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‘Big Bang of Numbers’ – The Conversation’s book club explores how math alone could create the universe with author Manil Suri

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‘Big Bang of Numbers’ – The Conversation’s book club explores how math alone could create the universe with author Manil Suri

Fractals emerge on Day 4 of Suri’s playful Genesis-inspired narrative about math’s role in creation.
oxygen/Moment via Getty Images

Maggie Villiger, The Conversation

The Conversation U.S. launched its new book club with a bang – talking to mathematician Manil Suri about his nonfiction work “The Big Bang of Numbers: How to Build the Universe Using Only Math.” Suri, a previous author in The Conversation, has also written an award-winning fiction trilogy, in addition to being a professor of mathematics and statistics at the University of Maryland, Baltimore County.

Below is an edited excerpt from the book club discussion. You’re welcome to keep the conversation flowing by adding your own questions for Suri to the comments.

Watch the full book club meeting and leave your own question in the comments at the bottom of this article.

What is the Big Bang of numbers and where do you go from there in the book?

I think the story for me started way back when I was an undergraduate in Bombay. My algebra professor told us this very famous saying by Leopold Kronecker, the famous mathematician, that God gave us the integers and all the rest is the work of human beings. What he meant was that once you have the whole numbers – 1, 2, 3, 4 – which are somehow coming from heaven, then you can build up the rest of mathematics from it.

And then he went on and said, Hey, I can actually do better. I don’t need God. I can actually, as a mathematician, create the numbers out of nothing. And he showed us this marvelous, almost magic trick, where you start with something called the empty set and then you start building the numbers.

It was the closest I’ve been to a religious experience, almost like the walls just dissolved and suddenly there were numbers everywhere.

Once I started writing my novels, I was meeting a lot of people who were artists and writers. And they would always say, you know, we used to love math when we were in school, but afterward we never had a chance to really pursue it. And can you tell us something about your mathematics?

So, I started building a kind of talk, which started with this big bang, as I call it, building the numbers out of nothing. I finally decided I should write a math book, and it would be aimed at a wide audience.

black and white photo of a sea shell with light triangles of various sizes
Patterns in nature, like the triangles on this shell, can be explained by simple mathematical rules.
Larry Cole

And I said, well, can you go further? You can create the numbers, but can you actually start building everything, including the whole universe from that? So that was a way to try to lay out mathematics almost as a story where one thing follows from the other and everything is embedded in one narrative.

Who were you imagining to be your readers as you were writing the book?

There’s just so much joy to be had out of mathematics, so many things that you don’t really see in normal courses where the emphasis is always on doing the calculations, finding the right answer. So this book is written for people who want to really engage with mathematics on the level of ideas rather than get into computations and calculations.

After you set off your Big Bang of numbers, you dig in to some of life’s big questions. What do you see as math’s role in grappling with those big thoughts, like where the universe came from, why we even exist and so on?

Once you start talking about the Big Bang, what comes into your mind is creation. There is a doctrine called creatio ex nihilo, which is basically creating everything out of nothing.

That’s a cornerstone of many religions where God creates the universe out of nothing. It’s also in some sense being explored by physicists, where you have some sort of singularity and from that, everything emerges in the Big Bang.

So my thought was, both these areas, religion and physics, are in the public’s imagination much more than mathematics is. Is there a way to posit math as the creative force of everything?

Physicist Eugene Wigner, who was a Nobel laureate, talked about the “unreasonable effectiveness” of mathematics at describing everything in our physical universe. It’s so good at modeling physics and what have you. Could it be that math is really the true driving force of the universe? Rather than us just inventing it and using it to describe the universe, could the universe really be describing mathematics? Then the universe is just a physical manifestation, an approximation, if you will, of those mathematical ideas. It’s a completely different view of math.

There’s an ongoing debate over whether math is something that people invented or whether it’s something that exists independently of us. In the book, you say that perhaps the deepest insight that math can offer us is that it’s both of those things.

So the glib answer to your question whether math’s invented or discovered is that you have to create a new word. Instead of discovered or invented it’s “disvented.”

What I mean by that is simply that there are some questions we really can’t get to any kind of logical or supportable answer. One is the question of our own existence – people might believe one thing or the other, but it always comes down to: Is there some real purpose to our lives, or is our creation just something that happened randomly – you know, molecules getting together?

silhouette of a head with lots of math notations exploding out
Is math something that is born from the human mind?
‘The Big Bang of Numbers’

Now if we invent mathematics, then we’re inventing it for a purpose. If it just generates by itself, starting with emptiness, building around numbers in some strange realm that we don’t know about, then it’s just wafting around, purposeless.

Math has that duality that can’t be resolved. So it’s a metaphor, telling us, hey, you can’t decide for math, and you’ll never be able to decide for yourself about your own existence.

Can you tell us a bit about your previous books, the Indian novels?

The first one was called “The Death of Vishnu.” I went back to visit my parents in Mumbai in around 1995, and this man Vishnu, who used to live in our building and do errands, was dying on our steps. I started writing this as a short story.

It started going into a more philosophical realm when a writing teacher said, you know, Vishnu is also the name of the caretaker of the universe in Hindu mythology. So if you name somebody Vishnu, you need to somehow explore that. So that’s what opened up this whole new world for me.

The second book was “The Age of Shiva.” That one’s the journey of a woman right after India’s independence in 1947. She’s making her way in a very male-dominated world, and she’s not perfect.

Then the third one, I decided, OK, I need to put in some science and math characters. So “The City of Devi” actually has both a physicist and a statistician. Again it’s in Mumbai, set in the future with the threat of a nuclear war with Pakistan and a love triangle unfolding in front of that.

It’s kind of interesting. I thought that I was done with this mythical “where do we come from?” kind of philosophy that I had in the three books, but apparently not, because now “The Big Bang of Numbers” looks at it from a mathematical perspective.The Conversation

Maggie Villiger, Senior Science + Technology Editor, The Conversation

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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Wildfire smoke’s health risks can linger long-term in homes that escape burning

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theconversation.com – Colleen E. Reid, Associate Professor of Geography, University of Colorado Boulder – 2024-12-23 11:00:00

The Marshall Fire spared some homes, shown here a day later, but smoke had blanketed the area.

Andy Cross/MediaNews Group/The Denver Post via Getty Images

Colleen E. Reid, University of Colorado Boulder

Three years ago, on Dec. 30, 2021, a wind-driven wildfire raced through two communities just outside Boulder, Colorado. In the span of about eight hours, more than 1,000 homes and businesses burned.

The fire left entire blocks in ash, but among them, pockets of houses survived, seemingly untouched. The owners of these homes may have felt relief at first. But fire damage can be deceiving, as many soon discovered.

When wildfires like the Marshall Fire reach the wildland-urban interface, they are burning both vegetation and human-made materials. Vehicles and buildings burn, along with all of the things inside them – electronics, paint, plastics, furniture.

Research shows that when human-made materials like these burn, the chemicals released are different from what is emitted when just vegetation burns. The smoke and ash can blow under doors and around windows in nearby homes, bringing in chemicals that stick to walls and other indoor surfaces and continue off-gassing for weeks to months, particularly in warmer temperatures.

An aerial view of burned neighborhoods with a few houses standing among burned lots and at the edges of the fire area.

The Marshall Fire swept through several neighborhoods in the towns of Louisville and Superior, Colo. In the homes that were left standing, residents dealt with lingering smoke and ash in their homes.

Michael Ciaglo/Getty Images

In a new study, my colleagues and I looked at the health effects people experienced when they returned to still-standing homes after the Marshall Fire. We also created a checklist for people to use after urban wildfires in the future to help them protect their health and reduce their risks when they return to smoke-damaged homes.

Tests in homes found elevated metals and VOCs

In the days after the Marshall Fire, residents quickly reached out to nearby scientists who study wildfire smoke and health risks at the University of Colorado Boulder and area labs. People wanted to know what was in the ash and causing the lingering smells inside their homes.

In homes we were able to test, my colleagues found elevated levels of metals and PAHs – polycyclic aromatic hydrocarbons – in the ash. We also found elevated VOCs – volatile organic compounds – in airborne samples. Some VOCs, such as dioxins, benzene, formaldehyde and PAHs, can be toxic to humans. Benzene is a known carcinogen.

People wanted to know whether the chemicals that got into their homes that day could harm their health.

At the time, we could find no information about physical health implications for people who have returned to smoke-damaged homes after a wildfire. To look for patterns, we surveyed residents affected by the fire six months, one year and two years afterward.

Symptoms 6 months after the fire

Even six months after the fire, we found that many people were reporting symptoms that aligned with health risks related to smoke and ash from fires.

More than half (55%) of the people who responded to our survey reported that they were experiencing at least one symptom six months after the blaze that they attributed to the Marshall Fire. The most common symptoms reported were itchy or watery eyes (33%), headache (30%), dry cough (27%), sneezing (26%) and sore throat (23%).

All of these symptoms, as well as having a strange taste in one’s mouth, were associated with people reporting that their home smelled differently when they returned to it one week after the fire.

Many survey respondents said that the smells decreased over time. Most attributed the improvement in smell to the passage of time, cleaning surfaces and air ducts, replacing furnace filters, and removing carpet, textiles and furniture from the home. Despite this, many still had symptoms.

We found that living near a large number of burned structures was associated with these health symptoms. For every 10 additional destroyed buildings within 820 feet (250 meters) of a person’s home, there was a 21% increase in headaches and a 26% increase in having a strange taste in their mouth.

These symptoms align with what could be expected from exposure to the chemicals that we found in the ash and measured in the air inside the few smoke-damaged homes that we were able to study in depth.

Lingering symptoms and questions

There are a still a lot of unanswered questions about the health risks from smoke- and ash-damaged homes.

For example, we don’t yet know what long-term health implications might look like for people living with lingering gases from wildfire smoke and ash in a home.

We found a significant decline in the number of people reporting symptoms one year after the fire. However, 33% percent of the people whose homes were affected still reported at least one symptom that they attributed to the fire. About the same percentage also reported at least one symptom two years after the fire.

We also could not measure the level of VOCs or metals that each person was exposed to. But we do think that reports of a change in the smell of a person’s home one week after the fire demonstrates the likely presence of VOCs in the home. That has health implications for people whose homes are exposed to smoke or ash from a wildfire.

Tips to protect yourself after future wildfires

Wildfires are increasingly burning homes and other structures as more people move into the wildland-urban interface, temperatures rise and fire seasons lengthen.

It can be confusing to know what to do if your home is one that survives a wildfire nearby. To help, my colleagues and I put together a website of steps to take if your home is ever infiltrated by smoke or ash from a wildfire.

Here are a few of those steps:

  • When you’re ready to clean your home, start by protecting yourself. Wear at least an N95 (or KN95) mask and gloves, goggles and clothing that covers your skin.

  • Vacuum floors, drapes and furniture. But avoid harsh chemical cleaners because they can react with the chemicals in the ash.

  • Clean your HVAC filter and ducts to avoid spreading ash further. Portable air cleaners with carbon filters can help remove VOCs.

A recent scientific study documents how cleaning all surfaces within a home can reduce reservoirs of VOCs and lower indoor air concentrations of VOCs.

Given that we don’t know much yet about the health harms of smoke- and ash-damaged homes, it is important to take care in how you clean so you can do the most to protect your health.The Conversation

Colleen E. Reid, Associate Professor of Geography, University of Colorado Boulder

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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In Disney’s ‘Moana,’ the characters navigate using the stars, just like real Polynesian explorers − an astronomer explains how these methods work

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theconversation.com – Christopher Palma, Teaching Professor, Department of Astronomy & Astrophysics, Penn State – 2024-12-20 07:17:00

Wayfarers around the world have used the stars to navigate the sea.
Wirestock/iStock via Getty Images Plus

Christopher Palma, Penn State

If you have visited an island like one of the Hawaiian Islands, Tahiti or Easter Island, also known as Rapa Nui, you may have noticed how small these land masses appear against the vast Pacific Ocean. If you’re on Hawaii, the nearest island to you is more than 1,000 miles (1,600 kilometers) away, and the coast of the continental United States is more than 2,000 miles (3,200 kilometers) away. To say these islands are secluded is an understatement.

For me, watching the movie “Moana” in 2016 was eye-opening. I knew that Polynesian people traveled between a number of Pacific islands, but seeing Moana set sail on a canoe made me realize exactly how small those boats are compared with what must have seemed like an endless ocean. Yet our fictional hero went on this journey anyway, like the countless real-life Polynesian voyagers upon which she is based.

Oceania as shown from the ISS
Islands in Polynesia can be thousands of miles apart.
NASA

As an astronomer, I have been teaching college students and visitors to our planetarium how to find stars in our sky for more than 20 years. As part of teaching appreciation for the beauty of the sky and the stars, I want to help people understand that if you know the stars well, you can never get lost.

U.S. Navy veterans learned the stars in their navigation courses, and European cultures used the stars to navigate, but the techniques of Polynesian wayfinding shown in Moana brought these ideas to a very wide audience.

The movie Moana gave me a new hook – pun not intended – for my planetarium shows and lessons on how to locate objects in the night sky. With “Moana 2” out now, I am excited to see even more astronomy on the big screen and to figure out how I can build new lessons using the ideas in the movie.

The North Star

Have you ever found the North Star, Polaris, in your sky? I try to spot it every time I am out observing, and I teach visitors at my shows to use the “pointer stars” in the bowl of the Big Dipper to find it. These two stars in the Big Dipper point you directly to Polaris.

If you are facing Polaris, then you know you are facing north. Polaris is special because it is almost directly above Earth’s North Pole, and so everyone north of the equator can see it year-round in exactly the same spot in their sky.

It’s a key star for navigation because if you measure its height above your horizon, that tells you how far you are north of Earth’s equator. For the large number of people who live near 40 degrees north of the equator, you will see Polaris about 40 degrees above your horizon.

If you live in northern Canada, Polaris will appear higher in your sky, and if you live closer to the equator, Polaris will appear closer to the horizon. The other stars and constellations come and go with the seasons, though, so what you see opposite Polaris in the sky will change every month.

Look for the Big Dipper to find the North Star, Polaris.

You can use all of the stars to navigate, but to do that you need to know where to find them on every night of the year and at every hour of the night. So, navigating with stars other than Polaris is more complicated to learn.

Maui’s fishhook

At the end of June, around 11 p.m., a bright red star might catch your eye if you look directly opposite from Polaris. This is the star Antares, and it is the brightest star in the constellation Scorpius, the Scorpion.

If you are a “Moana” fan like me and the others in my family, though, you may know this group of stars by a different name – Maui’s fishhook.

If you are in the Northern Hemisphere, Scorpius may not fully appear above your horizon, but if you are on a Polynesian island, you should see all of the constellation rising in the southeast, hitting its highest point in the sky when it is due south, and setting in the southwest.

Astronomers and navigators can measure latitude using the height of the stars, which Maui and Moana did in the movie using their hands as measuring tools.

The easiest way to do this is to figure out how high Polaris is above your horizon. If you can’t see it at all, you must be south of the equator, but if you see Polaris 5 degrees (the width of three fingers at arm’s length) or 10 degrees above your horizon (the width of your full fist held at arm’s length), then you are 5 degrees or 10 degrees north of the equator.

The other stars, like those in Maui’s fishhook, will appear to rise, set and hit their highest point at different locations in the sky depending on where you are on the Earth.

Polynesian navigators memorized where these stars would appear in the sky from the different islands they sailed between, and so by looking for those stars in the sky at night, they could determine which direction to sail and for how long to travel across the ocean.

Today, most people just pull out their phones and use the built-in GPS as a guide. Ever since “Moana” was in theaters, I see a completely different reaction to my planetarium talks about using the stars for navigation. By accurately showing how Polynesian navigators used the stars to sail across the ocean, Moana helps even those of us who have never sailed at night to understand the methods of celestial navigation.

The first “Moana” movie came out when my son was 3 years old, and he took an instant liking to the songs, the story and the scenery. There are many jokes about parents who dread having to watch a child’s favorite over and over again, but in my case, I fell in love with the movie too.

Since then, I have wanted to thank the storytellers who made this movie for being so careful to show the astronomy of navigation correctly. I also appreciated that they showed how Polynesian voyagers used the stars and other clues, such as ocean currents, to sail across the huge Pacific Ocean and land safely on a very small island thousands of miles from their home.The Conversation

Christopher Palma, Teaching Professor, Department of Astronomy & Astrophysics, Penn State

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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Listening for the right radio signals could be an effective way to track small drones

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theconversation.com – Iain Boyd, Director of the Center for National Security Initiatives and Professor of Aerospace Engineering Sciences, University of Colorado Boulder – 2024-12-17 17:28:00

Small drones can be hard to track at night.
Kevin Carter/Getty Images

Iain Boyd, University of Colorado Boulder

The recent spate of unidentified drone sightings in the U.S., including some near sensitive locations such as airports and military installations, has caused significant public concern.

Some of this recent increase in activity may be related to a September 2023 change in U.S. Federal Aviation Administration regulations that now allow drone operators to fly at night. But most of the sightings are likely airplanes or helicopters rather than drones.

The inability of the U.S. government to definitively identify the aircraft in the recent incidents, however, has some people wondering, why can’t they?

I am an engineer who studies defense systems. I see radio frequency sensors as a promising approach to detecting, tracking and identifying drones, not least because drone detectors based on the technology are already available. But I also see challenges to using the detectors to comprehensively spot drones flying over American communities.

How drones are controlled

Operators communicate with drones from a distance using radio frequency signals. Radio frequency signals are widely used in everyday life such as in garage door openers, car key fobs and, of course, radios. Because the radio spectrum is used for so many different purposes, it is carefully regulated by the Federal Communications Commission.

Drone communications are only allowed in narrow bands around specific frequencies such as at 5 gigahertz. Each make and model of a drone uses unique communication protocols coded within the radio frequency signals to interpret instructions from an operator and to send data back to them. In this way, a drone pilot can instruct the drone to execute a flight maneuver, and the drone can inform the pilot where it is and how fast it is flying.

Identifying drones by radio signals

Radio frequency sensors can listen in to the well-known drone frequencies to detect communication protocols that are specific to each particular drone model. In a sense, these radio frequency signals represent a unique fingerprint of each type of drone.

In the best-case scenario, authorities can use the radio frequency signals to determine the drone’s location, range, speed and flight direction. These radio frequency devices are called passive sensors because they simply listen out for and receive signals without taking any active steps. The typical range limit for detecting signals is about 3 miles (4.8 kilometers) from the source.

These sensors do not represent advanced technology, and they are readily available. So, why haven’t authorities made wider use of them?

Drones were all the buzz in the Northeast at the end of 2024.

Challenges to using radio frequency sensors

While the monitoring of radio frequency signals is a promising approach to detecting and identifying drones, there are several challenges to doing so.

First, it’s only possible for a sensor to obtain detailed information on drones that the sensor knows the communication protocols for. Getting sensors that can detect a wide range of drones will require coordination between all drone manufacturers and some central registration entity.

In the absence of information that makes it possible to decode the radio frequency signals, all that can be inferred about a drone is a rough idea of its location and direction. This situation can be improved by deploying multiple sensors and coordinating their information.

Second, the detection approach works best in “quiet” radio frequency environments where there are no buildings, machinery or people. It’s not easy to confidently attribute the unique source of a radio frequency signal in urban settings and other cluttered environments. Radio frequency signals bounce off all solid surfaces, making it difficult to be sure where the original signal came from. Again, the use of multiple sensors around a particular location, and careful placement of those sensors, can help to alleviate this issue.

Third, a major part of the concern over the inability to detect and identify drones is that they may be operated by criminals or terrorists. If drone operators with malicious intent know that an area targeted for a drone operation is being monitored by radio frequency sensors, they may develop effective countermeasures. For example, they may use signal frequencies that lie outside the FCC-regulated parameters, and communication protocols that have not been registered. An even more effective countermeasure is to preprogram the flight path of a drone to completely avoid the use of any radio frequency communications between the operator and the drone.

Finally, widespread deployment of radio frequency sensors for tracking drones would be logistically complicated and financially expensive. There are likely thousands of locations in the U.S. alone that might require protection from hostile drone attacks. The cost of deploying a fully effective drone detection system would be significant.

There are other means of detecting drones, including radar systems and networks of acoustic sensors, which listen for the unique sounds drones generate. But radar systems are relatively expensive, and acoustic drone detection is a new technology.

The way forward

It was almost guaranteed that at some point the problem of unidentified drones would arise. People are operating drones more and more in regions of the airspace that have previously been very sparsely populated.

Perhaps the recent concerns over drone sightings are a wake-up call. The airspace is only going to become much more congested in the coming years as more consumers buy drones, drones are used for more commercial purposes, and air-taxis come into use. There’s only so much that drone detection technologies can do, and it might become necessary for the FAA to tighten regulation of the nation’s airspace by, for example, requiring drone operators to submit detailed flight plans.

In the meantime, don’t be too quick to assume those blinking lights you see in the night sky are drones.The Conversation

Iain Boyd, Director of the Center for National Security Initiatives and Professor of Aerospace Engineering Sciences, University of Colorado Boulder

This article is republished from The Conversation under a Creative Commons license. Read the original article.

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