Some Things Cannot be Known

Superfact 2 : Some Things Cannot Be Known

Some things cannot be known. There are things in mathematics and about our physical world that we know can never be known. For example, we can’t simultaneously know both the exact speed and the exact position of small particles (Heisenberg uncertainty principle). This is not because of a limitation of our instruments. It is a fundamental property of the Universe. But there are more examples of unattainable knowledge. In mathematics there are true statements that can never be proven.

“This”Some Things Cannot be Known” is the third post on my super-factful blog. As mentioned, the goal of this blog is to create a long list of facts that are important and known to be true, yet either disputed by large segments of the public or highly surprising or misunderstood by many. They are facts that are so unnecessarily controversial or astounding that I refer to them as super-facts.

This post is about a fact that may be highly surprising to many. Science knows a lot. People without a solid education in science are often surprised when they find out about some of the amazing things we actually do know.

For example, just by studying the light from a distant star, we can determine what elements it is composed of. The star may be composed of 71% hydrogen, 27% helium, 1% Lithium, and 1% other elements, and we can know that just from its light. We can also determine its temperature, the distance to the star, how it is moving compared to us, where it will be 2.5 million years from now, roughly its age and longevity, and more. 150 years ago, we could not have dreamed of this capability.

We can know so much about a star from its light. Shutter Stock Illustration ID: 566774353 by Nostalgia for Infinity.

However, there are also many things we don’t know, and what may come as a big surprise, we know that there are things we can never know, no matter how advanced science becomes. Infinite experimentation, super intelligence, a quintillion super geniuses, infinite time, we simply cannot acquire some knowledge. The universe itself forbids some knowledge. It also means that the statement “nothing is impossible” is false.

At least my natural reaction to such a claim is, “come on you can’t say that with certainty”, and I expect many others will feel the same. However, the reason some knowledge will never be attainable is that physical laws as well as mathematics and logic forbid some knowledge. Some things are not meant to be known. I will give four examples in the four sections below: the event horizon, the Heisenberg uncertainty principle, beyond the observable Universe, and Gödels incompleteness theorem.

The Event Horizon of a Black Hole

A black hole is a region of spacetime where gravity is so strong that nothing, including light, can escape it. The boundary of no escape is called the event horizon. If you pass the event horizon you cannot come back out no matter how much energy, you expand. Nothing can escape, no matter, no radiation, not light or other electromagnetic radiation, and no information. Nothing at all can escape. The curvature of time and space itself forbids it.

I should add that right at the event horizon, there is so called Hawking radiation, but without complicating things it is not the same thing as escaping a black hole. You can guess from physical laws what might be inside, but you can never observe and report what is inside to planet Earth.

Black Hole Stock Photo ID: 2024419973 by Elena11

I would also like to add some basic information about black holes. Some black holes are formed when large stars die and collapse. These black holes are estimated to have a mass of five to several tens of solar masses. However, there are also super massive black holes that reside in the center of galaxies.

The super massive black hole at the center of our galaxy, the Milky Way, is called Sagittarius A* and is estimated to have a mass of four million times the mass of our sun. The largest known supermassive black hole TON 618 is 66 billion times more massive than our sun. There are an estimated 100 million black holes in our own galaxy, the Milky Way. One interesting fact is that celestial objects can orbit a black hole, just like planets orbit the sun, but as you get too close you will rush, at the speed of light, into the depths of the black hole.

The Heisenberg uncertainty principle

The Heisenberg uncertainty principle states that it’s not possible to know the position and momentum of an object with perfect accuracy at the same time. Another way of saying that is that we cannot know both the position and speed of a particle, such as a photon or electron, with perfect accuracy. The formula is: dX * dP >= h/4pi , or uncertainty in position (dX) times uncertainty in momentum (dP) is larger than half of Planck’s constant.  There is also an energy and time precision limit : dT * dE >= h/4pi.

These equations basically means that there are no perfectly exact measurements or knowledge. Everything is a bit fuzzy. Planck’s constant is very small, so Heisenberg uncertainty principle does not matter for everyday objects, but it matters when sizes are very small (positions, energies, etc.) Note, Heisenberg uncertainty principle is not because of a limitation of our equipment, but a limit set by a law of physics. It is a limitation set by the Universe if you will.

Heisenberg uncertainty principle Shutter Stock Vector ID: 2380436193 by Sasha701

Beyond the observable Universe

The observable universe is a ball-shaped region of the universe consisting of all matter that currently can be observed from Earth or its space-based telescopes. The radius of the observable universe is 46.6 billion light-years. The size of the observable universe is growing. Unfortunately, at those distances, space itself is stretching/expanding faster than the speed of light. Since no signal or information can travel faster than the speed of light we are losing, not gaining, celestial objects from the observable universe.

In the past we’ve lost many galaxies this way. Since the expansion is accelerating, we will keep losing more galaxies beyond the boundary of the universe and some galaxies were always lost (with respect to observation). I can add that the universe may be infinite.

A view of a galaxy full of stars. Photo by Pixabay on Pexels.com

If we are wrong about the fact that the expansion of the universe is accelerating, then perhaps we can observe more galaxies in the future. But if not, then there are galaxies that we have never observed, galaxies that we can never observe, and there are galaxies that will become unobservable in the future. Depending on the size of the universe we may never be able to observe more than an infinitesimally small portion of the universe. Again, the universe is stopping us from knowing something.

Gödels incompleteness theorem(s)

The theorem states that in any reasonable mathematical system there will always be true statements that cannot be proved. In other words, to find a complete and consistent set of axioms for all mathematics is impossible. There are forever hidden truths in mathematics. For the case of natural numbers this means that there will always be statements about natural numbers that are true, but that are unprovable. I can add that there is also a second incompleteness theorem that states that a formal system cannot prove that the system itself is consistent. Basically, there are limits to mathematics set by logic. And some things cannot be known.

I have a book on Gödels incompleteness theorem, which I have not read, but I will read it before I make a post about it. Photo by Andrea Piacquadio on Pexels.com


To see the other Super Facts click here

We Know That the Earth is Billions of Years Old

Superfact 1 : The Earth Is Billions Of Years Old

The scientific evidence overwhelmingly show that Earth is billions of years old. There is no credible scientific evidence for a young Earth.

This is the second post on my super-factful blog. As I mentioned in my first post the goal of this blog is to create a long list of facts that are important and known to be true yet are either disputed by large segments of the public or highly surprising or misunderstood by many. These facts are not trivia, they are accepted as true by the experts in the relevant fields, the evidence that the fact is true is impressive, and they are important to the way we view the world and to what we believe, and yet they are hard pills to swallow for many. They are not scientific theories or complicated insights but facts that can be stated simply.

In lack of a better term, I am referring to these facts as “super facts” and so far, I’ve made a list of more than a hundred. In addition to just stating the fact I will explain why we know that it is true and discuss the evidence, give background information and provide links. However, my posts will not be deep dives into the topics in question. I will try to remember to suggest resources for further study. I am open to suggestions for super facts as well as challenges to super facts I’ve posted, or other things I written that someone may disagree with. In fact, I would find that helpful, as long as we can discuss the issue in good faith and keep it friendly.

I will certainly be open to counter arguments but let’s keep it friendly. Photo by Ketut Subiyanto on Pexels.com

My first super fact, which is this post,  is “We Know That the Earth is Billions of Years Old”. To some this may seem trivial whilst others dispute it. The scientific community states that Earth is 4.5 billion years old and that humans evolved over millions of years. This is not in dispute among the scientists / experts in the relevant fields, and yet a lot of non-scientists do not believe this. A 2019 Gallup poll showed that 40% of US adults believe that God created humans in their current form within the last 10,000 years. Therefore, I think this is a good example of a super fact.

Is Earth 4.5 billion years old or 6,000 years old? Photo by Pixabay on Pexels.com. It was originally taken by Bill Anders and published by NASA.

Older Beliefs

As a teenager I believed that Earth was 6,000 years old. That was before I knew much about science. I had read agenda driven books that left out, or wrongfully dismissed the evidence for an old earth while presenting faulty arguments for a young earth. Just learning about the relevant science was enough for me to realize that I had been bamboozled. At first, I dug my heels in, but I eventually realized that the belief that earth was 6,000 years old was not tenable and unsupportable by science.  

If I had known and understood any of what I am posting in this post when I was 14 years old, I don’t think I would have been bamboozled by the young earth creationist books. However, I can add it was not the only time I was bamboozled. I am hoping my blog will lead to some new insights and good reflection including for myself.

Perhaps some new insight. Perhaps some intellectually honest reflection. Photo by Keegan Houser on Pexels.com

“Old Earth” Vs “Young Earth”

Below I am first presenting some evidence for “old earth” and then some arguments, or faulty evidence, for “young earth”.

Radiometric dating of meteorite material, terrestrial material and lunar samples demonstrate that earth is 4.5 billion years, or more precisely 4.54 billion years old.

The various measurements include radiometric dating of rocks and crystals and meteorites found in the earth’s crust as well as moon rocks. There are a number of radiometric dating methods, not just carbon-14.

For example, comparisons of the abundance of carbon-12 and carbon-13 has been used to established that the increase of carbon dioxide in the atmosphere comes from burning fossil fuels, not another source of carbon. Radiometric dating methods use the relative abundance of radioactive isotopes in materials. For example, I-129 (Iodine 129) decays to X-129 (Xenon 129) with a half-life of 16 million years. So, if only a quarter of the original amount of I-129 remains you know that corresponds to 32 million years.

There are a lot of other radioactive isotopes with a wide range of half-lives that can be used for radiometric dating, including uranium-lead dating (U-235, U-238, Pb-206, Pb-207), Samarium–neodymium dating, Potassium–argon dating, Rubidium–strontium dating, Uranium–thorium dating, Chlorine-36 dating, Argon–argon dating, Iodine–xenon dating (I-129 – Xe-129), Lanthanum–barium dating, Lead–lead dating, Hafnium–tungsten dating, Oxygen-Oxygen dating (Isotopes O-16, O-17, O-18), Potassium–calcium dating, Rhenium–osmium dating, Uranium–uranium dating, Krypton–krypton dating, Beryllium dating (Be-10 Be-9), and many others as well the mixing of dating methods.

These dating methods use radioactive decay to establish age, and the various isotopes mentioned have half-lives from a few thousand years to billion years.

There are also dating methods that do not use the relative abundance of radioactive isotopes to establish age. In fission track dating you count the “track” markings left in it by the spontaneous fission of , for example, uranium-238 impurities. In this case you don’t need to know the initial abundance of the radioactive isotope.

In luminescence dating methods you don’t even rely on radioactive isotopes but the effect that background radiation has had on materials. Stratigraphy, or stratigraphic dating, is a relative dating method that uses layers of sediment, rock, debris, and other materials to date events.

Radiometric dating uses the rate of radioactive decay and knowledge of initial relative abundances to establish age. Earth comes out to be billions of years old, not 6,000. Stock Vector ID: 2417370135 by grayjay
We can see galaxies that are billions of lightyears away.

This does not establish the age of the earth, but young earth creationists typically also believe in a young universe. In addition, an old universe makes a young earth implausible.

The light from a powerful stellar object or a galaxy that is five billion light years away took five billion years to reach us.
We know stars are old because they develop according to certain physical processes.

These physical processes give different stars different lifespans. You can establish the age of a star by determining where it is along its development. An example is our sun. It has fused (burned up) up around five billion years’ worth of hydrogen, so we know it is around five billion years old.

The heavier elements in our solar system originate with older stars that burned out and exploded.

Our solar system, the earth and our bodies contain many kinds of elements heavier than iron. However, elements above iron in the periodic table cannot be formed in the normal nuclear fusion processes in stars. But they can be formed when massive stars die in a supernova explosion or when neutron stars (dead stars) collide. A massive star living, dying, exploding in a supernova, and after that the heavy elements are spread all the way to our solar system, is not a process that can take only 6,000 years. It’s millions and billions of years. It is also interesting to note that this means that parts of our body consist of materials originating in faraway dead stars. We are stardust.

Electromagnetic radiation, including light, and heat transfer, travels from the inside of the sun to the surface and this process takes 100,000 years.

The photons are emitted and reabsorbed over and over, which is a relatively slow process inside the side. If the solar system, the earth, the sun, etc., is only 6,000 years old, how can we see the sun?

Heat / radiation transfer from the inside of the sun to the surface of the sun takes 100,000 years.

Finally, some young earth arguments

Radioactive decay rates have changed drastically (No!)

First, this is an ad hoc argument that lacks evidence. Secondly this claim cannot work. The rates of radiometric decay (the ones relevant to radiometric dating) are a result of fundamental physical properties of matter, such as the probability per unit time that a certain particle can “tunnel” out of the nucleus of the atom.

You can’t change fundamental physical properties without destroying physics and how atoms work. The claim is also contrary to empirical evidence. For example, analysis of spectra from quasars show that the fine structure constant has not changed over the last ten billion years.

Another problem with this argument is that for a young earth you would need the decay rates to have been millions of times faster in the past, which would require changes in fundamental properties that would have plenty of noticeable effects on processes other than radioactive decay, not to mention the radiation being millions of times stronger than today. That’s a lot of radiation for Adam and Eve to survive. It would have fried everything.

In addition it is also a mystery how the dozens of different radiometric dating methods could have remained consistent with each other throughout time and add the fact that there are dating methods that do not rely on the decay rate of isotopes.

Young earth creationists sometimes make the claim that the initial ratios between isotopes may have been different.

That the initial ratios/condition were different in the past and therefore radiometric dating is unreliable is a better argument, but it also fails. In this case you must take it case by case for each radiometric dating method and situation. There are some rare cases of mistaken assumptions but there are also cases where the amount of the daughter isotope is known to have been zero, which makes it easy and reliable.

The speed of light in vacuum has changed throughout history (No!)

Similar to the situation above, this objection does not work because the light speed in vacuum is a fundamental constant that is not believed to change, and it would be very strange if it could change. It has been measured and no change has been seen. An example is the Einstein’s equivalence of energy and mass E = mc2. If the speed of light once was millions of times faster than now, the energy contained in a kilogram would be a trillion times larger than now. Where did all that energy go?

Another example, from electromagnetic theory the speed of light is determined by the inverse of the square root of the electric constant multiplied by the magnetic constant (see below). You would have to drastically change the strength of the electric and magnetic fields (by the trillions) to get the speed of light to be millions of times faster. If you for example made the electric field a trillion times weaker how would atoms hold together?

Yet another example, Planck’s law features the speed of light in vacuum constant. In physics, Planck’s law describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T, when there is no net flow of matter or energy between the body and its environment. Changing the speed of light in vacuum would turn light into very slow microwaves. How would Adam and Eve be able to see? Not to mention that the proportionality constant on the right-hand side of Einstein’s field equations has the speed of light in it. Gravity would essentially disappear. The light speed in vacuum shows up in many other physical relations as well.

A few equations in which the speed of light in vacuum is a fundamental constant.

The earth’s magnetic field has been weakening during the last 130 years as if it was formed from currents resulting from earth being a discharging capacitor (claim by Thomas Barnes). This would make an impossibly strong magnetic field already 8,000 years ago.

I remember this being one of the arguments in a young earth creationist book that I read as a teenager. However, there are a number of problems with this claim.

  • The first problem with this argument is that there is no good reason to believe that earth’s magnetic field acts this way. It does not act like a discharging capacitor.
  • We know that earth’s magnetic field has reversed itself several times thus disproving the discharging capacitor model.
  • Thomas Barnes’ extrapolation completely ignores the nondipole component of the field.
Earth’s magnetic field. Stock Vector ID: 1851166585 by grayjay.

If the earth and the moon were billions of years old there would be a hundred feet thick dust layer from meteorites  on the moon. The moon landing proved otherwise.

This is yet another argument I remember reading in a young earth creationist book (Scientific Creationism by Henry Morris) as a teenager. The problem with this argument, as I would later find out, is that Morris’ claims about a hundred feet thick dust layer was based on faulty and obsolete data. The expected depth of meteoritic dust on the Moon is less than one foot (after billions of years).

An old earth would be covered by 182 feet of meteoric dust.

This is another claim that I remember from Henry Morris’ book. The observed rates used in Morris’s calculations are based on dust collected in atmosphere; this measurement was contaminated by dust from the earth. More recent measurements of cosmic dust influx measured from satellites give an influx rate of about 1% as large, corresponding to a 66 centimeter at most thick over 4.5 billion  years.

Basically, the evidence for an old earth is very compelling whilst young earth objections to that evidence fails, and young earth arguments tend to fail. At least I am not aware of any valid young earth argument. In addition, based on my readings of young earth creationist books, these books tend to be conspiratorial in nature and making implausible claims about scientific community having certain agendas. There is a reason the young earth view is nearly universally rejected by the relevant scientists.

Conclusion

My conclusion is that the fact that we know that the Earth is Billions of Years Old is a super fact. We know it’s true, it is important, and yet large portions of the public reject that fact.


To see the other Super Facts click here