Ancient astronomy

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An illustration from James Evans’ book on ancient astronomy


I’ve mentioned that the sequel to Fugue in Ursa Major is going to involve time travel. The plot requires that I have an understanding of the state of the science of astronomy around 48 B.C. As a source for that, I am reading James Evans’ The History and Practice of Ancient Astronomy, which was published by the Oxford University Press in 1998. This is a beautiful, well-illustrated, and fairly expensive book. It has left me greatly impressed at just how much the ancients knew.

We generally assume that modern astronomy began with Copernicus and Galileo as the Dark Ages were coming to a close. In 1633, the church convicted Galileo for following Copernicus in saying that earth is not at the center of the universe. But some of the ancient Greek astronomers figured out that the earth moves around the sun, though it was not a mainstream idea in ancient times. Aristotle knew that the earth is a sphere. Heraclides of Pontos, a student of Plato, taught as early as 350 B.C. that the earth rotates and that the stars are fixed. Greek astronomers were able to make pretty good estimates of the size of the earth and moon, though their estimates of the size and distance of the sun were less accurate. The Greeks understood trigonometry. They had a pretty accurate theory of the motion of the planets. Even before the Greeks, the ancient Babylonians were excellent astronomers who made detailed star charts and kept accurate astronomical records. Babylon’s knowledge was passed down to the Greeks. The Greeks built on Babylonian astronomy, especially during the golden years of Alexandria, culminating with Ptolemy’s Almagest around 150 A.D. After Ptolemy, the Dark Ages began in the West, so Ptolemy remained authoritative for hundreds of years.

So, it’s not really true that, to the ancients, the science of astronomy was barely distinguishable from the myths of astrology. They knew a lot.

So how did they use what they knew?

For one, they wanted better calendars. The daily cycle, the lunar cycle, and the annual solar cycle don’t fit together in tidy ratios, so there is no perfect calendar. Our own Gregorian calendar, an antique which is a refinement of the ancients’ Julian calendar, requires all sorts of adjustments including leap seconds and leap years. In its essentials, our calendar today is the Roman calendar, which relied heavily on Greek astronomy.

Astronomy is critical to agriculture — when to plow, when to plant. This remains true today, and I still subscribe to an almanac, as did my grandparents. Benjamin Franklin’s Poor Richard’s Almanac was a bestseller in the American colonies. People planted by it.

Astronomy also is critical to navigation, surveying, and mapmaking. Ancient sailors knew how to navigate by the stars. One of the reasons I chose Ursa Major as part of a book title was its importance to the ancients. The constellation of Ursa Major is visible for the entire year in most of the northern hemisphere. Ursa Major includes some easily identified “pointer stars” (the Big Dipper) that make it easy to locate the polar star and therefore true north. An ancient sailor who wanted to sail east at night would keep Ursa Major up to his left. We know that the ancient Celts had excellent seafaring skills and excellent ships and that the Celts also used Ursa Major for navigation.

How about astrology? It would be easy enough to accuse the ancients of being superstitious because they tried to use the stars to predict the future and to make generalizations about human nature and human fate. But we moderns are just as guilty, since horoscopes remain important in the lives of lots of people.

It’s easy enough to reproduce the astronomical observations of the ancients with some simple instruments. A gnomon (which is what a sundial is) will allow you to deduce and measure all sorts of information if you trace the sun’s shadow for a year. If you trace the sun’s shadow for a single day, you can very precisely locate true north. If you have a protractor or an astrolabe and measure the angle of the sun above the horizon on the summer solstice, you’ll know your latitude. Looking through tubes attached to a tripod will let you measure an object’s motion from hour to hour. You’ll need some star charts. And if you want to get fancy, you’ll need to brush up on what you learned about tangents, sines, and cosines in trigonometry class.

Even today, with an astrolabe, a watch, and a view of Ursa Major, you could throw away your GPS.

How would you do that? Measuring the angle of Polaris, the north star, above the horizon will tell you your latitude. That’s easy. Longitude is more difficult, and longitude bedeviled the ancients. But if you can determine your local time by getting a precise fix on noon (with the gnomon of a sundial, say, or the shadow of a stick stuck in the ground), and if you know what time it is at some distant place with a known longitude (Greenwich is handy for that), then you can calculate your longitude. At night, you can get a pretty good fix on the time by measuring the position of a known star.

To clarify the concept of longitude, keep in mind that the British navy carried accurate clocks on their ships (chronometers) not because they cared about the local time wherever they might be. Rather, the chronometer always said what time it was back in Greenwich. If you determine your local time from the sun or a star, then the difference between your local time and Greenwich time tells you how far you are east or west of Greenwich. After accurate clocks were available for ships, marine navigation greatly improved. This is why Britain’s Royal Observatory at Greenwich was commissioned by King Charles II in 1675. In the U.S., the Naval Observatory is one of the oldest scientific organizations in the country. The Naval Observatory was responsible for the “master clock” that the navy used for navigation. The observatory still is responsible for the master clock! The time used by GPS satellites is determined by the U.S. Naval Observatory.

But before GPS, if you were a ship at sea carrying Thomas Jefferson from Virginia to Calais, you’d needed a star to figure out the local time. The stars most convenient for that are in Ursa Major.

I like to think of it this way: The stars are still up there, raining information down on us day and night. All we have to do is just look up, and measure.

The abbey in oil: a work in progress

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Frank at work

Several months ago, Ken commissioned a painting of Acorn Abbey from a local artist, Frank Duncan. Frank is a celebrity in these parts. He’s also a neighbor. We asked Frank to unapologetically get in touch with his inner Thomas Kinkade and do interesting things with light and imagination. The painting will go in a rather large and very empty space above the mantel. The painting is coming along nicely.

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The watercolor “sketch,” which is a kind of blueprint for the oil painting. We chose a composition that emphasizes life and exuberance by putting the garden and orchard in the foreground and letting the house risk getting lost in the woods. Lots of little animals will be hidden here and there in the painting, like Easter eggs.

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The photograph that was used to lay in the painting’s composition and perspective

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A Frank Duncan painting

The theory and practice of the calca

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This is not a review of Neal Stephenson’s Anathem, which was published in 2008 and which I very much enjoyed reading. Rather, this is about the concept of the “calca,” a term created by Stephenson in Anathem.

Stephenson made up a lot of language for Anathem, which is a thousand-page tome about a very erudite order of monks, and he helpfully includes a glossary in the back of the book. This is how he defines calca:

An explanation, definition, or lesson that is instrumental in developing some larger theme, but that has been moved aside from the main body of the dialog and encapsulated in a footnote or appendix.

The monks of Acorn Abbey instantly saw the usefulness of this concept, though we might define it a little differently. Instead of being moved aside from the main body of the dialog, the calca can embedded in the dialogue. The concept of the calca is important to me, because I am highly inclined to write calcas, and I put a considerable amount of research into them.

Calcas can be either magnificent, boring, or somewhere in between, depending on the reader’s interest and the writer’s skill. But one thing is guaranteed. If a reader disagrees with, or is offended by, the content of the calca, then the writer will be accused of sermonizing, pontificating, or speechifying, and a bad review is guaranteed.

For example, here is a link to a very long and erudite review of Anathem with the title “Why Anathem Sucks.” The reviewer says, among other things, “In all of these cases, the math is rushed over in order to get to some speechifying.” Ooof. The reviewer and the writer do not belong to the same school in the philosophy of mathematics.

To my taste as a nerd, calcas are some of the best elements of literature. Isaac Asimov wrote wonderful calcas, which were spoken by his characters as part of the dialogue. The Foundation series would amount to nothing without calcas. Robert Heinlein took some criticism for his fondness for libertarian calcas. Ayn Rand wrote calcas, though of course I see her calcas as sermonizing and pontificating because I disagree with her.

A style of writing that includes calcas is not to everyone’s taste. Many readers would like to just get on with the action. On the other hand, when we like characters in a story, and when we are in accord with the author’s ideas, we generally enjoy a nice conversation with the characters and a calca or two. Yoda is calca-izing, for example, when he says:

Fear is the path to the dark side. Fear leads to anger. Anger leads to hate. Hate leads to suffering.

I’ll leave you with a couple of mean-ass calcas in dialogue from a science fiction writer, Richard K. Morgan:

I have no excuses, least of all for God. Like all tyrants, he is not worthy of the spit you would waste on negotiations. The deal we have is infinitely simpler – I don’t call him to account, and he extends me the same courtesy.

The personal, as everyone’s so fucking fond of saying, is political. So if some idiot politician, some power player tries to execute policies that harm you or those you care about, take it personally. Get angry. The Machinery of Justice will not serve you here — it is slow and cold, and it is theirs, hardware and soft. Only the little people suffer at the hands of Justice; the creatures of power slide out from under with a wink and a grin. If you want justice, you will have to claw it from them. Make it personal. Do as much damage as you can. Get your message across. That way you stand a far better chance of being taken seriously next time. Of being considered dangerous. And make no mistake about this: being taken seriously, being considered dangerous, marks the difference — the only difference in their eyes — between players and little people. Players they will make deals with. Little people, they liquidate. And time and again they cream your liquidation, your displacement, your torture and brutal execution with the ultimate insult that it’s just business, it’s politics, it’s the way of the world, it’s a tough life, and that it’s nothing personal. Well, fuck them. Make it personal.

Time travel? Warp jumps? Let’s go …

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My schematic, based on a sketch kindly provided by an alien visitor


For several months now, I have been at work on the sequel to Fugue in Ursa Major, which for now I just call Fugue II. I’ll give it a real title later. Fugue II is a much more demanding novel involving much more science fiction. There also is a historical element that is critical to the plot. It has required a great deal of research, most of it in thick tomes published by university presses. I sometimes think that I should include notes and a bibliography with Fugue II, just to show that my radical ideas don’t always come out of thin air.

There will be time travel in Fugue II. This technology belongs to aliens, who will allow earthlings to use it to help get earth out of the nasty predicament that I left earth in at the end of Fugue in Ursa Major. I think I’ll not say just yet where (and to what time) Jake and a few other earthlings will be going. But, when they get there, a deep stack of scholarly tomes will discipline my imagination in describing what they find and what they do. I am completely out of bookshelves, and there are many stacks of books in my room, some of them three feet high.

With our current understanding of physics, is time travel possible? How about faster-than-light travel? The opinions of physicists differ. But, if time travel or warp jumps are possible, then we can say a great deal about the conditions necessary to do it. To try to understand the physics of these conditions, I have relied heavily on Roger Penrose, a mathematician and physicist who is now an emeritus professor at Oxford. I have read a number of Penrose’s books. His mind is simply magnificent. I don’t have the math to truly follow him everywhere he goes, but I get the gist of it. A 10-year-old tome of his (1,100 pages long) has been my guide for the physics involved in the plot of Fugue II. The book is The Road to Reality: A Complete Guide to the Laws of the Universe.

But back to time travel and warp jumps. As I see it, to travel in time you’d have to be able to control a seriously powerful source of gravity. OK. A black hole could provide that. You’d also have to be able to control a source of negative energy density. Never mind what negative energy density might be. It’s enough to know that you won’t find it in many places. But one place where you will find it (we think) is in the ergosphere of a rotating black hole. If you read the Wikipedia article, you’ll find that it was Penrose himself who first described this, back in 1969. But again, you don’t have to worry too much about the physics. The key point is that rotating black holes generate the forces we need, if time travel and warp jumping are possible.

I’ve left it to the aliens to do the necessary engineering. It involves an enormous piece of machinery — a tubular helix (or spiral) big enough to allow a rotating black hole to pass through it. The travelers go winding through the hollow helix tube while the rotating black hole is passing through the helix. You enter one end of the tube in the here and now, and you come out the other end somewhere or sometime else. The machine can take you back in time, except that it can’t take you back to a time earlier than the time the machine was built. Alas, it cannot take you to the future, because of some complications related to the Second Law of Thermodynamics. It can, however, return you to the present after you’ve traveled to the past. The same device can be used for interstellar travel with no time tweaking, depending on how you manipulate quantum fields inside the helix. (Don’t ask — it’s an alien proprietary secret.) As a travel machine, it can fling you across space faster than light, depending on how fast the helix is rotating. The axis of the rotating helix (the direction in which it’s pointing) determines the direction in which you jump. And sure, you can jump through the middle of a star or a galaxy if you want, because you went straight from point A to point B in an instant, and you were never at any points in between. But if you fling yourself to some far-off galaxy, take care that you know how you’re going to get back, because you were traveling in an ordinary spaceship, and the jump machinery was left behind.

How did the aliens solve this problem? They made multiple jumps to the same location (always near a suitable black hole), sending along the necessary materials, and built new jump machines at points of interest all over the galaxy and beyond. So space travel involves slower-than-light transport for relatively short distances and a network of those enormous jump machines for faster-than-light interstellar travel.

As I understand the science, I cannot imagine a warp engine that could be built into a space ship. Far too much mass (and therefore gravity) is required, and the gravitational and tidal forces involved are exceedingly dangerous. These forces would rip human beings and machines apart. Therefore, as I see it, a warp engine would be more like a catapult. The catapult would remain where it is, but it would push you and your space ship through a worm hole as long as the travelers and their space ship were far enough away from the tremendous gravitational and tidal forces involved in opening a worm hole.

Faster-than-light travel is a minor element of Fugue II‘s story. It’s a story about people, really. But where the plot involves science (or history), I want all the i’s dotted and all the t’s crossed. I’m a radical and a heretic, but I rarely just make stuff up. What really drives my imagination is dreaming about how we might get out of the awful times we live in, and what we might do about the fact that the wrong people are running the world and have run the world for a long time.

Review: John Twelve Hawks’ Spark

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One of these books is a hot read.

John Twelve Hawks’ newest novel Spark was released on Oct. 7, and I actually bought it that week. But I was slammed with election duties during the month of October, so I put the book aside until quiet times returned. This is because I knew that Spark would be a barn burner of a page turner. It was, and I read it in a day and a half. Brilliant writers like John Twelve Hawks don’t really need yet another glowing review, so I’d like to get off onto a sidetrack for a moment — readers.

I have become fascinated with bad reviews, because bad reviews tell writers something that writers need to know. I’ve recently gotten into the habit, both with books I’m about to buy and books I’ve already read, of looking at the most negative reviews that can be found on Amazon. This probably started when Fugue in Ursa Major got its first 3-star, as opposed to 5-star review. I was insulted by the reader/reviewer’s sheer stupidity, and I needed to assure myself that everyone’s books are misunderstood. There’s a rule among writers about never responding to a bad review. But there is no rule that says you can’t respond to bad review of someone else’s book.

Here’s a snippet from the “most helpful” negative review of Spark, which has the headline “Meh.” I’m fixing the reviewer’s multiple typos:

“Honestly, the first half of the book was so dry and boring, I really wasn’t sure I would be able to finish it. … Part of the problem was the bland writing since the protagonist has no feelings, diagnosed with Cotard Syndrome (delusion of being dead) that there is no dimension to him. I really didn’t like him much or even care what was going on.”

Why do people who know (or care) so little about novels, characterization, and storytelling even bother to read? They are stuck inside their own tiny minds, not seeking any sort of expansive experience in a book but rather seeking to have their own smallness affirmed. But any reader with a clue about how stories work knows that, if a writer starts a story with a character who is incapable of affect and who thinks he is dead, then that character is going to undergo some sort of transformation during the course of the story. A good reader also will be alert to what’s between the lines. Maybe the author wants us to think about our feelings and when feelings matter (or don’t matter). Maybe he wants us to think about what’s worth living for, or whether we’ve even alive at all. A good reader also will know that, very often in good stories, characters change during the course of the story, and the nature of that change is an important part of what that story is about. It’s like starting with a hard-hearted character like Ebenezer Scrooge and asking ourselves, “What kind of experiences might change this bitter old man into someone warm and caring?” Thus Charles Dickens gave us A Christmas Carol. What if a clueless reviewer wrote, “I just couldn’t get into this story. The Scrooge character was just so one-dimensional and mean that I couldn’t care about him. So I couldn’t finish this book.”

Bah! Humbug!

If John Twelve Hawks (he’ll almost certainly Google up this review and read it) will forgive me for plugging my own book in a review of Spark, I got a similar comment in a review of Fugue in Ursa Major on the bad-taste book site Goodreads:

“The main character was a basket case unable to form relationships and he is saved. Only a hero that Ayn Rand would love, but I could care less.”

She is talking about my Jake. (Coincidentally, John Twelve Hawks’ main character in Spark also is named Jake.) As a bad reader, she does not understand that if a writer starts a story with a character who is having trouble with relationships, then during the course of the story that character is probably going to learn something about relationships. As for Ayn Rand, the reviewer is so insensitive to the clues that every writer lays between the lines that she can’t detect that I abhor Ayn Rand. I suspect that particular reviewer was blinded by her rigid political agenda. Reading, to her, is about comfort and confirmation in her own tiny world.

But back to Spark and the mystery of John Twelve Hawks. I’ve written about him previously, here, here, and here. He is a master of the hot read. I read him partly to study his style, in particular his action scenes, because I’m not good at writing action scenes. His prose is the kind of prose I like — transparent prose that tells the story without language getting in the way. In fact we’re hardly aware of language at all. His style is very cinematic, which is why I was not surprised that he got a big movie deal for Spark.

What I would love to know is how he learned to write. It can’t be just raw talent (though he has plenty of raw talent), because every writer works from a theory of writing whether he knows it or not. John Twelve Hawks dots all the i’s and crosses all the t’s. Everything is properly foreshadowed. There are no wrong notes. He stays on course for his destination: a ripping good conclusion. By the end, all the many threads of the story have been tied together, and every character has gotten his lines just right and played his role perfectly. It’s a masculine, muscular style that would not work for the kind of stories that I want to tell, but it’s perfect for the stories that John Twelve Hawks tells.

Which brings me to what I think is the most important question we might ask about John Twelve Hawks as a writer. Why does he choose to tell the kind of stories he tells? Having asked that question, I’m not going to try to answer it. Because only writers, not reviewers, can speak to readers on a question that important. But I think it’s much more than wanting to deliver a hot read. And, whatever his purpose is, I’m pretty sure that I wholeheartedly agree with him.

Review: Interstellar

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A good test of a movie, I think, is to let it digest for a few days and then ask yourself: Having digested this movie, was it nutritious enough that anything stuck to my bones? With “Interstellar,” the answer for me turns out to be no.

“Interstellar” is highly entertaining. It’s fast-paced, very smart, and beautiful to watch. There are strong character elements, with well-paced emotional peaks and valleys. In short, it’s a great experience at the theater (I saw it in IMAX). But not much sticks to the bones.

The sport of second-guessing director Christopher Nolan’s science seems to have quickly faded from the media. I’m not hearing any Oscar buzz. I don’t think it’s just me. I don’t think it’s sticking to many people’s bones. Still, I love it when Hollywood makes science fiction blockbusters.

Was “Interstellar” an environmental movie? One of the flaws of the movie, in my opinion, was that it tells us too little about what had happened on earth and was in too big a hurry to get into space. And having gotten into space, it lingered a little too long. Matt Damon could have been written out of this film with no loss at all. Clearly back on earth there was some sort of climate disaster, and lots of people died. Clearly this led to ugly cultural changes and what seemed to be a kind of leftist fascism. But that’s all left vague. It’s almost as though the director is in a hurry to abandon the earth and get on with an earth substitute made with technology. There is an ugly whiff of techno-utopianism: earth is disposable; superior people will save our plebeian asses, but only just enough of us to assure genetic diversity.

The word “existential” shows up a lot in things written about Christopher Nolan. That is very appropriate. Nolan seems allergic to approaching anything with the scent of the collective about it. He does not concern himself with values. With Nolan, very little is shared. Everything is seen through the eyes of single individuals, and they all see something different. I’m not necessarily criticizing existentialism in art, but existentialism tends to involve heavy exertion while on a low-protein, high-carb diet.

Should you see “Interstellar”? By all means, in IMAX if possible. But go out for a burger afterwards, because you’ll probably leave the theater hungry.

You also won’t feel the need for another Matt Damon or Matthew McConaughey movie for a long, long time.

Abbey photography update

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The abbey’s venerable Nikon D1X was starting to have occasional shutter malfunctions, so I went on eBay and bought a D2X, the model of professional camera that succeeded the D1X in 2004. The pros have moved on to D3’s and D4’s, so the D2X is now an affordable camera. I found a practically new one on eBay, with barely 3,000 shutter actuations. My D1X is now a backup camera.

It always seems shocking to me that, no matter how much professionals pay for their professional cameras, lenses can easily cost as much as the camera, or more. Those of us who don’t make money from photography but who take photography seriously must make do with the best lenses we can afford. I was greatly in need of a wide-angle lens, and I recently added a Nikkor 28-70mm lens to my camera kit. I also have a 50-200mm lens that gets a lot of use. And of course everyone has a 50mm so-called “prime lens,” which has the virtue of having a large pupil and the ability to see in low light, but which otherwise is pretty limited.

You’ll find as many opinions about cameras as there are photographers, but my preference is for Nikon professional cameras. They’re heavy, and they’re outrageously expensive when they’re new, but after they’re eight or so years old, when the pros have moved on to the newest model, the previous generation of cameras becomes easy to find on eBay. And if you watch the auctions carefully for a while, you can find a like-new camera that spent most of its life in a box, unused.

It’s amazing what the new digital cameras can do. But I remind myself that, even 50 years ago and more, photographers managed to get incredible shots with cameras, slow film, and lenses that we could consider hopelessly obsolete today. My D2X seems like a miracle, and it is so well-behaved, fast, and logical that it starts to feel like a part of your eye and brain.

Sprouting season has arrived

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When the garden is kaput and stuff in the grocery store starts looking like it’s traveled a long way, it’s time to start sprouting. It’s an old hippy skill that I’ve never abandoned, though often I just forget about the possibility of sprouts.

The best place I know to get sprouting seeds is from the Sprout People in San Francisco. What out for their high shipping costs, though. If you order $60 worth of stuff, shipping is free.

And, of course, don’t forget to add lots of garlic to the dressing. With garlic, sprouts, and lots of tangerine and orange juice, you’ll survive the winter just fine.

P.S. I haven’t yet ordered sprouting seeds or sprouting supplies from Amazon, but they seem to have good stuff and good prices, and much of it is available for free shipping with Prime. I still feel a little guilty ordering stuff from Amazon, but, especially when one lives in the sticks, low prices and fast, free shipping are hard to resist.

Autographed copies of Fugue in Ursa Major

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“Intelligent, mysterious, a perfect book for a movie; loved it!”

In time for the holidays and winter reading, I’m offering autographed copies of Fugue in Ursa Major. The cost is $15.

If you’d like to order a copy, please send an email to fugue@acornabbey.com and include this information:

1. Your name and mailing address

2. Whether you’d like to pay with a check or by PayPal

3. A name (if any) that I should include with the autograph

4. The text of a brief inscription (if any) that you’d like for me to include with the autograph

I will reply to your email with information on where to mail your check or how to pay with PayPal. After I’ve received your payment, I’ll send you the book by U.S. Postal Service priority mail.

The cost of priority mail alone is more than $5, so this is a bargain and doesn’t really earn me much profit. But I thought that loyal blog readers who bought the book in eBook format might also like to have a real copy of the book.