Posts Tagged ‘Kepler’
“Here comes the sun”*…
Further, in a fashion, to last Wednesday’s post… We’ve looked before (e.g., here) at the potential havoc that solar storms could wreak on our electified lives. Now, as Paul Voosen reports, scientists are speculating on a defense, suggesting that gases released from satellites could slash the threat of severe “space weather”…
When violent eruptions from the Sun slam into Earth’s magnetic field, they do more than paint aurorae across the night sky. They can scramble the electronics of satellites and induce powerful ground currents that knock out electrical grids. It’s been estimated that a one-in-a-100-year solar storm like the 1859 Carrington Event could cause more than $3 trillion of damage to the power grid alone. [See here.]
Yet for decades, society’s only defenses have been better space weather forecasts and more durable technology on the ground and in space. Now, a small group of space physicists says humanity should intervene and weaken solar storms in real time. In a study published [recently] in Space Weather, the researchers describe a provocative proposal called “StormWall”: a fleet of satellites that would release hundreds of tons of gases into space just before a solar storm strikes Earth. Computer simulations suggest the artificial cloud could cut the intensity of a major solar storm by half or more. “It’s as if you could install an airbag in the magnetosphere,” says Daniel Welling, a co-author and space physicist at the University of Michigan.
Call it “helioengineering”—a deliberate intervention in the near-Earth space environment. But unlike controversial geoengineering proposals to mitigate global warming, which would inject long-lived Sun-blocking particles into the atmosphere, StormWall’s protective gases would dissipate within hours, says Brian Walsh, the study’s lead author and a space physicist at Boston University. “It’s waiting for us to do some temporary modification.”
The proposal would require more extensive simulations and testing. But it is “highly innovative and appears to be quite feasible in the near term,” says Allison Jaynes, a space physicist at the University of Iowa. It’s a “laudable idea,” adds Gurudas Ganguli, a space physicist at the U.S. Naval Research Laboratory (NRL)…
[Voosen explains the technology proposed and considers the challenges in its implementation…]
… Of course, like an airbag, StormWall would have to be replaced if deployed. But just as NASA and other space agencies are studying how to protect the planet from asteroids [and here], Walsh says there’s a good argument for fortifying an electronics-dependent society against massive solar eruptions. “If we lose all our power grids and can’t use the internet for 6 years, it would be traumatic.”
“Radical proposal would block solar storms with orbital ‘airbag’” from @science.org.
* George Harrison
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As we apply sunscreen, we might send bright birthday greetings to Godfried Wendelen; he was born on this date in 1580. And astronomer (and Catholic priest) known as “the Ptolemy of his time.” Despite the tenets of his church, Wendelen was an audacious proponent of the Copernican theory that the planets orbit around the sun. He made more accurate measurements of the distance to the sun than those previously made by Aristachus (2,000 years earlier) from the geometrical relationships at the exact time of a half-moon.
Wendelen is considered by many as a precursor of Kepler and Newton, and was in fact cited by Newton in his Principia. The crater Vendelinus on the Moon is named after him
“There is only one world, the natural world, exhibiting patterns we call the ‘laws of nature’”*…
The quote above (in full, below) is the reigning substantive understanding of scientific naturalism that is commonplace today. Indeed, the modern era is often seen as the triumph of science over supernaturalism. But, as Peter Harrison explains, what really happened is far more interesting…
By any measure, the scientific revolution of the 17th century was a significant milestone in the emergence of our modern secular age. This remarkable historical moment is often understood as science finally liberating itself from the strictures of medieval religion, striking out on a new path that eschewed theological explanations and focused its attentions solely on a disenchanted, natural world. But this version of events is, at best, half true.
Medieval science, broadly speaking, had followed Aristotle in seeking explanations in terms of the inherent causal properties of natural things. God was certainly involved, at least to the extent that he had originally invested things with their natural properties and was said to ‘concur’ with their usual operations. Yet the natural world had its own agency. Beginning in the 17th century, the French philosopher and scientist René Descartes and his fellow intellectual revolutionaries dispensed with the idea of internal powers and virtues. They divested natural objects of inherent causal powers and attributed all motion and change in the universe directly to natural laws.
But, for all their transformative influence, key agents in the scientific revolution such as Descartes, Johannes Kepler, Robert Boyle and Isaac Newton are not our modern and secular forebears. They did not share our contemporary understandings of the natural or our idea of ‘laws of nature’ that we imagine underpins that naturalism…
[Harrison traces the history of the often contentious, but ultimately momentous rise of naturalism, then considers the historical acounts of that ascension– and what they gloss over or miss altogether. He then turns to whay that matters…]
… the contrived histories of naturalism that purport to show its victory over supernaturalism were fabricated in the 19th century and are simply not consistent with the historical evidence. They are also tainted by a cultural condescension that, in the past at least, descended into outright racism. Few, if any, would today endorse the chauvinism that attends these older, triumphalist accounts of the history of naturalism. Yet, it is worth reflecting upon the extent to which elements of cultural condescension necessarily colour scholarly endeavours that are premised on the imagined ‘neutral’ grounds of naturalism. Careful consideration of the contingent historical circumstances that gave rise to present analytic categories that enjoy significant standing and authority would suggest that there is nothing especially neutral or objective about them. Any clear-eyed crosscultural comparison – one that refrains from assessing worldviews in terms of how they measure up to the standard of the modern West – will reinforce this. We might go so far as to adopt a form of ‘reverse anthropology’, where we think how our own conceptions of the world might look if we adopted the frameworks of others. This might entail dispensing with the idea of the supernatural, and attempting to think outside the box of our recently inherited natural/supernatural distinction.
History [that is, the “actual” history that Harrison recounts] suggests that our regnant modern naturalism is deeply indebted to monotheism, and that its adherents may need to abandon the comforting idea that their naturalistic commitments are licensed by the success of science. As for the idea of the supernatural, ironically this turns out to be far more important for the identity of those who wish to deny its reality than it had ever been for traditional religious believers…
Fascinating and provocative: “The birth of naturalism,” from @uqpharri in @aeonmag.
* “There is only one world, the natural world, exhibiting patterns we call the ‘laws of nature’, and which is discoverable by the methods of science and empirical investigation. There is no separate realm of the supernatural, spiritual, or divine; nor is there any cosmic teleology or transcendent purpose inherent in the nature of the universe or in human life.” – Sean Carroll, The Big Picture
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As we rethink reality, we might recall that it was on this date in 1588 that Tycho Brahe first outlined his “Tychonic system” concept of the structure of the solar system. The Tychonic system was a hybrid, sharing both the basic idea of the geocentric system of Ptolemy, and the heliocentric idea of Nicholas Copernicus. Published in his De mundi aethorei recentioribus phaenomenis, Tycho’s proposal, retaining Aristotelian physics, kept the the Sun and Moon revolving about Earth in the center of the universe and, at a great distance, the shell of the fixed stars was centered on the Earth. But like Copernicus, he agreed that Mercury, Venus, Mars, Jupiter, and Saturn revolved about the Sun. Thus he could explain the motions of the heavens without “crystal spheres” carrying the planets through complex Ptolemaic epicycles.
On this same date, in 1633, Galileo Galilei arrived in Rome to face trial before the Inquisition. His crime was professing the belief that the earth revolves around the sun– based on observations that he’d made further to Copernicus and Tycho.
“Zero is powerful because it is infinity’s twin. They are equal and opposite, yin and yang.”*…
… and like infinity, zero can be a cognitive challenge. Yasemin Saplakoglu explains…
Around 2,500 years ago, Babylonian traders in Mesopotamia impressed two slanted wedges into clay tablets. The shapes represented a placeholder digit, squeezed between others, to distinguish numbers such as 50, 505 and 5,005. An elementary version of the concept of zero was born.
Hundreds of years later, in seventh-century India, zero took on a new identity. No longer a placeholder, the digit acquired a value and found its place on the number line, before 1. Its invention went on to spark historic advances in science and technology. From zero sprang the laws of the universe, number theory and modern mathematics.
“Zero is, by many mathematicians, definitely considered one of the greatest — or maybe the greatest — achievement of mankind,” said the neuroscientist Andreas Nieder, who studies animal and human intelligence at the University of Tübingen in Germany. “It took an eternity until mathematicians finally invented zero as a number.”
Perhaps that’s no surprise given that the concept can be difficult for the brain to grasp. It takes children longer to understand and use zero than other numbers, and it takes adults longer to read it than other small numbers. That’s because to understand zero, our mind must create something out of nothing. It must recognize absence as a mathematical object.
“It’s like an extra level of abstraction away from the world around you,” said Benjy Barnett, who is completing graduate work on consciousness at University College London. Nonzero numbers map onto countable objects in the environment: three chairs, each with four legs, at one table. With zero, he said, “we have to go one step further and say, ‘OK, there wasn’t anything there. Therefore, there must be zero of them.’”
In recent years, research started to uncover how the human brain represents numbers, but no one examined how it handles zero. Now two independent studies, led by Nieder and Barnett, respectively, have shown that the brain codes for zero much as it does for other numbers, on a mental number line. But, one of the studies found, zero also holds a special status in the brain…
Read on to find out the ways in which new studies are uncovering how the mind creates something out of nothing: “How the Human Brain Contends With the Strangeness of Zero,” from @QuantaMagazine.
Pair with Percival Everett’s provocative (and gloriously entertaining) Dr. No.
* Charles Seife, Zero: The Biography of a Dangerous Idea
Scheduling note: your correspondent is sailing again into uncommonly busy waters. So, with apologies for the hiatus, (R)D will resume on Friday the 25th…
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As we noodle on noodling on nothing, we might send carefully-calculated birthday greetings to Erasmus Reinhold; he was born on this date in 1511. A professor of Higher Mathematics (at the University of Wittenberg, where he was ultimately Rector), Reinhold worked at a time when “mathematics” included applied mathematics, especially astronomy– to which he made many contributions and of which he was considered the most influential pedagogue of his generation.
Reinhold’s Prutenicae Tabulae (1551, 1562, 1571, and 1585) or Prussian Tables were astronomical tables that helped to disseminate calculation methods of Copernicus throughout the Empire. That said, Reinhold (like other astronomers before Kepler and Galileo) translated Copernicus’ mathematical methods back into a geocentric system, rejecting heliocentric cosmology on physical and theological grounds. Both Reinhold’s Prutenic Tables and Copernicus’ studies were the foundation for the Calendar Reform by Pope Gregory XIII in 1582… and both made copious use of zeros.
“The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.”*…
As Tom Siegfried explains, the “music of the spheres” was born from the effort to use numbers to explain the universe…
If you’ve ever heard the phrase “the music of the spheres,” your first thought probably wasn’t about mathematics.
But in its historical origin, the music of the spheres actually was all about math. In fact, that phrase represents a watershed in the history of math’s relationship with science.
In its earliest forms, as practiced in ancient Egypt and Mesopotamia, math was mainly a practical tool for facilitating human interactions. Math was important for calculating the area of a farmer’s field, for keeping track of workers’ wages, for specifying the right amount of ingredients when making bread or beer. Nobody used math to investigate the nature of physical reality.
Not until ancient Greek philosophers began to seek scientific explanations for natural phenomena (without recourse to myths) did anybody bother to wonder how math would help. And the first of those Greeks to seriously put math to use for that purpose was the mysterious religious cult leader Pythagoras of Samos.
It was Pythagoras who turned math from a mere tool for practical purposes into the key to unlocking the mysteries of the universe. As the historian Geoffrey Lloyd noted, “The Pythagoreans were … the first theorists to have attempted deliberately to give the knowledge of nature a quantitative, mathematical foundation.”…
More at: “How Pythagoras turned math into a tool for understanding reality,” from @tom_siegfried in @ScienceNews.
Apposite: Walter Murch’s ideas on “planetary harmony” (and Lawrence Weschler’s book on him and them)
* Henri Poincare
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As we seek beauty, we might recall that it was on this date in 1595 that Johann Kepler (and here) published Mysterium cosmographicum (Mystery of the Cosmos), in which he described an invisible underlying structure determining the six known planets in their orbits. Kepler thought as a mathematician, devising a structure based on only five convex regular solids; the path of each planet lay on a sphere separated from its neighbors by touching an inscribed polyhedron.
It was a beautiful, an elegant model– and one that fit the orbital data available at the time. It was of course, nonetheless, wrong.
“Werner Heisenberg once proclaimed that all the quandaries of quantum mechanics would shrivel up when 137 was finally explained”*…
One number to rule them all?
Does the Universe around us have a fundamental structure that can be glimpsed through special numbers?
The brilliant physicist Richard Feynman (1918-1988) famously thought so, saying there is a number that all theoretical physicists of worth should “worry about”. He called it “one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man.”
That magic number, called the fine structure constant, is a fundamental constant, with a value which nearly equals 1/137. Or 1/137.03599913, to be precise. It is denoted by the Greek letter alpha – α.
What’s special about alpha is that it’s regarded as the best example of a pure number, one that doesn’t need units. It actually combines three of nature’s fundamental constants – the speed of light, the electric charge carried by one electron, and the Planck’s constant, as explains physicist and astrobiologist Paul Davies to Cosmos magazine. Appearing at the intersection of such key areas of physics as relativity, electromagnetism and quantum mechanics is what gives 1/137 its allure…
The fine structure constant has mystified scientists since the 1800s– and might hold clues to the Grand Unified Theory: “Why the number 137 is one of the greatest mysteries in physics,” from Paul Ratner (@paulratnercodex) in @bigthink.
* Leon M. Lederman, The God Particle: If the Universe Is the Answer, What Is the Question?
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As we ruminate on relationships, we might spare a thought for Georg von Peuerbach; he died on this date in 1461. A mathematician, astronomer, and instrument maker, he is probably best remembered for his streamlined presentation of Ptolemaic astronomy in the Theoricae Novae Planetarum (which was an important text for many later-influential astronomers including Nicolaus Copernicus and Johannes Kepler).
But perhaps as impactful was his promotion of the use of Arabic numerals (introduced 250 years earlier in place of Roman numerals), especially in a table of sines he calculated with unprecedented accuracy.
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