These are just notes: not a lesson plan!
Conway’s game of life
BOIDS: Birds flocking
Classical physics is an emergent property of quantum mechanics
Big step for quantum teleportation won’t bring us any closer to Star Trek. Here’s why
By Adrian Cho, Sep. 19, 2016 , Science (AAAS)
Two teams have set new distance records for quantum teleportation: using the weirdness of quantum mechanics to instantly transfer the condition or “state” of one quantum particle to another one in a different location. One group used the trick to send the state of a quantum particle of light, or photon, 6.2 kilometers across Calgary, Canada, using an optical fiber, while the other teleported the states of photons over 14.7 kilometers across Shanghai, China.
Both advances, reported today in Nature Photonics, could eventually lead to an unhackable quantum internet. But what else is quantum teleportation good for? And will we ever be able to use it to zip painlessly to work on a frigid January morning?
When will this stuff enable us to travel by teleportation?
Sorry to disappoint, but the answer is never. In spite of its name, quantum teleportation has nothing to do with the type of teleportation depicted in the television show Star Trek and other science fiction stories. Such teleportation generally involves disintegrating a material object, somehow beaming the contents through space, and instantly and perfectly reassembling the object in some distant location. In quantum teleportation, nothing is disintegrated and reassembled and no matter travels anywhere. What’s more, the process works only at the level of individual quantum particles: photons, electrons, atoms, etc. Long and short, quantum teleportation and “real” teleportation have nothing in common but the name.
But if quantum teleportation doesn’t move things, then what does it do?
Compared with sending an away team to a planet’s surface, quantum teleportation aims to do something both much less ambitious and much more subtle. Quantum teleportation instantly transfers the condition or “state” of one quantum particle to another distant one without sending the particle itself. It’s a bit like transferring the reading on one clock to a distant one.
What’s so impressive about reading one clock and setting a second the same way?
The quantum state of a particle like a photon is more complex and far more delicate than the reading of a clock. Whereas you can simply read the clock and then set the other clock to the same time, you generally cannot measure the state of a quantum particle without changing it. And you cannot simply “clone” the state of one quantum particle onto another. The rules of quantum mechanics don’t allow it. Instead, what you need to do is find a way to transfer the state of one quantum particle to another without ever actually measuring that state. To continue with the clock analogy, it’s as if you’re transferring the setting of one clock to another without ever looking at the first clock.
How could that possibly work?
It’s a bit complicated. To get a feel for it you need to know something about quantum states. Consider a single photon. A photon is a fundamental bit of an electromagnetic wave, so it can be “polarized” so that its electric field points vertically or horizontally. Thanks to the weirdness of quantum mechanics, the photon can also be in both states at once—so the photon can literally be polarized both vertically and horizontally at the same time. The amounts of vertical and horizontal help define the state of the photon.
But it gets even more complicated than that. In addition to the mixture of vertical and horizontal, the photon’s state is defined by a second parameter, which is a kind of angle called the “phase.” So the actual state of the photon consists of both the mixture of vertical and horizontal and the phase. It can be visualized with the help of an abstract sphere or globe, on which the north pole stands for the pure vertical state and the south pole stand for the horizontal late state.
The precise state of the photon is then a point on the globe, with the latitude giving the balance of vertical and horizontal in the state and the longitude giving the phase. Thus, for example, every point on the equator stands for a state in which the photon is in an equal mixture of vertical and horizontal, but in which the phase, which can be probed in certain more complicated measurements, is different.
So why can’t you just read the point off the globe?
You can’t because measurements of quantum particles provide only limited information. Given a photon in some unknown state, you cannot ask what the “coordinates” of the state on the globe are. Instead, you must perform an either/or measurement. The most simple would be: Is the photon polarized vertically or horizontally? That measurement will give one result or the other with probabilities that depend on the exact mixture of vertical and horizontal in the state. But it won’t tell you the phase. And it will “collapse” the original state, so that the photon is left pointing at one pole or the other, in a state that is either purely vertical or horizontal. That disturbance of the original state is unavoidable in quantum theory.
A photon’s state is described by a point on a “Bloch sphere.” The point’s latitude (angle θ) determines the mixture of horizontal and vertical polarization. The longitude (angle φ) has no classical analog but leads to many weird quantum effects.
A photon’s state is described by a point on a “Bloch sphere.” The point’s latitude (angle θ) determines the mixture of horizontal and vertical polarization. The longitude (angle φ) has no classical analog but leads to many weird quantum effects.
But if you can’t measure the exact state of the photon, how do you transfer it?
You need more photons and another weird bit of quantum mechanics. Two photons can be linked through a subtle connection called “entanglement.” When two photons are entangled, the state of each photon is completely uncertain but the two states are correlated. So, on our abstract globe, the position of each photon remains completely undetermined—it is literally pointing in every direction at once. But, in spite of that uncertainty, the states of the two photons can be correlated so that they are guaranteed to be, say, identical. That is, if you did a fancy measurement that collapsed one photon in the direction on our globe of 40º north, 80º west, you would know the second one would instantly collapse into the same state, no matter how far away it is. Such pairs are crucial to quantum teleportation.
Here’s how it works. Suppose you have two people, Alice and Bob, with a third, Charlie, in the middle. Alice prepares a photon that she wants to teleport—that is, she sets its position on the abstract globe. She sends it down an optical fiber to Charlie. At the same time, Charlie prepares a pair of entangled photons. He keeps one and sends the second one on to Bob.
Now, here’s the tricky part. When Charlie receives Alice’s photon he can take it and the one he’s kept and do a particular type of “joint” measurement on them both. Because quantum measurements collapse the states of photons, Charlie’s measurement actually forces those two photons into an entangled state. (Charlie’s measurement actually asks the either/or question: Are the photons in one particular entangled state or a complementary one?)
But as soon as Charlie does the entangling measurement on the two photons he has—the one he got from Alice and the one he kept from the original entangled pair—a striking thing happens. The photon he sent to Bob instantly collapses into the state of Alice’s original photon. That is, the globe setting of Alice’s photon has been teleported to Bob’s even if Bob is kilometers away from Charlie—as he was in these two experiments.
But why does that happen?
The experiment depends crucially on the correlations inherent in entanglement. Beyond that, to see why the state of Alice’s photon ends up transferred to Bob’s, you pretty much have to go back and work through the math. Once you get used to the notation, anybody who has taken high school algebra can do the calculation. That is one of the things algebra is good for.
Is this what the physicists actually did?
Close. The only difference is that they used two slightly different arrival times for the basic states of the photons, not different polarizations. The hard part in the experiments was guaranteeing that the two photons sent to Bob arrived at the same general time and were identical in color and polarization. If they were distinguishable, then the experiment wouldn’t work. Those were the technical challenges to teleportation over such long distances.
So what is this possibly good for?
Even though it’s abstract, quantum teleportation could be used to make a quantum internet. This would be like today’s internet, but would enable users to transfer quantum states and the information they contain instead of classical information, which is essentially strings of 0s and 1s.
Currently, physicists and engineers have built partially quantum networks in which secure messages can be sent over optical fibers. Those technologies work by using single photons to distribute the numerical keys for locking and unlocking coded messages. They take advantage of the fact that an eavesdropper could not measure those photons without disturbing them and revealing his presence. But right now, those networks aren’t fully quantum mechanical in that the message needs to be decoded and encoded at every node in the network, making the nodes susceptible to hacking.
With quantum teleportation, physicists and engineers might be able to establish an entanglement connection between distant nodes on a network. In principle, this would enable users at those nodes to pass encoded messages that could not be decoded at intermediary nodes and would be essentially unhackable. And if physicists ever succeed in building a general-purpose quantum computer—which would use “qubits” that can be set to 0, 1, or both 0 and 1 to do certain calculations that overwhelm a conventional computer—then such a quantum network might enable users to load in the computer’s initial settings from remote terminals.
When is that going to happen?
Who knows? But a quantum internet seems likely to show up a lot earlier than a general-purpose quantum computer.
Huh. Cool! But no beaming to work during the winter?
Sorry, you’ll still have to bundle up and face the cold.
– This graphic illustrates how Cassini scientists think water interacts with rock at the bottom of the ocean of Saturn’s icy moon Enceladus, producing hydrogen gas. Credit: NASA/JPL-Caltech
Two veteran NASA missions are providing new details about icy, ocean-bearing moons of Jupiter and Saturn, further heightening the scientific interest of these and other “ocean worlds” in our solar system and beyond. The findings are presented in papers published Thursday by researchers with NASA’s Cassini mission to Saturn and Hubble Space Telescope.
In the papers, Cassini scientists announce that a form of chemical energy that life can feed on appears to exist on Saturn’s moon Enceladus, and Hubble researchers report additional evidence of plumes erupting from Jupiter’s moon Europa.
“This is the closest we’ve come, so far, to identifying a place with some of the ingredients needed for a habitable environment,” said Thomas Zurbuchen, associate administrator for NASA’s Science Mission Directorate at Headquarters in Washington. ”These results demonstrate the interconnected nature of NASA’s science missions that are getting us closer to answering whether we are indeed alone or not.”
The paper from researchers with the Cassini mission, published in the journal Science, indicates hydrogen gas, which could potentially provide a chemical energy source for life, is pouring into the subsurface ocean of Enceladus from hydrothermal activity on the seafloor.
The presence of ample hydrogen in the moon’s ocean means that microbes – if any exist there – could use it to obtain energy by combining the hydrogen with carbon dioxide dissolved in the water. This chemical reaction, known as “methanogenesis” because it produces methane as a byproduct, is at the root of the tree of life on Earth, and could even have been critical to the origin of life on our planet.
Life as we know it requires three primary ingredients: liquid water; a source of energy for metabolism; and the right chemical ingredients, primarily carbon, hydrogen, nitrogen, oxygen, phosphorus and sulfur.
With this finding, Cassini has shown that Enceladus – a small, icy moon a billion miles farther from the sun than Earth – has nearly all of these ingredients for habitability. Cassini has not yet shown phosphorus and sulfur are present in the ocean, but scientists suspect them to be, since the rocky core of Enceladus is thought to be chemically similar to meteorites that contain the two elements.
“Confirmation that the chemical energy for life exists within the ocean of a small moon of Saturn is an important milestone in our search for habitable worlds beyond Earth,” said Linda Spilker, Cassini project scientist at NASA’s Jet Propulsion Laboratory in Pasadena, California.
The Cassini spacecraft detected the hydrogen in the plume of gas and icy material spraying from Enceladus during its last, and deepest, dive through the plume on Oct. 28, 2015. Cassini also sampled the plume’s composition during flybys earlier in the mission. From these observations scientists have determined that nearly 98 percent of the gas in the plume is water, about 1 percent is hydrogen and the rest is a mixture of other molecules including carbon dioxide, methane and ammonia.
The measurement was made using Cassini’s Ion and Neutral Mass Spectrometer (INMS) instrument, which sniffs gases to determine their composition. INMS was designed to sample the upper atmosphere of Saturn’s moon Titan. After Cassini’s surprising discovery of a towering plume of icy spray in 2005, emanating from hot cracks near the south pole, scientists turned its detectors toward the small moon.
Cassini wasn’t designed to detect signs of life in the Enceladus plume – indeed, scientists didn’t know the plume existed until after the spacecraft arrived at Saturn.
“Although we can’t detect life, we’ve found that there’s a food source there for it. It would be like a candy store for microbes,” said Hunter Waite, lead author of the Cassini study.
The new findings are an independent line of evidence that hydrothermal activity is taking place in the Enceladus ocean. Previous results, published in March 2015, suggested hot water is interacting with rock beneath the sea; the new findings support that conclusion and add that the rock appears to be reacting chemically to produce the hydrogen.
Octopuses Do Something Really Strange to Their Genes
Ed Yong, April 2017, The Atlantic
Octopuses have three hearts, parrot-like beaks, venomous bites, and eight semi-autonomous arms that can taste the world. They squirt ink, contort through the tiniest of spaces, and melt into the world by changing both color and texture. They are incredibly intelligent, capable of wielding tools, solving problems, and sabotaging equipment. As Sy Montgomery once wrote, “no sci-fi alien is so startlingly strange” as an octopus. But their disarming otherness doesn’t end with their bodies. Their genes are also really weird.
It certainly seems that way. Rosenthal and Eisenberg found that RNA editing is especially rife in the neurons of cephalopods. They use it to re-code genes that are important for their nervous systems—the genes that, as Rosenthal says, “make a nerve cell a nerve cell.” And only the intelligent coleoid cephalopods—octopuses, squid, and cuttlefish—do so. The relatively dumber nautiluses do not. “Humans don’t have this. Monkeys don’t. Nothing has this except the coleoids,” says Rosenthal.
It’s impossible to say if their prolific use of RNA editing is responsible for their alien intellect, but “that would definitely be my guess,” says Noa Liscovitch-Brauer, a member of Rosenthal’s team who spearheaded the new study. “It makes for a very compelling hypothesis in my eyes.”
But to what end? RNA editing is still mysterious, and its purpose unclear. Technically, an animal could use it to change the nature of its proteins without altering the underlying DNA instructions. But in practice, this kind of recoding is extremely rare. Only about 3 percent of human genes are ever edited in this way, and the changes are usually restricted to the parts of RNA that are cut out and discarded. To the extent that it happens, it doesn’t seem to be adaptive.
In cephalopods, it’s a different story. Back in 2015, Rosenthal and Eisenberg discovered that RNA editing has gone wild in the longfin inshore squid—a foot-long animal that’s commonly used in neuroscience research. While a typical mammal edits its RNA at just a few hundred sites, the squid was making some 57,000 such edits. These changes weren’t happening in discarded sections of RNA, but in the ones that actually go towards building proteins—the so-called coding regions. They were ten times more common in the squid’s neurons than in its other tissues, and they disproportionately affected proteins involved in its nervous system.
This distinction is crucial. The nautiluses belong to the earliest lineage of cephalopods, which diverged from the others between 350 and 480 million years ago. They’ve stayed much the same ever since. They have simple brains and unremarkable behavior, and they leave their RNA largely unedited. Meanwhile, the other cephalopods—the coleoids—came to use RNA editing extensively, and while evolving complex brains and extraordinary behavior. Coincidence?
Rosenthal thinks that they pay for this sacrifice with a different kind of flexibility. By changing their RNA rather than their DNA, they might be more effective at adapting to challenges on the fly. From the same gene, they could produce proteins that, say, work better in hot temperatures or cold ones. And such changes would be temporary—the creatures could turn them on or off depending on the circumstance. Rosenthal wonders if they could learn or encode experiences in this way. “I’m working a lot on the squid ADAR enzymes and their distribution between cells,” he says. “It’s mind-blowing how variable they are. One neuron will have high levels but its neighbor will have nothing.”
“This study suggests that RNA editing and recoding is important in the function of the largest invertebrate brains,” says Carrie Albertin from the University of Chicago, who helped to sequence the first cephalopod genome. “By comparing vertebrate and cephalopod brains, we can understand how large nervous systems are put together.”
“It’s a really interesting phenomenon, but it’s unclear why they need so much RNA editing,” says Jianzhi Zhang from the University of Michigan. “It’s not absolutely clear if it has to do with behavior; humans have very complex brains and behaviors and in us, RNA editing is very rare.” The question isn’t just why coleoid cephalopods are unique in embracing RNA editing, but why nothing else has to the same extent.
So far, the team has a lot of correlations—compelling ones, but correlations nonetheless. Rosenthal’s next move is to develop ways of genetically manipulating cephalopods. If he succeeds, he could disable their ADAR enzymes, stop them from editing their RNA, and see what happens.
How to program in Scratch, using Boolean logic
- Boolean operators include:
- AND, OR, NOT, < , = , >
- In other words, is one sprite touching some other thing? The answer by definition must be true or false.
- In other words, is one sprite touching something of a certain color? The answer by definition must be true or false.
- In other words, is a certain key being pressed?
- In other words, is the mouse being used?
- Why use Boolean operators?
- To focus a search, particularly when your topic contains multiple search terms.
- To connect various pieces of information to find exactly what you’re looking for.
A Boolean block is a hexagonal block (shaped after the Boolean elements in flowcharts)
The block contains a condition. The answer to the condition will be either true or false.
It’s important to determine if a statement (expression) is “true” or “false”.
Ways to determine TRUE and FALSE are prevalent in all kinds of decision making.
A mathematically precise way of asking if something is TRUE or FALSE is called a Boolean operation.
It is named after George Boole, who first defined an algebraic system of logic in the mid 19th century.
Boolean data is associated with conditional statements. For example, the following statement is really
a set of questions that can be answered as TRUE or FALSE.
IF (I want to go to a movie) AND (I have more than $10) THEN (I can go to the movie)
We can combine several “boolean” statements that have true/false meaning into a single statement
using words like AND and OR, and NOT).
“If I want to go to the movie AND I have enough money, then I will go to the movie.”
BOTH conditions have to evaluate to true (have to be true) before the entire expression is true.
Some terms you already learned in math are really Boolean operators
Less than < [ ] < [ ] > Equal to < [ ] = [ ] > Greater than < [ ] < [ ] >
For example: (The height of a building) < 20 meters
For any building we look at, this statement will either be true or false.
Go through what each Boolean block does (page 68)
Book “Adventures in Coding”, Eva Holland and Chris Minnick, Wiley, 2016. Pages 50-59
Computational Thinking 6-8.CT.c.2 Describe how computers store, manipulate, and transfer data types and files (e.g., integers, real numbers, Boolean Operators) in a binary system.
CSTA K-12 Computer Science Standards
CT.L2-14 Examine connections between elements of mathematics and computer science
including binary numbers, logic, sets and functions.
CPP.L2-05 Implement problem solutions using a programming language, including: looping behavior, conditional statements, logic, expressions, variables, and functions.
You should have each handout, correctly filled out, in order, name on top of each page.
⃞ MCAS formula sheet
⃞ Metric conversions sheet
⃞ Table with Kinematic equations in 3 columns: Constant velocity, Changing Velocity, Circular motion
⃞ Concept Development Practice Page 13-3: Gravitational Interactions
⃞ Why study science historically
⃞ The Physics of Circular Motion and our place in the universe: How science has developed from ancient times to today
⃞ The Physics of Circular Motion and our place in the universe: Solar System: Medieval to modern times
⃞ Concept Development Practice Page 7-1 Momentum (1 sheet double sided)
⃞ Skill Sheet 3-C Momentum (1 sheet double sided)
⃞ Skill Sheet 5-A Work (2 sheets, 3 pages)
⃞ Work – review sheet
⃞ Skill Sheet 5-B Power (1 sheet double sided)
⃞ Cumulative Review worksheet: For each of the situations draw & label the Action and Reaction forces, Net force, and free-body diagrams, Circular motion, and friction
⃞ “The Nature of Science” – In which you had to choose 1 of 4 topics to write about.
⃞ Concept Development Practice Page 8-1; Work and Energy (1 sheet double sided)
⃞ Concept Development Practice Page 8-2 Conservation of Energy (1 sheet double sided)
⃞ 10.2 Temperature scales (2 pages, double sided)
⃞ Specific Heat (1 page double sided)
⃞ Skill Sheet 13.1 Harmonic Motion (3 sheets, 5 pages)
⃞ Concept Development Practice Page 25-3: Wave Superposition. (1 page, double sided)
⃞ Concept Development Practice Page 28-1 Colored shadows (1 page double sided)
⃞ 25.2 Color mixing with additive and subtractive color (1 page double sided)
⃞ Lab instructions on ray tracing lenses: trapezoid, biconvex, convex and biconcave.
⃞ How A Mirror Works (1 page single sided) (3/28/17)
⃞ Review sheet which begins “Graded notebook check during class”, and which has a table of equations at the bottom (3/28/17)
⃞ “How to do problem solving: Work in assigned groups” 6 steps: 8 review problems.
⃞ MCAS Doppler effect (1 page double sided) ( 3/30 )
⃞ Cornell notes. Chap 20, Electrostatics. Sections 1 and 2. ( 4/3,4 )
⃞ Cornell notes. Electromagnetism -> Electric fields and potential ( 4/5,6)
⃞ Cornell notes. Electromagnetism -> Chap 22, Electric current Section 1 (4/10)
⃞ 2016 MCAS Exam (4/17)
⃞ Chap 20 study guide: Static Electricity – 4 pages (4/11,12)
⃞ Cornell Notes: Diagram of Static & Electric Charges. Measuring Electricity. In Which Direction Does Electric Current Flow. (4/24,25)
How can we see a bullet’s angular momentum?
Mythbusters tested this claim in episode 166 – “Spy Car 2”, May 18, 2011
Myth Statement: A bullet fired into the surface of a frozen lake can spin like a top on impact. Inspired by a viral video.
How does a bullet start spinning to begin with?
Guns are rifled in order to impart spin to a bullet leaving the barrel.
Rifling gives the bullet angular momentum, which stabilizes it
(keeps it from tumbling)
A sudden decision to aim a handgun at some Houston County ice in 2003 yielded a video of spinning bullets that became an Internet sensation and led to a May 18 appearance on cable television’s “Mythbusters” show. The “myth” was born on a winter afternoon when Nate Smith of La Crescent, Minn., along with friends Nate and Andy Van Loon, were shooting bullets from a 9-mm Glock from a hillside toward a patch of ice on the Van Loons’ land near Houston.
“We just went out, not being very smart, and were shooting the ice and watching the pieces of ice fly, and we were recording ourselves,” Smith said. “I remember, after we shot a couple times, wondering what that crackling sound we were hearing was.”
After firing multiple shots, they found the bullets spinning on end on the ice surface, a few feet back from the point of impact. “You could see the trail from where it ricocheted and that’s how we found it,” Smith said. “And it went for about two minutes, so we just filmed that.”
The only explanation Smith could offer is rifling in the gun barrel caused the bullets to spin. Though Smith first put the video on the Internet in 2005, it took off in December 2009 when Smith’s friend Jason Nesbit asked if he could re-post it on YouTube. More than a half-million people have since viewed it.
When questions arose over the validity of the clip, Nesbit asked if he could re-create it on a local frozen lake. “We didn’t think anything would happen, so we said, ‘Sure, go ahead. Do whatever,'” Smith said. But Nesbit went further, sending the video to the “Mythbusters” website, where it caught the attention of the Discovery Channel show’s producers. Smith and Nesbit also were contacted by an Asian television show that paid them a small stipend to use the video. Smith watched May 18 as the “Mythbusters” hosts worked to prove or disprove what he had seen with his own eyes. “Somehow, they get their bullets to just spin like a top,” host Kari Byron said on the show. “Now that sounds like a myth,” co-host Tory Belleci added.
The key element was finding the correct angle to fire the gun into the ice, Belleci said. Too straight would deform the bullet too much to spin, too shallow would send the slug skipping off the ice.
The hosts set up nine 40-by-24-by-10-inch chunks of ice next to each other to replicate the frozen lake. The first shots became embedded in the ice and had no chance to spin. But a bullet was recovered that hadn’t deformed, a cause for cautious optimism. Yet the next several tests failed to yielded a spinning bullet, so the hosts tried firing at an angle to ricochet off a large piece of ice between 2 and 8 feet away from the initial contact point. The hit was clean, but the bullet was gone. Several more tries, several more lost bullets. The hosts decided to try again six months later on an actual frozen lake. But shot after shot and no luck. “This myth sucks,” Belleci said in the blizzard-like conditions.
For the final test, they gave the bullet room to ricochet backwards, as it had on Smith’s outing. After countless attempts, they found the spin they were looking for. It happened again and again, confirming the myth. Smith said the whole experience was somewhat surreal, since he once joked the video might someday make it to “Mythbusters.” “Eight years later, here we are and it was on TV,” he said. But he doesn’t recommend anyone try this at home. “Looking back at it,” he said, “it wasn’t very safe.”
- article from Lacrosse tribune. ‘Mythbusters’ tackles Houston County video of spinning bullets. By Ryan Henry, Houston County News
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