Interdependent Factors in Statistics

Interdependent Factors in Statistics and BMWs
BMW Z4 Cars

Yesterday, we considered the wise saying, “Figures don’t lie, but liars figure.” We said that one problem with statistical arguments is that they often don’t include all the variables. A second problem with statistical arguments is that they don’t ensure that all of their variables are independent. Therefore, we must consider the interdependent factors.

For a trivial example, let’s suppose I ask, “What are the odds that I will buy my grandson a BMW for his birthday?” The first question we should ask is, “Is he old enough to drive?” A second question might be, “Can he get insurance?” A third variable would be, “Do I have enough money to buy the car?” Finally, a fourth variable might be, “Would he be happy with a used BMW?”

Since I love my grandson, I might say that the odds of me buying a car for him are 100%. However, as we consider each of those variables (plus many more), the probability becomes less. Are these variables independent, or are they interdependent factors? If he is not old enough to drive, he is also not old enough to get insurance. The probability of him being able to drive and being able to get insurance are not independent because both depend on his age. His being happy with a used BMW is not independent of my having enough money to buy a new one.

If we look at the question of life on Mars, we might be inclined to say that the odds are very high that life does exist on that planet. It has a mass similar to Earth. Mars has an atmosphere, volcanic eruptions, and water. Mars is tilted on its axis, it has a magnetic field, and the length of a day is roughly 24 hours. Are all of these variables independent? The answer is no because if the planet has volcanic eruptions, it will have an atmosphere, and volcanic eruptions always involve some amount of water. Both the water and the atmosphere are interdependent factors that depend upon volcanic eruptions.

The tricky part of this subject for both believers and atheists is knowing what is dependent and what is independent. As our knowledge of a topic improves, we are likely to find more dependent factors. For example, we recently discussed the importance of hydroxyl radicals in cleaning Earth’s atmosphere of pollutants. What are the odds of hydroxyl radicals being in a planet’s atmosphere? What may appear to be a separate and independent variable is the presence of lightning. Science has known for a long time that lightning helps produce nitrates which are essential for plant growth. In June of 2021, scientists announced a recent discovery that lightning produces hydroxyl radicals. Any planet that has lightning will have hydroxyl radicals, so the presence of hydroxyl radicals is not independent but is dependent on lightning.

This discussion has practical value in today’s world. Yesterday we said that we would examine some other statistical issues involving God’s existence. Think about this. Considering the millions of interdependent factors that must be in place to allow us to exist, could they all have come together by chance? Consider it on various levels—the creation of a universe from nothing—the creation of a life-supporting planet—the creation of the first life from inert matter—the creation of advanced life. We could go on. But considering all of the interdependent factors at each level, is it more logical to assume they came together by mere chance or guided by an intelligent Designer?

— John N Clayton © 2021

K2-141b Is Not Another Earth

K2-141b Is Not Another Earth

In their desperate attempt to find an inhabited planet, some media people have jumped to the conclusion that any planet close to 8000 miles (13,000 km) in diameter will be inhabited. One of the candidates orbiting a star in our galaxy is called K2-141b, and it is reasonably close to us in size and location, a little under 200 light-years away. However, K2-141b is not another Earth.

Astronomers have discovered that its atmosphere has all the elemental components of rocks. That has to mean that the surface temperature of the planet is hot enough to vaporize rocks. That would be more than 5400 degrees Fahrenheit (3,000 C). K2-141b is not another Earth.

At this time, when people are concerned about global warming, we must consider how many factors on Earth and the surrounding area give use the proper temperature for life to exist. Without the variables that keep our planet cool, we could not have a surface temperature of less than 212 degrees Fahrenheit (100 C). The size, temperature, and activity of the Sun have to be just right. The amount of ocean surface that reflects solar heat back into space is crucial. The factors that restrict greenhouse gases, the relatively low value of volcanic activity, the lack of exothermic chemical reactions, the reflectivity of clouds, and many other factors all influence our temperature.

Even though K2-141b is not another Earth, there may be other planets with conditions that permit surface temperatures between 0 and 100 degrees Celsius, allowing liquid water. But evidence shows that such planets are rare, and their design would be from the same source as our planet. If God has created life elsewhere on a planet that will allow life to exist over the long haul, it will be another demonstration of incredible wisdom and design. Our planet is exceptional, and taking care of it should be a high priority for all of us.

— John N. Clayton © 2021

Reference: Astronomy magazine, March 2021, page 9.

Could There Be Life on Other Planets

Could there be life on other planets?

A subject that keeps drawing attention is the question of whether we are alone in the universe or could there be life on other planets. Many people seem to feel that this is a religious issue. They assume if science discovers life on another planet, it will discredit the Bible in some way. This has led some religious writers to try to prove that life exists nowhere but on the Earth.

Discover magazine devotes much of the December issue to the question, “Could there be life on other planets?” The cover picture shows the parabolic reflector of a large radio telescope with the heading “Are We Alone?

It is essential to understand that this is NOT a religious issue, and the search for life in space has no biblical implications. The Genesis account describes Earth’s history and gives no discussion of any other planets in the cosmos. A careful scientific study of the requirements for life to emerge from non-life shows complexity beyond the reach of any chance process. If there is life elsewhere, God created it.

Why would God do that? Why do all of the other stars and their planets and galaxies exist? God has not limited humans to where we can travel. It may be that in the distant future, humans will live somewhere else in space. It may be that natural resources on Earth will eventually run out, and we will need to secure those resources in space. The biblical message is intended for this planet (Mark 16:15), but the language does not exclude a relationship between God and any creature. For example, Hebrews 4:13 says, “There is not a creature that exists that is hidden from him.”

This discussion reminds me of a radio debate I had in Washington, D.C., with Larry King as the moderator. My opponent was a leader of the atheist group in Washington, and people could call in questions for the two of us to answer. A caller asked, “What would you do if a spaceship landed on the White House lawn, an alien got out with a Bible in his hand and said ‘Has Jesus been here yet?’” My atheist friend said, “Punt.” In reality, that proposal would raise many other questions, but the point is that life in space is not a biblical issue.

The Discover article runs through many familiar suggestions. One popular proposal says that we don’t see alien-inhabited planets because they have built a sphere around their solar system, trapping all energy and making it impossible to see them. Called a Dyson sphere, it demands a level of sophistication that is hard to imagine. Another popular suggestion is that aliens camouflage their space ships to look like asteroids. We saw that idea suggested recently when an asteroid called Oumuamua came through our solar system from outer space.

Aliens capable of building such technological wonders would not need to camouflage since they would have better ways to protect themselves. There are some newer and wilder proposals, but the question, “Could there be life on other planets?” is not a biblical issue. If life is out there, it is so far away that it is unlikely to be a threat to our planet in the near future.

— John N. Clayton © 2020

Look Through a Telescope

Look Through a Telescope

Modern technology has given all of us a chance to look through a telescope and see what is in outer space. In the “old days” the only people that could look outside our solar system were astronomers who had access to powerful telescopes. Now all of us can look out and see what lies beyond our solar system without buying a telescope because the pictures are available to us on the web. If you go to apod.nasa.gov you can see pictures taken through the world’s largest telescopes. The picture for August 7, 2020, is of the Pipe Nebula. As I stare at the picture, I am awestruck by the number of stars in the cosmos.

Why are there so many? Why is the cosmos so big? If you believe that God created it all, why did He create billions of stars in billions of galaxies? If Earth is the only place with life, why are there other planets, other stars, other solar systems? Why is space full of matter like the Pipe Nebula? Obviously no one knows the answers to all these questions. Anyone who gives a dogmatic answer that invalidates the existence of God is claiming to have more knowledge than the rest of us. Those who claim the pictures are fakes or artistic works have not taken the trouble to go to an observatory and look through a telescope. Most observatories have arrangements that allow the general public to do that. We have no excuse for doubting the credibility of the pictures.

Whether you are an atheist or a religious fundamentalist, your viewpoint makes massive assumptions. Here are a few things you should know, that may make you uncomfortable:

No observation made has ever challenged the basic biblical claim that there was a beginning and that it was caused. You can argue about what the cause was, but attempting to deny that there was a beginning, puts you at odds with the observations and the laws of physics–even at a quantum level.

There is no support for the assumption that planet Earth is the only place in the universe where life exists. If there is life elsewhere, God created it, and the Bible does not say the Earth is the only place where God created life. However, the distances are so huge that we will never know if this is the only place–at least not in our lifetimes. Many years ago, I debated an atheist on a talk show with Larry King. A listener called in and asked the atheist and me “What would you two do if a space ship landed in plain sight and a little green man got out and asked, ‘Has Jesus been here yet?’” That raises all kinds of issues, but it makes the point. By the way, the atheist’s answer was, “Punt.”

As we look through a telescope we are looking into the distant past light-years ago. No one knows what the distant future holds. Could it be that God wants humans to colonize the cosmos? Perhaps our vision of God’s kingdom is too small. Every time I look at one of those pictures of star fields or look through a telescope, I am reminded of Psalms 8:3-4 “When I consider the heavens, the work of your fingers, the moon and the stars which you have ordained: What is man, that you are mindful of him?”

— John N. Clayton © 2020

Wandering Stars in the Sky

"Wandering Stars" in the Sky

The ancient Greeks saw the five visible planets and called them “wandering stars” because they moved randomly across the sky instead of staying in fixed positions like the stars. The word “planet” comes from the Greek word for “wanderer.”

We have known for many centuries that the planets are not stars. They appear to wander because they orbit the Sun, just like our planet Earth. They orbit at different speeds, making them appear to wander in the sky. For astronomers to classify a celestial body as a planet, it must meet three requirements:

  1. It must have enough mass for gravity to cause it to become spherical, unlike an asteroid.
  2. It must not have enough mass to cause thermonuclear fusion, which would make it a star.
  3. It must have cleared the area of debris known as planetesimals.

We have five planets that are visible without the aid of telescopes or even binoculars. Two of the visible planets are called inferior planets, not because of importance but because their orbit is inside Earth’s orbit. They are Mercury and Venus. The other three are known as the superior planets since they are beyond Earth’s orbit. They are Mars, Jupiter, and Saturn.

There is one essential thing the ancient Greeks did not understand about the solar system. They did not know that it is orderly. The Greeks saw a pantheon of gods controlling various aspects of the Earth and skies. Each of their gods had all of the bad traits of humans struggling with each other. It was the Judeo-Christian concept of one almighty and wise creator God who created an orderly system that led to the scientific understanding of the cosmos.

Today, we can study and understand the wisdom of God in creation. Because of that, we can know where the planets and stars, as well as solar and lunar eclipses, will be visible at any given time and from any location on Earth. Those “wandering stars” are not wandering after all.

— Roland Earnst © 2020

What the Mercury Transit Tells Us

What the Mercury Transit Tells UsAbove is a photo of the Sun. If you look closely, you will see a small dot in the upper half near the right side. That is the planet Mercury, the closest planet to our Sun. Mercury made what astronomers call a “transit” of the Sun on Monday morning, November 11, 2019. In our area of the country, the sky was overcast, and it was snowing. However, Bill Ingalls of NASA took this photograph from his location in Arlington, Virginia. I find it interesting to consider what the Mercury Transit tells us.

What’s so special about Mercury passing in front of the Sun? For one thing, it doesn’t happen very often. Although the last time was only three years ago, the next time will be in 2032, but it won’t be visible from North America. The next Mercury transit visible in North America will be in 2049. Since Mercury is closer to the Sun, it passes between the Sun and us every 116 days. However, most of the time, it is either above or below the Sun from our view, and Earth’s atmosphere makes it invisible in the daylight.

Scientists used precision telescopes and equipment to study the transit. They can learn more about the atmosphere of Mercury as it is silhouetted against the Sun. Historically Sir Edmund Halley (1656-1742) watched a transit of Mercury and realized that it could be used to measure the distance between the Earth and the Sun. It occurred to him that a transiting planet would appear in different positions to viewers in different locations on Earth. Measuring the apparent shift between two distant Earth locations at the same time and applying a little math, one could calculate the distance to the Sun. In 1769, after Halley’s death, astronomers used a transit of Venus to calculate the Earth-Sun distance.

Think about what the Mercury transit tells us without even seeing it? Because of the fact that astronomers can know in advance the exact date and time of a transit of Mercury (or Venus), or a solar eclipse (when the Moon passes between Earth and Sun) we realize that the solar system is orderly. We can study the heavens and learn of the Creator. We can see His wisdom and design of our planet and the solar system in which it exists. We can know there is a God by the things He has made (Romans 1:20) as the heavens declare His glory (Psalms 19:1).
— Roland Earnst © 2019

Moon Record in the Solar System

Moon Record in the Solar SystemThe solar system record for the largest number of moons has just been taken over by Saturn. Previously Jupiter was the record holder with 79. Now the moon record in the solar system goes to Saturn with 82!

Astronomers used some of the world’s largest telescopes, including the Subaru Telescope in Hawaii to make the recent discoveries. The same team led by Scott Sheppard of the Carnegie Institution for Science in Washington, D.C., discovered 12 previously unknown moons around Jupiter last year. Now they have helped Saturn pull ahead of the competition.

Here we are living on a planet with only one Moon. Should we feel disadvantaged? Not at all! Imagine how confusing it would be to live on a planet with 82 moons. Seriously, one is enough. That is especially true when we have one Moon that is just right. We have pointed out before how precisely well-designed and well-placed our lone Moon is. Here are a few reminders with links to get more information:

Our Moon…
…has just the right mass to stabilize Earth’s rotational tilt.
…is just the right distance from Earth to create beneficial ocean tides.
…is just the right size to create total solar eclipses, which have helped us to learn more about the Sun.
…works with the Sun and stars to “mark seasons and days and years” (Genesis 1:14)
…reflects the light of the Sun to give a night light essential for many forms of life.

Those are a few of the reasons our Moon is the best one in the whole solar system! We asked before, “How many moons are enough?” Even though the number of known moons orbiting Jupiter and Saturn has changed since we asked that question, the answer is still the same. One Moon, precisely designed and positioned, is exactly what we need. We hold the moon record in the solar system for the best Moon of all! There are too many “coincidences” for it to be an accident. We see the work of a Creator, who is an amazing Engineer.
— Roland Earnst © 2019

How the Elements Were Created

How the Elements Were CreatedScience has made significant progress in understanding many things about the universe and our planet and the life on it. However, there are many, many things that we have not yet begun to understand. There are also many things we think we understand, but we are still working on better understandings. One question involves how the elements were created.

At the time of the cosmic creation event (widely called the “big bang”), there were atoms with one proton and one electron and some with twice that many. We call simplest element hydrogen, and two hydrogen atoms combine to form helium in the process of nuclear fusion. More and more fusion took place and still is happening in our Sun and other stars. The process requires intense heat and pressure to fuse the atomic nuclei into a heavier atom.

In stars much more massive than our Sun, heavier elements up to iron can are being formed by fusing more and more atoms together. When you go beyond iron, and all the way up to uranium, even the biggest, brightest, and hottest stars can’t squeeze those atoms together. Scientists believe that the heavier elements are created in exploding stars known as supernovae. When they explode, the theory goes, ripples of turbulence form as the supernovae toss their stellar material into the void of the universe. The forces in that turbulence press more and more atoms together to make the heavier elements. As those atomic elements fly off into space, gravity pulls them into lumps which eventually become planets, such as the one on which we live.

A problem with that explanation is that when the atoms are blasted from the supernovae, they are all traveling in the same direction at perhaps the same speed. How can that produce enough force and heat to fuse them together? An alternate explanation is that the explosion within the supernova is not symmetrical, creating areas of greater density. Ultradense and ultrahot regions concentrated in small areas of the exploding mass perhaps give a better explanation of how the elements were created. (See a paper on that published in the Proceedings of the National Academy of Sciences of the United States.)

Carbon is the basic building block of all living cells. Nitrogen and oxygen, which are the next steps above carbon, bond with it along with other atoms to form living molecules. A little higher on the atomic scale are sodium, magnesium, phosphorus, and other elements which are essential to life. Iron, nickel, copper, and other metals are in molecules within our bodies, and we use them in pure form to build our homes, cars, and electronics. The heavier radioactive elements such as uranium deep within the Earth generate the heat that creates a molten iron core that generates a magnetic field which surrounds and protects us. This is a very simple explanation of a very complex system that makes it possible for us to be here.

Science is only beginning to understand how the elements were created and how they are continuing to be created. How did this amazing, complex system come into being with the precision that put life on this planet? We could declare a god-of-the-gaps to say that we don’t understand it and therefore, God did it. It is much better for us to learn HOW God did it. As we begin to see the wisdom required to put this incredibly complex universe together, we become more in awe of the Creator. We don’t have a god-of-the-gaps who “zaps” things into existence like a magician. Our God is an engineer craftsman who creates complexity and beauty that leaves us without excuse. (See Romans 1:20.)
— Roland Earnst © 2019

Solar System Design

Solar System DesignAstronomers today use technology to examine areas of the cosmos far removed from our solar system. The fact that they are finding the other systems are very much different from ours should tell us something. In fact, the more we study those other systems, the more we learn about our solar system design and why it is the way it is.

One interesting fact about other systems is that even though some planets are very large and obviously gaseous, they can exist very close to their stars. Astronomers in the past explained the fact that the inner planets of our own solar system are rocky and hard by saying that the Sun burned off the gases and left the rocky material. That may be partially true, but in 2002 astronomers discovered a planet they named OGLE-TR-56b. It is about the same mass as Jupiter but over 30 percent larger. It has to be a gaseous planet to have such a low density.

The surprising thing is that OGLE-TR-56b orbits its star at an average distance of only 2 million miles (3.2 million km). Our innermost planet Mercury is 36 million miles (58 million km) from the Sun. The outer atmosphere of this planet must be around 3000°F (1650° C). It is evident that gaseous planets can exist very close to their stars, so our old explanation of the inner planets in our solar system design is vastly oversimplified.

Most of the planets we see around other stars are very large, which is not surprising since it is easier to see a big planet than a small one. One extra-solar planet is 17 times as massive as Jupiter. The strange thing is that many of the giant planets are closer to the Sun than Venus. Old theories of planet formation suggested that due to the large gravity values of stars, it was impossible for planets to form close to the stars. We now know that is not true.

Science programs on television have delighted in proposing that the cosmos is full of planets and that every galaxy has literally millions of planets. The hope is that if you have enough planets, the chance of having another Earth is improved. We now know that many galactic systems do not have planets at all. The composition and age of galactic systems obviously have a major impact on whether planets can exist, but claims of billions of Earth-like planets in the cosmos are highly exaggerated.

The type of star also has an impact on whether planetary systems can form. Most stars in the cosmos are binary systems containing more than one star. A planet can orbit the stars at a great distance, but shifting gravity fields make planets unlikely if the stars are close together, as most are. How much metal there is in a star system affects planet formation. Metal content varies within galaxies as well as between stars. A part of space dominated by gases like hydrogen and helium are not as likely to produce planets as areas where there are large amounts of iron, manganese, cobalt, and the like. Solar system design requires the right kind of star.

Perhaps one of the most exciting lessons we have learned from other solar systems is that the shape of the orbits of planets in our solar system is very unusual. Most of them have very circular orbits meaning that their distance from the Sun does not vary a great deal. Venus has an orbit that is .007 with 0 being a perfect circle and 1 is a straight line. Pluto has the most elliptical orbit, but even Pluto is less than .3 on the 0-1 scale. Our solar system design is unusual.

Circular orbits like ours are very rare in other solar systems where .7 is a very common orbital value, and virtually all orbits exceed .3. If a planet swings far out from its star and then comes much closer, it should be obvious that temperature conditions are going to be extreme. Not only will such a planet have extreme conditions itself, but it will have a very negative effect on any planets that do have a circular orbit in the system. If Jupiter came closer to the Sun than Earth with each orbit, imagine the conditions on Earth as Jupiter went by us.

We now know that our gas giant planets (Jupiter, Saturn, Uranus, and Neptune) are essential to us because their gravitational fields sweep up any debris from outer space. Without those planets, comets and asteroids would pound Earth and life here would be difficult if not impossible. The fact that they are outside Earth’s orbit at a considerable distance and in a circular orbit allows us to exist in a stable condition for an extended time. The comets that do enter our system by avoiding the gas giants do not come in along the plane of the solar system called the ecliptic. Coming in from other directions, they have no chance of hitting Earth since they are not in the plane of Earth’s orbit around the Sun.

Like everything in science, the study of the cosmos and other solar systems speaks eloquently to us about the design and planning that is part of everything in the creation. As we discover more data, other factors will surely tell us how unique our solar system design is. In the twenty-first century, we have more reasons than any humans have ever had to realize the truth of Psalms 19:1.
— John N. Clayton © 2019

Jupiter Is in Opposition

Jupiter Is in OppositionJune 10, 2019, is an excellent time to observe the largest planet in our solar system. The reason is that Jupiter is in opposition to our Sun.

When astronomers say that Jupiter is in opposition, they mean that planet Earth is passing between the Sun and Jupiter. At this time, Jupiter will rise in the east as the Sun sets in the west, and it will set in the west as the Sun rises in the east. In other words, Jupiter will be visible all night long, and it will be at its highest point in the sky in the middle of the night.

The picture was taken by the JunoCam on NASA’s spacecraft Juno which is currently orbiting Jupiter. NASA posts the raw images online and encourages individuals to download and process them. Citizen scientist Kevin M. Gill enhanced this one. You can find access to the raw images and see the work of other citizen scientists by clicking HERE.

When you see Jupiter in the sky tonight, it will not look like this picture, but it will be the brightest object in the sky. Jupiter is not a rocky planet like Earth. It’s a gas giant which if were 80 times more massive, would be hot enough to set off nuclear reactions in its core. Then it would be a star giving off its own light instead of just reflecting the Sun’s light. However, if you could lump all the other planets in our solar system together (including Earth), Jupiter would be 2.5 times more massive than them all.

Why do we need such a huge gas giant in the outer solar system? As we have said in previous posts, Jupiter is a comet sweeper. With its massive size and gravity, Jupiter protects us from objects such as comets coming from outside our solar system. In the 1990s, NASA observed Jupiter pulling apart and destroying comet Shoemaker-Levy 9. You can read about that in our previous post HERE. Jupiter also affects Earth’s climate cycles, which you can read about HERE.

Jupiter is in opposition about every 13 months. Last year opposition occurred in May. Next year it will be on July 14. If you miss seeing Jupiter tonight because of cloudy weather or any other reason, don’t despair. Jupiter will be closest to Earth on June 12, and it will continue to be visible, but right now it’s visible all night long.

While Jupiter is in opposition, or at any other time, look up and thank God that He has created such a marvelous and unique solar system to make life possible.
— Roland Earnst © 2019