(Roughly) Daily

Posts Tagged ‘Visualization

“Nothing can better cure the anthropocentrism that is the author of all our ills than to cast ourselves into the physics of the infinitely large (or the infinitely small)”*…

And very eye-opening it can be. Jason Kottke reports on an article in the most recent issue of the American Journal of Physics with the understated title of “All objects and some questions.”

You just have to admire a chart that casually purports to show every single thing in the Universe in one simple 2D plot. [As the article’s author explain:]

In Fig. 2 [above], we plot all the composite objects in the Universe: protons, atoms, life forms, asteroids, moons, planets, stars, galaxies, galaxy clusters, giant voids, and the Universe itself. Humans are represented by a mass of 70 kg and a radius of 50 cm (we assume sphericity), while whales are represented by a mass of 10^5 kg and a radius of 7 m.

The “sub-Planckian unknown” and “forbidden by gravity” sections of the chart makes the “quantum uncertainty” section seem downright normal — the paper collectively calls these “unphysical regions.” Lovely turns of phrase all.

But what does it all mean? My physics is too rusty to say, but I thought one of the authors’ conjectures was particularly intriguing: “Our plot of all objects also seems to suggest that the Universe is a black hole.”…

Is the universe a black hole? (and other provocative propositions): @kottke on a recent scientific paper: “The Plot of All Objects in the Universe.”

* Julio Cortázar, Around the Day in Eighty Worlds

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As we size up scale, we might recall that it was on this date in 451 that a different kind of attempt to reconcile the finite and the infinite began: the first session of the Council of Chalcedon (in modern-day Turkey) was opened. The fourth ecumenical council of the Christian church, it was attended by over 520 bishops or their representatives (making it the largest and best documented of the first seven ecumenical councils). It was convened by the Roman emperor Marcian to re-assert the teachings of the ecumenical Council of Ephesus against the heresies of Eutyches and Nestorius— whose teachings attempted to dismantle and separate Christ’s divine nature from his humanity (Nestorianism) and further, to limit Christ as solely divine in nature (Monophysitism).

The Council succeeded in that task. As Jaroslav Pelikan characterized their findings:

We all teach harmoniously [that he is] the same perfect in godhead, the same perfect in manhood, truly God and truly man, the same of a reasonable soul and body; homoousios with the Father in godhead, and the same homoousios with us in manhood … acknowledged in two natures without confusion, without change, without division, without separation.

… which marked a turning point in the Christological debates. But it also generated heated disagreements between the council and the Oriental Orthodox Church, which saw things differently– a contention that informed the separation of the Oriental Orthodox Churches from the rest of Christianity… and led to the Council being remembered as “Chalcedon, the Ominous.”

Fourth Ecumenical Council of Chalcedon, 1876 painting by Vasily Surikov (source)

“It is better to have your head in the clouds, and know where you are… than to breathe the clearer atmosphere below them, and think that you are in paradise”*…

Take a ride from the earth’s surface to the Kármán line (the conventionally-acknowledged boundary between Earth’s atmosphere and outer space) on Neal Agarwal‘s (@nealagarwal) Space Elevator.

* Henry David Thoreau

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As we get high, we might recall that this date in 1970 was the first Earth Day.  First suggested by John McConnell for March 21 (the Equinox in the Northern Hemisphere, a day of natural equipoise), Secretary General U Thant signed a UN Proclamation to that effect.  But Earth Day as we know it was founded by U.S. Senator Gaylord Nelson (who was later awarded the Presidential Medal of Freedom Award for his work) as an environmental teach-in to be held on on this date.  The first Earth Day had participants and celebrants in two thousand colleges and universities, roughly ten thousand primary and secondary schools, and hundreds of communities across the United States.  Later that year, President Nixon signed the Environmental Protection Agency into being.  Earth Day is now observed in 192 countries, coordinated by the nonprofit Earth Day Network, chaired by the first Earth Day 1970 organizer Denis Hayes– according to whom Earth Day is now “the largest secular holiday in the world, celebrated by more than a billion people every year.”

Earth Day Flag created by John McConnell

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“Look up at the stars and not down at your feet. Try to make sense of what you see, and wonder about what makes the universe exist.”*…

Our environment…

This map shows a slice of our Universe. It was created from astronomical data taken night after night over a period of 15 years using a telescope in New Mexico, USA. We are located at the bottom. At the top is the actual edge of the observable Universe. In between, we see about 200,000 galaxies.

Each tiny dot is a galaxy. About 200,000 are shown with their actual position and color. Each galaxy contains billions of stars and planets. We are located at the bottom. Our galaxy, the Milky Way, is just a dot. Looking up, we see that space is filled with galaxies forming a global filamentary structure. Far away from us (higher up in the map), the filaments become harder to see…

For a (much crisper, more vivid, and interactive) version: “The Map of the Observable Universe.”

* Stephen Hawking

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As we explore, we might recall that it was on this date in 1616 that The Minutes of the Roman Inquisition recorded the conclusion that Galileo’s writings in support of Copernicus’ heliocentric view of the solar system were “foolish and absurd in philosophy, and formally heretical since it explicitly contradicts in many places the sense of Holy Scripture.” The next day, Galileo was called before Cardinal Bellarmine, who (on Pope Paul V’s instruction) ordered Galileo to abandon the teaching. Shortly thereafter, Copernicus’s De Revolutionibus and other heliocentric works were banned (entered onto the Index Librorum Prohibitorum) “until correction.”

Sixteen years later, Galileo “published” Dialogue Concerning the Two Chief World Systems (Dialogo sopra i due massimi sistemi del mondo)– that’s to say, he presented the first copy to his patron, Ferdinando II de’ Medici, Grand Duke of Tuscany.  Dialogue, which compared the heliocentric Copernican and the traditional geo-centric Ptolemaic systems, was an immediate best-seller.

While there was no copyright available to Galileo, his book was printed and distributed under a license from the Inquisition.  Still, the following year it was deemed heretical– and he joined Copernicus on the Index Librorum Prohibitorum: the publication of anything else Galileo had written or ever might write was also banned… a ban that remained in effect until 1835.

Domenico Tintoretto‘s portrait of Galileo (source)

Written by (Roughly) Daily

February 25, 2023 at 1:00 am

“Taxonomy is described sometimes as a science and sometimes as an art, but really it’s a battleground”*…

The periodic table of elements, in the form introduced by Dmitri Mendeleev, is something that many of us take for granted. But as Philip Ball explains, there are a number of different visualizations making claims for our attention…

The Periodic Table was conceived as a scheme for bringing order to the elements. When there were deemed to be only four of these—the earth, air, fire, and water of the Greek philosopher Empedocles (it was just one of the elemental systems proposed in ancient times, but enjoyed the weighty advocacy of Plato and Aristotle)—things seemed simple enough. But during the Renaissance, natural philosophers were increasingly forced to accept that the metals then known—copper, iron, lead, tin, mercury, silver and gold—were not as interconvertible as the alchemists believed, but seemed to have an elemental primacy about them, too. More and more of these became recognized—zinc, bismuth, cobalt, and others—along with other new elements such as sulfur, phosphorus, carbon, and, in the late eighteenth century, gaseous elements like nitrogen, hydrogen and oxygen. When the French chemist Antoine Lavoisier (who named those latter two) drew up a list of known elements for his seminal textbook Traité élémentaire de chemie in 1789, he counted 33—including light and heat, which he called caloric.

The list didn’t seem to be arbitrary though. In the early nineteenth century, several scientists noted that some elements seemed to come in families, resembling one another in the kinds of reactions they engaged in and the compounds they formed. Some claimed to see triads: the halogens chlorine, bromine and iodine for example, or the reactive metals sodium, potassium (both discovered by English chemist Humphry Davy in 1807) and lithium (identified in 1817). Was there a hidden pattern to the elements?

The Russian chemist Dmitri Mendeleev, working at Saint Petersburg University, is usually credited with discovering that pattern. A Siberian by birth, with Rasputin-like dishevelled hair and an irascible manner, he published his first Periodic Table in 1869. It is “periodic” because, if you list the elements in order of their mass, certain chemical properties seem to recur periodically along the list. The table is produced by folding that linear list so that elements with shared properties sit in vertical columns (although Mendeleev’s first table had them instead in rows, effectively turning today’s table on its side)…

Still, it’s a weird kind of periodicity. At first, chemical properties seemed to recur every eight elements. But in the row that starts with potassium, there’s an interlude of ten metals—the transition metals—and so it continues thereafter, creating a periodicity of 18. And after lanthanum (element 57), chemists discovered a whole series of 14 metallic elements with almost identical properties that have to be squeezed in too—frankly, these elements, called the lanthanides after the first of their ilk, all seem a bit redundant. There’s another block like this after radioactive actinium (element 89), called the actinides. In most Periodic Tables, the lanthanide and actinide blocks are left floating freely underneath so the table doesn’t get stretched beyond the confines of the page. (Some insist that this long-form table is the only proper one.) Why this odd structure?

The answer became clear with the invention of quantum mechanics in the early twentieth century. The chemical properties of New Zealander Ernest Rutherford showed that atoms comprise a central, very dense nucleus with a positive electrical charge, surrounded by enough negatively charged electrons to perfectly balance that charge. Rutherford imagined the electrons orbiting the nucleus like moons, but in the quantum-mechanical description they occupy nebulous, smeared-out clouds called orbitals. Using quantum mechanics to describe the disposition of electrons shows that they are arrayed in shells. The first of these can contain just two electrons—this is the only shell possessed by hydrogen and helium, the two lone elements at the tops of the towers—while the next has eight, and then 18. The shape of the periodic table thus encodes the character of the quantum atom.

All clear? Not quite. Even now, there’s no consensus about how to draw the Periodic Table…

Read on to explore some fascinating alternative depictions: “Picture This: The Periodic Table,” by @philipcball in @PioneerWorks_.

* Bill Bryson, A Short History of Nearly Everything

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As we ruminate on relationships, we might spare a thought for Vladimir Vernadsky; he died on this date in 1945. A Ukrainian mineralogist and geochemist, he is considered one of the founders of geochemistry, biogeochemistry, and radiogeology. He also co-founded and served as the first President of the Ukrainian Academy of Sciences (now National Academy of Sciences of Ukraine).

Vernadsky is probably best remembered for his 1926 book Biosphere, in which he popularized the concepts of the biosphere and the noosphere, arguing (after Eduard Suess) that in the Earth’s development, the noosphere (cognitive life) is the third stage in the earth’s development, after the geosphere (inanimate matter) and the biosphere (biological life). Just as the emergence of life fundamentally transformed the geosphere, the emergence of human cognition will fundamentally transform the biosphere. In this theory, the principles of both life and cognition are essential features of the Earth’s evolution, and must have been implicit in the earth all along (a position Vernadsky held was complementary to Darwin’s theory of evolution). Indeed, within the last 200 years, humanity has been a powerful geologic force, moving more mass upon the earth than has the biosphere.

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Written by (Roughly) Daily

January 6, 2023 at 1:00 am

“Space is to place as eternity is to time”*…

Josh Worth (@misterjworth), with a mesmerizing interactive reminder that space is vast: “If the Moon Were Only 1 Pixel.”

Joseph Joubert

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As we scrutinize scale, we might recall that it was on this date in 1988 that NASA, undaunted by distance, launched the Space Shuttle Discovery (which had been out of service for three years), marking America’s return to manned space flight following the Challenger disaster. By its last mission in 2011, Discovery had flown 149 million miles in 39 missions, completed 5,830 orbits, and spent 365 days in orbit over 27 years.

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Written by (Roughly) Daily

September 29, 2022 at 1:00 am