From a bee’s hexagonal honeycomb to the elliptical paths of planets, symmetry has long been recognized as a vital quality of nature. Einstein saw symmetry hidden in the fabric of space and time. The brilliant Emmy Noether proved that symmetry is the mathematical flower of deeply rooted physical law. And today’s theorists are pursuing an even more exotic symmetry that, mathematically speaking, could be nature’s final fundamental symmetry: supersymmetry.

Infinite Worlds A Journey through Parallel Universes

The multiverse hypothesis, suggesting that our universe is but one of perhaps infinitely many, speaks to the very nature of reality. Join physicist Brian Greene, cosmologists Alan Guth and Andrei Linde, and philosopher Nick Bostrom as they discuss and debate this controversial implication of forefront research and explore its potential for redefining the cosmic order. Moderated by Robert Krulwich and featuring an original musical interlude, inspired by parallel worlds, by DJ Spooky.

2015 • Astronomy

Quantum Reality: Space, Time, and Entanglement

Ninety years after the historic double-slit experiment, the quantum revolution shows no sign of slowing. Join a vibrant conversation with renowned leaders in theoretical physics, quantum computation, and philosophical foundations, focused on how quantum physics continues to impact understanding on issues profound and practical, from the edge of black holes and the fibers of spacetime to teleportation and the future of computers.

A Thin Sheet of Reality the Universe as a Hologram

What we touch. What we smell. What we feel. They’re all part of our reality. But what if life as we know it reflects only one side of the full story? Some of the world’s leading physicists think that this may be the case. They believe that our reality is a projection—sort of like a hologram—of laws and processes that exist on a thin surface surrounding us at the edge of the universe.

2014 • Physics

Beyond Beauty the Predictive Power of Symmetry

From a bee’s hexagonal honeycomb to the elliptical paths of planets, symmetry has long been recognized as a vital quality of nature. Einstein saw symmetry hidden in the fabric of space and time. The brilliant Emmy Noether proved that symmetry is the mathematical flower of deeply rooted physical law. And today’s theorists are pursuing an even more exotic symmetry that, mathematically speaking, could be nature’s final fundamental symmetry: supersymmetry.

2016 • Math

Engineering the Brain Deploying a New Neural Toolkit

A new generation of technology is revolutionizing neuroscience, allowing a closer study of the brain than had ever seemed possible. The techniques are hybrids of optics, genetics, and synthetic biology with the ability to manipulate brain activity, often in real time. Through direct stimulation of neural connections, some of these techniques hold the promise for the treatment of diseases like depression or schizophrenia.

2019 • Brain

Gravitational Waves: A New Era of Astronomy Begins

On September 14th, 2015, a ripple in the fabric of space, created by the violent collision of two distant black holes over a billion years ago, washed across the Earth. As it did, two laser-based detectors, 50 years in the making – one in Louisiana and the other in Washington State – momentarily twitched, confirming a century-old prediction by Albert Einstein and marking the opening of a new era in astronomy. Join some of the very scientists responsible for this most anticipated discovery of our age and see how gravitational waves will be used to explore the universe like never before.

2016 • Astronomy

Hidden Dimensions Exploring Hyperspace

Extra dimensions of space — the idea that we are immersed in hyperspace — may be key to explaining the fundamental nature of the universe. Relativity introduced time as the fourth dimension, and Einstein’s subsequent work envisioned more dimensions still — but ultimately hit a dead end. Modern research has advanced the subject in ways he couldn’t have imagined. John Hockenberry joins Brian Greene, Lawrence Krauss, and other leading thinkers on a visual tour through wondrous spatial realms that may lie beyond the ones we experience.

2015 • Physics

Neutrinos Matter and Antimatter the Yin Yang of the Big Bang

What happened to all of the universe's antimatter? Can a particle be its own anti-particle? And how do you build an experiment to find out? In this program, particle physicists reveal their hunt for a neutrino event so rare, it happens to a single atom at most once every 10,000,000,000,000,000,000,000,000 years: far longer than the current age of the universe. If they find it, it could explain no less than the existence of our matter-filled universe.

2019 • Physics

How Music Affects Your Brain Notes on the Folds

Scientists are now finally discovering what thinkers, musicians, or even any of us with a Spotify account and a set of headphones could have told you on instinct: music lights up multiple corners of the brain, strengthening our neural networks, firing up memory and emotion, and showing us what it means to be human. In fact, music is as essential to being human as language and may even predate it. Can music also repair broken networks, restore memory, and strengthen the brain?

2019 • Music

Measure for Measure Quantum Physics and Reality

When no one is looking, a particle has near limitless potential: it can be nearly anywhere. But measure it, and the particle snaps to one position. How do subatomic objects shed their quantum weirdness? Experts in the field of physics, including David Z. Albert, Sean Carroll, Sheldon Goldstein, Ruediger Schack, and moderator Brian Greene, discuss the history of quantum mechanics, current theories in the field, and possibilities for the future.

2014 • Physics

The Illusion of Certainty: Risk, Probability, and Chance

Stuff happens. The weather forecast says it’s sunny, but you just got drenched. You got a flu shot—but you’re sick in bed with the flu. Your best friend from Boston met your other best friend from San Francisco. Coincidentally. What are the odds? Risk, probability, chance, coincidence—they play a significant role in the way we make decisions about health, education, relationships, and money. But where does this data come from and what does it really mean?

2015 • Math

The Matter of Antimatter Answering the Cosmic Riddle of Existence

You exist. You shouldn’t. Stars and galaxies and planets exist. They shouldn’t. The nascent universe contained equal parts matter and antimatter that should have instantly obliterated each other, turning the Big Bang into the Big Fizzle. And yet, here we are: flesh, blood, stars, moons, sky. Why? Come join us as we dive deep down the rabbit hole of solving the mystery of the missing antimatter.

2018 • Physics

How many ways can you arrange a deck of cards?

One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards.

The Secret Life of Chaos

Professor Jim Al-Khalili shows how chaos theory can answer a question that mankind has asked for millennia - how does a universe that starts off as dust end up with intelligent life? It's a mindbending, counterintuitive and for many people a troubling idea.

How to Make Better Decisions

We are bad at making decisions. According to science, our decisions are based on oversimplification, laziness and prejudice. And that's assuming that we haven't already been hijacked by our surroundings or led astray by our subconscious! Featuring exclusive footage of experiments that show how our choices can be confounded by temperature, warped by post-rationalisation and even manipulated by the future, Horizon presents a guide to better decision making, and introduces you to Mathematician Garth Sundem, who is convinced that conclusions can best be reached using simple maths and a pencil!

The Map of Mathematics

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

2017 • Math

The Frontiers of Space

By the 17th century, Europe had taken over from the Middle East as the powerhouse of mathematical ideas. Great strides had been made in understanding the geometry of objects fixed in time and space. The race was on to discover the mathematics to describe objects in motion. This programme explores the work of Rene Descartes, Pierre Fermat, Isaac Newton, Leonard Euler and Carl Friedrich Gauss.

**3/4** •
The Story of Maths •
Math

Prediction by the Numbers

Predictions underlie nearly every aspect of our lives, from sports, politics, and medical decisions to the morning commute. With the explosion of digital technology, the internet, and “big data,” the science of forecasting is flourishing. But why do some predictions succeed spectacularly while others fail abysmally? And how can we find meaningful patterns amidst chaos and uncertainty? From the glitz of casinos and TV game shows to the life-and-death stakes of storm forecasts and the flaws of opinion polls that can swing an election, “Prediction by the Numbers” explores stories of statistics in action. Yet advances in machine learning and big data models that increasingly rule our lives are also posing big, disturbing questions. How much should we trust predictions made by algorithms when we don’t understand how they arrive at them? And how far ahead can we really forecast?