The goal of this blog is to create a list of super facts. Important facts that are true with very high certainty and yet surprising, misunderstood, or disputed by many. This blog aims to be challenging, educational, and fun, without it being clickbait. I determine veracity using evidence, data from reputable sources and longstanding scientific consensus. Prepare to be challenged (I am). Intentionally seek the truth not confirmation of your belief.
Super fact 54 : Satellites currently handle a very small percentage of global internet traffic, estimated at about 1%. The vast majority of internet traffic is carried by undersea cables.
I consider this a super fact because it is surprising, true and not trivia. It is an important fact since most of us use internet every day. It is a very common belief that satellites handle most of the global internet traffic, or at least a very large portion of it. I should say that a few years ago I thought so myself.
Stock Illustration ID: 1372134458 by Boris RabtsevichSubmarine underwater communication fiber optic cable on deep seabed. Asset id: 2175977719 by Dragon Claws
How Much Internet Traffic is Handled by Satellites
I should say that I did not find a lot of sites that answered this question, but all of the sites that I found gave similar answers such as, less than 1%, 1.5%, 1-2%, very little, etc.
I started out by asking ChatGPT this question “How much of internet communication does Satellites handle?” The answer I got was that Satellites handle a relatively small percentage of global internet traffic — typically less than 1–2% — with most of the world’s internet communication carried through undersea fiber optic cables and terrestrial infrastructure (like cell towers and wired broadband). Wikipedia states that satellites handle less than 5% – to an estimate of even 0.5%. I should add I do not rely on ChatGPT, SGE or Gemini, or Wikipedia for this blog but I take hints from them.
The reason satellite internet is used less is because satellite internet is significantly more expensive to use than traditional wired connections. In addition, satellites have higher latency (delay) compared to fiber optic cables, and less bandwidth (data capacity). Satellite internet is primarily used in remote areas where other forms of internet access are unavailable. Satellite internet is also used for military and government operations, as well as maritime and aviation connectivity. However, satellite internet is improving so this may change in the future. This is a comparison between satellite internet and optical fiber.
Photo by SpaceX on Pexels.comThis is a cross section of submarine fiber optic cable. Picture by Oona Räisänen (User:Mysid), Public domain, via Wikimedia Commons.
The layers in the picture of the submarine communications cable above are (from outside to inside): (1) Polyethylene (2) Mylar tape (3) Stranded steel wires (4) Aluminum water barrier (5) Polycarbonate (6) Copper or aluminum tube (7) Petroleum jelly (8) Optical fibers.
Super fact 53 : The Euler number denoted e, is an irrational number, which like the number pi is extremely important in mathematics. In addition, the relationship between the Euler number and pi; seemingly unrelated numbers, is quite amazing, especially if you throw the imaginary number: i = square root of -1 into the mix. Euler’s formula e^ix = cos(x) + isin(x), where x is degrees expressed in radians, is mind blowing to say the least. Radians means that 180 degrees is replaced by pi, and 90 degrees is replaced by pi/2, etc. A simpler special case, but equally amazing is Euler’s identity e^ix = -1, or e^ix + 1 =0. This is amazing math assuming you understand it.
As I said all this is amazing, mind blowing if you will, if you understand it, which is why I will try to explain it. Why I consider this a super fact is because when you first encounter the Euler number and the Euler formula, and you somewhat understand what it means, it is likely to be a mind-blowing experience. Those among you who have studied higher math, AP math classes in high school, or college level math are probably familiar with what I am about to describe, so your mind may not be blown. By the way you pronounce Euler like “Oiler”.
Euler’s formula in cyber space with grid 3d illustration, Asset id: 1636161301 by Giggle2000
Euler’s Number and Pi Two Irrational Numbers
Pi is the number you get when you divide the distance around a circle (the circumference) by the distance across the middle (the diameter). The Euler number is a bit more complicated to explain. I will do that next. Both pi and the Euler number are irrational numbers, which means that when written as a decimal, the number neither terminates nor repeats. As I mentioned, both pi and the Euler number are extremely important numbers in math. Perhaps the Euler should have its own day, just like pi has its own day (March 14). Maybe we should start celebrating Euler number day on February 7.
The first 20 decimals of pi and of the Euler number.
Exponents
Before I explain what, the Euler number is, I need to explain what an exponent is. If you multiply a number by itself x number of times, then x is the exponent. If you multiply two by itself four times 2*2*2*2, called 2 raised to 4, then 4 is the exponent. By the way the answer is 2^4 = 16 (called 2 raised to 4 is 16). I hope the illustration below will explain it.
Overview of exponents.
And finally, before explaining what the Euler number is I should also mention what a factorial is. The factorial of a number is the product of all positive integers less than or equal to that number. The factorial of 5 is denoted 5! and is 1*2*3*4*5 = 120. Also, the factorial of 0 or 0! = 1 (per definition).
Definition of the Euler Number
One more thing I need to explain before I go ahead with the definition for the Euler number is what is meant by allowing a number n in a formula to go towards infinity (limit –> infinity). Let’s say you have a formula that contains the number n. If the value of the formula does not change much as n becomes very large than it might be approaching a specific number as n approaches infinity. You say that it approaches a limit. I am trying to illustrate this in the picture below.
As the number n gets bigger the formula stops getting bigger and instead approaches a limit. When n approaches infinity that will be a very specific number. Which number do you think it is?The definition of Euler’s number plus an infinite series sum that is also the same as Euler’s number.Definition of the Euler’s constant in two different ways, Asset id: 1227561829, by benjaminec.
Euler’s Number in Calculus
As I mentioned, Euler’s number shows up in mathematics in a lot of places. It is an extremely useful number with some amazing properties and that includes calculus. However, explaining functions and calculus may be going a bit too far, so I am just going to simply state that the derivate of e^x is just e^x and the indefinite integral, or the anti-derivative of e^x is e^x. In other words, differentiation / integration does not change this function. It also means that the slope of the curve is the same as the curve itself. Among all the infinite number of functions this is only true for e^x.
Differentiation and integration does not change the function e^x.
Trigonometric Functions
Next, I would like to launch into Euler’s formula. However, before I do that, I need to explain what trigonometric functions and imaginary numbers are. The trigonometric function sin(x) is the ratio of the length of the side opposite to a given angle to the length of the hypotenuse. In other words, if the hypotenuse is equal to 1, then sin(x) is the length of the opposite side to the given angle. The trigonometric function cos(x) is the ratio of the side of the triangle adjacent to the angle divided by the hypotenuse. In other words, if the hypotenuse is equal to 1, then cos(x) is the length of the adjacent side to the given angle.
Sin and cos are always between 1 and -1. ‘x’ is often expressed in degrees going from 0 to 360 (or 0 to 90 in a right-angled triangle). However, there is another way to express angles in triangles and that is radians. In this case the number pi corresponds to 180 degrees, pi/2 corresponds to 90 degrees, pi/4 corresponds to 45 degrees, etc. Euler’s formula uses trigonometric functions, but it only works if you use pi instead of degrees. Pi and Euler’s number have a special relationship. Sin and cos are illustrated in the picture below.
Illustration of the trigonometric functions sin(x) and cos(x).
Imaginary Numbers
The last thing I need to explain before demonstrating Euler’s formula is imaginary numbers. The square root of a number is another number that, when multiplied by itself, equals the original number. For example, the square root of 4 is 2, because 2 * 2 = 4. The square root of 9 is 3, because 3 * 3 = 9. As long as you deal with real numbers, square roots must be positive numbers because you cannot multiply two numbers and get a negative number. -2 * -2 is 4, not -4.
However, that did not stop some mathematicians from making up a square root that was negative. This imaginary number is the square root of -1 and is referred to as i, yes just i, for imaginary. So, what’s the point of making up numbers that can’t exist? Well, it turned out to be quite useful and you can manipulate imaginary numbers to result in real numbers. For example, if you multiply the imaginary number i by itself i*i you get -1. If you multiply i by itself four times, in other words i^4, or i raised to 4, you get 1. Even more impressively, i raised to i, or i^i, is a real number. i^i = 0.207879… This is illustrated in the picture below.
Imaginary numbers illustrated
Eulers Formula
Without giving the proof, or any detailed explanations, below is Euler’s identity and Euler’s Formula (e^ix = cos(x) + isin(x)). Notice the mix of Euler’s number, pi, the trigonometric functions using radians (based on pi), and the imaginary number. Well, likely mind-blown, if you have not seen it already and you understood this post up to here.
Euler’s identity and Euler’s formula.Euler’s formula illustrated in the complex plane. Asset id: 2345669209 by Sasha701
If you want to see how you prove Euler’s Formula check out this youTube video.
If you want to learn more about the importance of Euler’s number in sommon and useful mathematics, check out this youTube video.
Super fact 52 : Climate change, including increased heat, extended drought, and a thirsty atmosphere, has been a key driver in increasing the risk and extent of wildfires in the United States, particularly the western United States during the last two decades. The number of Wildfire acres burned in the United States has significantly increased even though the number of wildfires has not. Another important factor is forest management.
Wildfire acres burned in the United States. Number of acres of wildfire burned in a given year in the United States. This is shown from 1983 onwards, when consistent reporting began. Data source : National Interagency Fire Center (NIFC). Presented by OurWorldinData/natural disasters.
To some people this does not come as a surprise. However, due to the complexity of the issue combined with political spin, this is a surprise to me, or even something they refuse to believe. I’ve come across many people who are surprised to hear that there really is a connection between climate change and wildfires in regions of the world which are getting dryer and hotter due to climate change. There are also others who are surprised to hear about the complex picture and the importance of good forest management. In any case, since it is a surprising fact to many, and an important fact, I consider it a super fact.
In general, you can’t look at wildfire statistics and draw conclusions without considering the context. Below are some considerations.
Wildfires are not started by climate change or poor forest management. They are started by lighting, falling powerlines, campfires that are not properly put out, and sometimes by arson. That doesn’t mean that climate change and poor forest management does not increase the risk and extent of wildfires.
Research organizations such as NOAA recognize that wildfire is a natural part of the western US ecosystem. However, climate change is significantly exacerbating the problem by creating conditions more conducive to intense and widespread wildfires.
Suppression of fire in certain ecosystems may in fact increase the likelihood that a wildfire will occur.
In the past, forests evolved with frequent, low-intensity fires that helped clear out underbrush. They can have ecological benefits. Therefore, the number of wildfires may not have increased over the last 100 years.
Local conditions and forest management have evolved through time complicating the wildfire statistics around the world.
Highly skilled hotshot firemen crew working in a challenging remote area with flames reaching the treetops. Shutter stock asset id: 2258645599 by Gorodenkoff
Fix Our Forest Act
Climate change is a huge problem that is going to take decades to tackle and the whole world needs to be involved in that effort. However, we can quickly address wildfires here in the US, especially the American West by addressing the other half of the problem, forest management. There is currently a bill in congress called the Fix Our Forest Act that does that. It streamlines and enhances forest management based on the science. In the house of representatives, it has the number H.R.471 and in the Senate it is S.1642.
I was recently in Washington DC to do volunteer lobbying for these bills. You can read about it here.
Super fact 51 : In 1968 5,033 Americans died from a drug overdose. In 1978 5,506 Americans died from a drug overdose. In 1999 16,801 Americans died from a drug overdose. In 2022 107,941 Americans died from a drug overdose. 82,000 of those deaths involved opioids (about 76%). The number of people who died from an opioid overdose in 2022 was 10 times the number in 1999. More than half of all opioid deaths in the world were Americans despite being only 4.2% of the world population. The hardest hit demographic is white males.
Note the data in the super fact above is taken from Wikipedia, which in turn took it from CDC. However, the data across multiple sources look roughly the same (CDC / CDC, NIDA/NIH, Our world in Data, Wikipedia). I think this is a super fact. I should add that the statistics seem to have improved a little bit in 2023 and 2024.
I’ve posted about good super facts in this blog several times:
However, unfortunately there are also bad super facts, like this one.
The Severe Drug Overdose Epidemic in the US is a Super Fact
We recently went to the funeral for the young son (in his 20’s) of good friends of ours. He died from a drug overdose. The same thing happened to another friend of ours not too long ago. Despite all the talk about drugs, the war of drugs, and the “just say no campaign”, in the 1980’s I don’t remember this happening to people I knew when I was young, so I looked up the statistics. I knew we had an opioid epidemic with Fentanyl being the greatest culprit followed by Heroin. I just didn’t realize how severe it was and how American it was. This is important and shocking and the sources behind the data are reliable, which is why I consider this a super fact.
The United States Has by Far the Highest Death Rate from Opioids
If you play around with this graph from Our World in Data you will notice that the United States has a very high rate of deaths from drug overdoses, especially opioids, much higher than any other country. For example, take my home country Sweden, where 283 people died from opioid in 2021 (398 all drugs, data from IHME). Compare that with the United States, where 55,452 died from opioid in 2021 (70,893 all drugs, data from IHME). Adjust that for the population in each country you get a rate of 16.3 deaths per 100,000 inhabitants for the US and 2.7 deaths per 100,000 inhabitants for the Sweden. Sweden and the US are both open wealthy democracies in which certain opioids are legal for medical purposes but otherwise illegal. The graph below has slightly different numbers but notice that the year (2024) is different.
Data source : Institute for Health Metrics and Evaluation (IHME), Global Burden of Disease (2024). The graph is taken from Our World in Data .
Some illustrative Graphics on Drug Deaths
The graphs below illustrate both the sharp rise in drug related deaths, especially opioids, as well as how hard hit the United States is compared to the rest of the world.
The population of the United States is 340 million.The population of South America is 438 millionThe population of Europe is 744 million.The population of Asia is 4,800 million.This graph shows the contribution to US deaths from specific drugs including synthetic opioids (Fentanyl), Heroin, prescription opioids, and cocaine. Notice that the vertical axis shows the death rate per 100,000 people and not the total number of deaths. Data source : US Centers for Disease Control and Prevention WONDER. Note: Opioids include prescription pain relief drugs, synthetic opioids, excluding methadone and other opioids such as heroin. The graph is taken from Our World in Data.
This is my 100th post on my Superfactful blog. There are 50 super-fact posts. The other posts are posts about the blog, like this one, or posts featuring interesting information that I think is important, or book reviews of non-fiction books, travel posts with some information, posts about me, or mysteries.
However, the goal of this blog is to create a long list of facts that are important, not trivia, and that are known to be true and yet are either disputed by large segments of the public or highly surprising or misunderstood by many, perhaps shocking. Learning or accepting such a fact will change how you view the world. This makes these facts deserving of special attention, which is why I refer to them as super facts. You can also consider the super facts as a form of myth busting, major myth busting.
As mentioned, at the time of writing this I have come up with 50 super facts and made 50 posts about those super facts, but I am hoping to come up with hundreds. I am open to suggestions for super facts as well as critique of super facts. Tell me if you think it is trivia, not important, not surprising, or not an established fact. To see the first 50 super facts click here.
Smash your old beliefs with new surprising facts, super facts. Expand your mind. Shutterstock ID: 1685660680 by MattL_Images
Deciding on What is an Important Fact
Deciding what is an important fact or not is subjective, but for the same reason it also makes it an easy thing to decide. Ultimately, I decide what is important. It is difficult to compare the importance of facts, but my main concern is to avoid trivia. I also try to avoid facts that may be important to me but do not concern others very much.
For example, I am looking for facts that people discuss a lot, or are often mentioned in the mainstream media, or facts that people dispute fiercely despite a scientific consensus and overwhelming evidence telling us what is true. I am looking for facts from science that could change people’s perspective on nature, our world, or the universe, or facts that could change people’s view of the world, that are related to important historical events, such as the deaths of millions of people, etc.
Shocking Facts
Deciding whether a fact is highly surprising, misunderstood by many, shocking, or contentious and disputed is also not an exact science. In some cases, there are polls stating how common a certain belief is amongst the public but in most cases (that I consider) I have no polls to fall back on. I just have to use my judgment. In some cases, almost everyone I’ve spoken to about the subject is misinformed, bamboozled, or they misunderstand it. In other cases, I need to decide based on my impression. I have to guess.
Super facts can be surprising, shocking, or something you refuse to believe, and yet they are true. Photo by Andrea Piacquadio on Pexels.com
Finding the Truth
As I mentioned, deciding on what is important or highly surprising is not an exact science. I think that is OK. There’s going to be super facts that are impressive and some that are less so. However, the third criteria is the one thing that I need to get right, and that is whether the fact is true or not.
We humans are not very rational, and we often believe with intense conviction things which are false. I think that is true for all of us. We don’t know what those false beliefs are, otherwise, we wouldn’t have them. However, this is where the super facts can come in handy, as tools for personal growth if we are willing to change our minds in the face of new evidence. This is easier said than done since we are emotional beings embedded in our culture, our tribal attachments and favorite myths. We have biases, we jump to conclusions, we overestimate our understanding of subjects we don’t know much about (see the Dunning Kruger effect), and we tend to believe what we want to believe. That goes for me too.
Adding to the difficulty on deciding what is true is the fact that the internet and especially social media is full of misinformation. There are an enormous amount of YouTube videos, podcasts, and websites touting false claims, conspiracy theories, and pseudo-science. There are political think tanks deceiving the public and industry funded organizations spending billions of dollars on misinformation, as well as people claiming to have special insights and superior knowledge.
I see the most ridiculous claims on Facebook and Instagram on a daily basis and the amazing thing is that people fall for it. If it supports their pre-existing beliefs or opinions, they see it as proof or conclusive evidence and they don’t take the time to question the source. When I see this, I often point out that the source is not reliable, or it may even be a satirical site, and I often add something from Snopes to my comment assuming they’ve investigated it.
Sure, when I do this, I am raining on someone’s parade, and it is quite often not welcome. No matter how politely I try to explain the situation I end up getting insulted or blocked. I should say, I’ve also fallen for fake information myself, but I try to accept it when someone points it out to me using reliable sources. The point is, we humans are really bad at deciding what is true, and we underestimate how bad at it we are, and deciding what is true is often a quite challenging task.
Before I publish a super fact, I need to be fairly certain that it is true. Outside of mathematics and logic you cannot be 100% sure about anything, but some facts we can say with very high certainty are true. For example, the earth is not flat like a pancake, the Sun is bigger than the earth, the capital of the United States is Washington DC, the heart pumps the blood, we breathe oxygen, carbon dioxide is a greenhouse gas, the light speed in vacuum is a universal constant, time dilation is real, Cesium-137 is radioactive, etc. Most likely you only know a very tiny fraction of a percentage of the facts that we know to be true with very high certainty. Some of those facts will surprise you, shock you, or are facts you would like to dispute, and I call them super facts.
Determining What Facts Are True
When I determine whether something is true with a high degree of certainty I start with my own expertise. For example, when someone claims that the second law of thermodynamics (entropy) contradict evolution I know that to be false because I have a degree in physics (master’s degree) and I’ve taken several classes in thermodynamics and statistical mechanics. In addition, I am very familiar with the faulty argumentation behind the claim because I’ve read dozens of creationist books. Yes, I was once bamboozled by creationism myself. Then I learned more about science, evolutionary biology, physics and thermodynamics.
Second law of thermodynamics Shutter Stock Vector ID: 2342031619 by Sasha701
However, my personal expertise is not enough. I also find out about scientific consensus or expert consensus and evidence from reliable sources. I should say that using scientific consensus as a reliable indicator that something is true does not fall under the “appeal to authority fallacy”. The “appeal to authority fallacy” refers to appealing to influential people or organizations who may not necessarily be experts, and regardless of the evidence. In science you don’t really have authorities, you have experts who often disagree with each other. In the event almost all experts agree on a certain fact that has been thoroughly vetted you can trust that fact with nearly 100% certainty, and that is not appeal to authority but a probability argument.
I typically select several reliable sources such as research papers published in respectable journals, national academies, government websites such as NASA, NOAA, EPA, FBI, respected research organizations such Our World in Data, Pew Research Center, and academic publications and books. I make sure that they various sites I find don’t contradict each other regarding my prospective super fact. If they all seem to agree I accept the super fact and include a few of the links in my post.
If I don’t have much personal expertise on a subject I start out by asking Google AI. I don’t ask ChatGPT because I believe it is less reliable with respect to information. Then I check Wikipedia and or another online encyclopedia such as encyclopedia Britannica. This is not to establish the truth but to get an idea. Wikipedia is not an academically acceptable source, but it is rarely wrong and serves as a good first filter to save time. Then I start focusing on the reliable sources above and I will make sure I understand the evidence.
So, in summary I will use my expertise, scientific consensus, reliable sources and better, agreement between reliable sources, to determine if I can say with confidence that something is true. I will also frequently include links from Wikipedia in my posts because Wikipedia typically feature good summaries that are easy to understand. Naturally, anyone is free to dispute any of my super facts. Just make sure you provide good evidence from an arguably reliable source, or I cannot take it seriously.
Fact or myth. Shutterstock Asset id: 2327968607
Sources I will not consider are claims from unreliable sources, political think tanks, talk show hosts, politicians, articles written by contrarians heavily funded by industry or political organizations, and random Reels or YouTube videos, and I will not entertain conspiracy theories for my purposes. Also, I will ignore, articles with click bait titles, sources making claims about a great swindle by the scientific community, articles claiming everyone is lying to you, articles purporting to reveal the hidden truth, articles insisting on presenting the truth that “they”/the-others won’t tell you, etc. Cults will tell you that everyone else is lying to you. I’ve learned not to fall for it at this point.
My Super Fact List
Finally, here are a few examples of my super facts.
Super Facts 