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Can a demon defeat the 2nd Law of Thermodynamics?

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Previous Episode:
The Misunderstood Nature of Entropy
https://www.youtube.com/watch?v=kfffy12uQ7g

Entropy is sometimes described as a measure of disorder or randomness. The second law of thermodynamics – the law that entropy must, on average, increase – has been interpreted as the inevitability of the decay of structure. This is … misleading. As we saw in our episode on the physics of life, structure can develop in one region even as the entropy of the universe rises. Ultimately, entropy is a measure of the availability of free energy – of energy that isn’t hopelessly mixed in thermal equilibrium. Pump energy into a small system and complexity can thrive..

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Entropy and the second law of thermodynamics has been credited with defining the arrow of time.

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Previous Episode:
Quantum Invariance & The Origin of The Standard Model
https://www.youtube.com/watch?v=V5kgruUjVBs

Entropy is surely one of the most intriguing and misunderstood concepts in all of physics. The entropy of the universe must always increase – so says the second law of thermodynamics. It’s a law that seems emergent from deeper laws – it’s statistical in nature – and yet may ultimately be more fundamental and unavoidable than any other law of physics.

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In simple terms a gauge theory is one that has mathematical parameters, or “degrees of freedom” that can be changed without affecting the predictions of the theory.

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Previous Episode:
Will A New Neutrino Change The Standard Model?
https://www.youtube.com/watch?v=0mXW1zPlxEE&t

As far as we can tell, mathematics is the language in which the universe is written. Our laws of physics are equations of motion, along with some associated constants. Previously we’ve talked a bit about the symmetries of these equations, and how they lead us to conserved quantities. But this is just the tip of the theoretical iceberg – sometimes investigating the symmetries of these equations predicts entirely new physics. The most remarkable example of this is the standard model of particle physics. You know, the most accurate physical theory in all of human history.

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Since the discovery of the Higgs boson, physicists have searched and searched for any hint of new particles. That search has been fruitless. Until, perhaps, now. Today on Space Time Journal Club we’ll look at a paper that reports a compelling hint of a new particle outside the standard model: the sterile neutrino.

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Previous Episode:
How Asteroid Mining Will Save Earth
https://www.youtube.com/watch?v=TF6GRPaeLbk

Regular neutrinos are a bit aloof. They don’t interact by the electromagnetic or strong nuclear forces – only by the weak nuclear force and gravity. They are so weakly interacting that they pass through matter like it isn’t there. To have a 50-50 chance of stopping any given neutrino you’d need a wall of lead … one light year thick! If regular neutrinos are aloof, then sterile neutrinos are the complete loners. They don’t even interact via the weak interaction. Even so, detection of sterile neutrinos would be incredibly important. Besides being the first expansion of the standard model family since the Higgs boson, sterile neutrinos are a candidate for dark matter, and their existence would have had a huge influence on the expansion of the early universe.

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The days of oil may be numbered, but there’s another natural resource that’s never been touched, Asteroids.

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Previous Episode:
The Black Hole Information Paradox
https://www.youtube.com/watch?v=9XkHBmE-N34

The richest person in modern history, was John Davison Rockefeller, His net worth was three times greater than that of our richest tech billionaires, inflation adjusted. And the source of that fortune? Timely exploitation of a vast, then-untapped natural resource: oil. Well, the days of oil may be numbered, but there’s another natural resource that’s never been touched, is effectively inexhaustible, and has a dollar value large enough to disrupt entire economies. That resource? Asteroids, and the precious materials they contain. Astrophysicist Neil deGrasse Tyson predicts that the world’s first trillionaire will be an asteroid miner. The Rockefellers of the 21st century may be less like the internet and tech moguls of the 20th century and more like the old-school oil barons of the 19th century.

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We’ve established by now that black holes are weird. The result of absolute gravitational collapse of a massive body: a point of hypothetical infinite density surrounded by an event horizon. At that horizon time is frozen and the fabric of space itself cascades inwards at the speed of light. Nothing can travel faster than light, and so nothing can escape from below the event horizon- not matter, not light, not even information.

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Previous Episode:
Why Quantum Information is Never Destroyed
https://youtu.be/HF-9Dy6iB_4

These ideas are pretty mind-blowing, but as crazy as black holes are, they’re also kind of … simple. Don’t get me wrong; the math is complicated. But the objects themselves are simple. In fact every black hole in the universe, no matter how it formed or what happened to it afterwards, can be perfectly described with only three properties. Those properties are mass, angular momentum, and electric charge. Or at least this is the proposition behind the famous no-hair conjecture, or no-hair theorem.

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We’ve established by now that black holes are weird. The result of absolute gravitational collapse of a massive body: a point of hypothetical infinite density surrounded by an event horizon. At that horizon time is frozen and the fabric of space itself cascades inwards at the speed of light. Nothing can travel faster than light, and so nothing can escape from below the event horizon- not matter, not light, not even information.

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Previous Episode:
Why Quantum Information is Never Destroyed
https://youtu.be/HF-9Dy6iB_4

These ideas are pretty mind-blowing, but as crazy as black holes are, they’re also kind of … simple. Don’t get me wrong; the math is complicated. But the objects themselves are simple. In fact every black hole in the universe, no matter how it formed or what happened to it afterwards, can be perfectly described with only three properties. Those properties are mass, angular momentum, and electric charge. Or at least this is the proposition behind the famous no-hair conjecture, or no-hair theorem.

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If you have perfect knowledge of every single particle in the universe, can you use the laws of physics to rewind all the way back to the Big Bang? Is the entire history of the universe perfectly knowable? Or has information somehow lost along the way?

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Previous Episode:
Noether’s Theorem and The Symmetries of Reality
https://www.youtube.com/watch?v=04ERSb06dOg&t=2s

The laws of physics are equations of motion. They are mathematical rules that dictate how systems evolve in time. Newton’s equations for classical mechanics, Maxwell’s equations for electromagnetism, and the Schrodinger equation for quantum mechanics. These laws can be used to predict how the universe will evolve into the future. They are deterministic; perfect knowledge of a system in the present perfectly predicts how the system will change in the next instant, and the instant after that, ad infinitum. But determinism in the forward-time direction does NOT guarantee that the same laws can perfectly predict the past. And yet this sort of deterministic symmetry – time-reversal symmetry – is essential for information itself to be conserved. Today we learn why conservation of information is such a fundamental requirement of quantum mechanics. In a future episode we’ll see how this law might be broken by black holes.

Here’s that fun proof that independent quantum states can’t evolve into the same quantum state while preserving unitarity! Apologies for the unavoidable technical notation, but a quick college course in introductory quantum mechanics will get you up to speed in no time 😛

http://bit.ly/2Lpm6sL

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Conservation laws are among the most important tools in physics. They feel as fundamental as you can get. And yet they’re wrong – or at least they’re only right sometimes. These laws are consequences of a much deeper, more fundamental principle: Noether’s theorem.

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Previous Episode:
How Gaia Changed Astronomy Forever
https://www.youtube.com/watch?v=Jdy09…

Conservation laws are the cheat codes of physics. They make it possible to solve physics problems that would otherwise be painfully difficult, or even impossible. More than cheat codes – conservation laws are close to the source code – they emerge from profound and simple truths about the basis of reality. They emerge from the fundamental symmetries of nature. The connection between conservation laws and symmetry is encapsulated in Noether’s theorem. But before we dive into this extremely elegant idea, let’s talk about the seeming paradox that inspired it, and the genius who discovered it.

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The great advances in any science tend to come in sudden leaps. April 25th of 2018 marks the beginning of just such a leap for much of astronomy. In the early hours of the morning, the Gaia mission’s second data release dropped. Our understanding of our own galaxy will never be the same again.

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Previous Episode:
The Star at the End of Time
https://www.youtube.com/watch?v=-iWGtQ03OZM

The Gaia satellite was launched in late 2013, entirely built and operated by the European Space Agency. It’s primary goal is to map the stars of the Milky Way with a scale and precision orders of magnitude greater than ever before. Gaia’s predecessor, Hipparcos, catalogued 120 thousand stars, Gaia blows it out of the water with positions, colors and brightnesses of nearly 1.7 billion stars. Gaia can see orders of magnitude fainter and further away than previous missions. But its greatest superpower is its precise astrometry – Gaia can pin down a star’s position to the equivalent of a human hair’s width at 1000 km. That’s one-to-two thousand times smaller than the resolution of the Hubble Space Telescope.

Hosted by Matt O’Dowd
Written by Drew Rosen and Matt O’Dowd
Graphics by Grayson Blackmon
Assistant Editing and Sound Design by Mike Petrow and Linda Huang
Made by Kornhaber Brown (www.kornhaberbrown.com)

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