Sunday, January 10, 2010

Illumination and Noise

Jesse Ausubel is director of the Program for the Human Environment at the Rockefeller University and program director of the Census of Marine Life, a ten -year global initiative to catalog the oceans’ organisms that concludes in 2010.

Son et lumiѐre”—sound and light—may stir thoughts of a clamorous and brilliant display on a holiday evening, animating Versailles, the pyramids of Giza, or Delhi’s Red Fort with guns, gongs, and fireworks. But I would like to draw attention to other more serious dimensions of sound and light. A quarter century ago, in 1983, I was the scribe for a report of the US National Academy of Sciences titled “Toward an International Geosphere-Biosphere Program: A Study of Global Change.” To researchers in environmental sciences and many more people concerned about Earth’s nature, the phrase “global change” has become familiar. Global change brings to mind shifts in the climate induced by humanity, perhaps 1°C since the first telephone rang and electric lamp glowed. Global change conventionally also embraces climate’s cousins, such as alterations in land and ice cover, acidification of the oceans, and ozone depletion.

Yet, if the inventor of the telephone, Alexander Graham Bell, were to return to his beloved Nova Scotia in 2009, he would find this year’s climate little changed from one of the warm years of the 1890s when he passed by Bras d’Or Lake. However, the night sky would shock Bell. In 1909, over Bras d’Or, Bell’s Silver Dart made the first plane flight in the British Empire. Had the Silver Dart scouted by night, pilot J.A.D. McCurdy would have seen that Nova Scotia after sunset meant darkness except for moonshine and starlight. Illumination was dim and costly, more than 100 times per lumen the price today. The technology of Thomas Edison, Bell’s light-working contemporary, had not yet diffused. When their generation looked up at the night sky a century ago, they saw swathes of stars. Today, however, our most familiar starry image may be satellites and astronauts looking down, observing the lights on Earth at night. The populated regions of the developed world, as well as China and India, are ablaze.

Babylonians and Mayans would not have invented astronomy under a nighttime sky whitened by modern light. The loss may not only be our everyday closeness to the heavens, which we now approach instead with platforms in space. My concern is that we have scarcely begun to think about the ecological effects of nighttime illumination. Bats and night owls aren’t the only oncs affected. A large fraction of insects behave sensitively to light, and the Moon modifies the action of microbes. So we may conjecture that the global change of nighttime illumination is rippling through Earth’s ecosystems. I wonder if some of the changes experts attribute to carbon dioxide and global warming may owe more to nocturnal photons and their associates.

Now Bell, true to his name, was absorbed more by son than lumiѐre. Bell was born into a world in which noise, except clanging hammers in a blacksmith’s shop or flapping belts in a factory, was mostly natural. Had Bell placed one of his early audiometers in the Atlantic Ocean, it might have heard pattering rain, breaking waves, cracking ice, singing whales, snapping shrimp, and the occasional rumbling earthquake or marine landslide on the continental slope.

Humans added little noise to the ocean until the 1870s, when marine motors began to overtake the clipper ships that plied the China trade and the Beverly schooners that fished cod on the Scotian Shelf. In the 20th century, humanity multiplied the sounds of motors and propellers for shipping as well as the tones to detect fish and submarines, booms to explore the seafloor for oil, and the buzz of jet skis for leisure. In fact, humans are adding about three decibels more sound to the ocean each decade, roughly doubling the power of the added noise. Because sound spreads widely in the oceans, human clamor touches every corner.

As I wonder about life in a darker night, I wonder about marine life in a quieter ocean. Alexander Graham Bell left us no measurements of the sound in the sea before human additions boomed. I propose scientists, environmentalists, and maritime industries organize an International Quiet Ocean Experiment in which humans refrain from adding noise to the oceans for a few hours. Because of the speed sound spreads in sea water, we might, fortunately, need to turn down the volume globally for only four hours or so to achieve a great diminuendo. During this time researchers would observe the behavior of many forms of life in the ocean that might respond to the quiet change.

At their origins, son et lumiѐre symbolized luxury. Courts in the 17th and 18th centuries cultured festive illumination. In turn, inexpensive and thus plentiful sound and light cheered the 20th century. Forty summers ago, attending the Woodstock music festival, I enjoyed the midnight strobes flashing around the Grateful Dead and the ear-splitting purple haze of guitarist Jimi Hendrix.

But, as with many goods, humanity may have overshot. In the 21st century, I propose we widen the lens to view global change. Let us appreciate that peace with nature may involve not only choosing activities unlikely to disturb the climate but also restoring quiet and darkness. In fact, a noisy machine is an inefficient machine, as the noise is escaping energy. Cleverly engineered night-vision goggles already allow soldiers to see in the dark without floodlights or torches, and super-efficient, light-emitting diodes can offer the sparkle and safety of lamps without spilling photons that hide the true stars and disturb venerable nightlife.

While loud and glaring, the 20th century witnessed great, favorable transitions for environment. By the year 2000, some 60 countries whose forests were previously shrinking were enjoying net growth of their trees and woods. The 1912 Fernow Commission of Conservation reported that Nova Scotia’s forest resource risked exhaustion in two decades, while today forests cover a rising 77 percent of the province. Evidence suggests that even in the Congo and the Amazon a great reversal is underway from deforestation to reforestation.

The 21st century should be the century of the great restoration of nature. We have successful cooperative global scientific endeavors, such as the Census of Marine Life, that show the way. We should conceive and conduct more programs, such as an International Quiet Ocean Experiment and a Global Change and Dark Night Survey, that illuminate science while exciting humanity, with ingenuity, to restore nature.

Friday, January 8, 2010

The world's 23 toughest math questions

It sounds like a math phobic's worst nightmare or perhaps Good Will Hunting for the ages.

Those wacky folks at he the Defense Advanced Research Projects Agency have put out a research request it calls Mathematical Challenges, that has the mighty goal of "dramatically revolutionizing mathematics and thereby strengthening DoD's scientific and technological capabilities."

The challenges are in fact 23 questions that if answered, would offer a high potential for major mathematical breakthroughs, DARPA said. So if you have ever wanted to settle the Riemann Hypothesis, which I won't begin to describe but it is one of the great unanswered questions in math history, experts say. Or perhaps you've always had a theory about Dark Energy, which in a nutshell holds that the universe is ever-expanding, this may be your calling.

DARPA perhaps obviously states research grants will be awarded individually but doesn't say how much they'd be worth. The agency does say you'd need to submit your research plan by Sept. 29, 2009.

So if you're game, take your pick of the following questions and have at it.

  • The Mathematics of the Brain: Develop a mathematical theory to build a functional model of the brain that is mathematically consistent and predictive rather than merely biologically inspired.
  • The Dynamics of Networks: Develop the high-dimensional mathematics needed to accurately model and predict behavior in large-scale distributed networks that evolve over time occurring in communication, biology and the social sciences.
  • Capture and Harness Stochasticity in Nature: Address Mumford's call for new mathematics for the 21st century. Develop methods that capture persistence in stochastic environments.
  • 21st Century Fluids: Classical fluid dynamics and the Navier-Stokes Equation were extraordinarily successful in obtaining quantitative understanding of shock waves, turbulence and solitons, but new methods are needed to tackle complex fluids such as foams, suspensions, gels and liquid crystals.
  • Biological Quantum Field Theory: Quantum and statistical methods have had great success modeling virus evolution. Can such techniques be used to model more complex systems such as bacteria? Can these techniques be used to control pathogen evolution?
  • Computational Duality: Duality in mathematics has been a profound tool for theoretical understanding. Can it be extended to develop principled computational techniques where duality and geometry are the basis for novel algorithms?
  • Occam's Razor in Many Dimensions: As data collection increases can we "do more with less" by finding lower bounds for sensing complexity in systems? This is related to questions about entropy maximization algorithms.
  • Beyond Convex Optimization: Can linear algebra be replaced by algebraic geometry in a systematic way?
  • What are the Physical Consequences of Perelman's Proof of Thurston's Geometrization Theorem?: Can profound theoretical advances in understanding three dimensions be applied to construct and manipulate structures across scales to fabricate novel materials?
  • Algorithmic Origami and Biology: Build a stronger mathematical theory for isometric and rigid embedding that can give insight into protein folding.
  • Optimal Nanostructures: Develop new mathematics for constructing optimal globally symmetric structures by following simple local rules via the process of nanoscale self-assembly.
  • The Mathematics of Quantum Computing, Algorithms, and Entanglement: In the last century we learned how quantum phenomena shape our world. In the coming century we need to develop the mathematics required to control the quantum world.
  • Creating a Game Theory that Scales: What new scalable mathematics is needed to replace the traditional Partial Differential Equations (PDE) approach to differential games?
  • An Information Theory for Virus Evolution: Can Shannon's theory shed light on this fundamental area of biology?
  • The Geometry of Genome Space: What notion of distance is needed to incorporate biological utility?
  • What are the Symmetries and Action Principles for Biology?: Extend our understanding of symmetries and action principles in biology along the lines of classical thermodynamics, to include important biological concepts such as robustness, modularity, evolvability and variability.
  • Geometric Langlands and Quantum Physics: How does the Langlands program, which originated in number theory and representation theory, explain the fundamental symmetries of physics? And vice versa?
  • Arithmetic Langlands, Topology, and Geometry: What is the role of homotopy theory in the classical, geometric, and quantum Langlands programs?
  • Settle the Riemann Hypothesis: The Holy Grail of number theory.
  • Computation at Scale: How can we develop asymptotics for a world with massively many degrees of freedom?
  • Settle the Hodge Conjecture: This conjecture in algebraic geometry is a metaphor for transforming transcendental computations into algebraic ones.
  • Settle the Smooth Poincare Conjecture in Dimension 4: What are the implications for space-time and cosmology? And might the answer unlock the secret of "dark energy"?
  • What are the Fundamental Laws of Biology?: This question will remain front and center for the next 100 years. DARPA places this challenge last as finding these laws will undoubtedly require the mathematics developed in answering several of the questions listed above.