time, many researchers have responded with their own studies about the possible existence of this mysterious “Planet 9”. One of the latest comes from the University of Arizona, where a research team from the Lunar and Planetary Laboratory have indicated that the extreme eccentricity of distant Kuiper Belt Objects (KBOs) might indicate that they crossed paths with a massive planet in the past.

Canadian scientists have apparently opened the door to the world of biological supercomputers: this week they unveiled a prototype of a potentially revolutionary unit — as small as a book, energy-efficient with extreme mathematical capabilities and which, importantly, does not overheat.

Astronomers at the University of Auckland claim that there are actually around 100 billion habitable, Earth-like planets in the Milky Way — significantly more than the previous estimate of around 17 billion. There are roughly 500 billion galaxies in the universe, meaning there is somewhere in the region of 50,000,000,000,000,000,000,000 (5×10 ²² ) habitable planets. I’ll leave you to do the math on whether one of those 50 sextillion planets has the right conditions for nurturing alien life or not.

The previous figure of 17 billion Earth-like planets in the Milky Way came from the Harvard-Smithsonian Center for Astrophysics in January, which analyzed data from the Kepler space observatory. Kepler essentially measures the dimming (apparent magnitude) of stars as planets transit in front of them — the more a star dims, the larger the planet. Through repeated observations we can work out the planet’s orbital period, from which we can usually derive the orbital distance and surface temperature. According to Phil Yock from the University of Auckland, Kepler’s technique generally finds “Earth-sized planets that are quite close to parent stars,” and are therefore “generally hotter than Earth [and not habitable].”

The University of Auckland’s technique, called gravitational microlensing, instead measures the number of Earth-size planets that orbit at twice the Sun-Earth distance. This results in a list of planets that are generally cooler than Earth — but by interpolating between this new list, and Kepler’s list, the Kiwi astronomers hope to generate a more accurate list of habitable, Earth-like planets. “We anticipate a number in the order of 100 billion,” says Yock.

Continue reading “Astronomers estimate 100 billion habitable Earth-like planets in the Milky Way, 50 sextillion in the universe” »